# Recent questions tagged speed-distance-time

1 vote
1
Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in $45 \; \text{minutes},$ Amal completes exactly $3$ more rounds than Mira. If they walk in opposite directions, then they meet for the first time exactly after $3 \; \text{minutes}.$ The number of rounds Mira walks in one hour is
1 vote
2
Two trains $\text{A}$ and $\text{B}$ were moving in opposite directions, their speeds being in the ratio $5:3.$ The front end of $\text{A}$ crossed the rear end of $\text{B} \; 46 \; \text{seconds}$ ... cross each other. The ratio of length of train $\text{A}$ to that of train $\text{B}$ is $2:3$ $2:1$ $3:2$ $5:3$
1 vote
3
Two trains cross each other in $14 \; \text{seconds}$ when running in opposite directions along parallel tracks. The faster train is $160 \; \text{m}$ long and crosses a lamp post in $12 \; \text{seconds}.$ If the speed of the other train is $6 \; \text{km/hr}$ less than the faster one, its length, in $\text{m},$ is $190$ $192$ $184$ $180$
1 vote
4
$\text{A}$ and $\text{B}$ are two railway stations $90 \; \text{km}$ apart. A train leaves $\text{A}$ at $9:00 \; \text{am},$ heading towards $\text{B}$ at a speed of $40 \; \text{km/hr}.$ Another train leaves $\text{B}$ at $10:30 \; \text{am},$ heading towards $\text{A}$ at a ... trains meet each other at $11:45 \; \text{am}$ $10:45 \; \text{am}$ $11:20 \; \text{am}$ $11:00 \; \text{am}$
5
Vimla starts for office every day at $9 \; \text{am}$ and reaches exactly on time if she drives at her usual speed of $40 \; \text{km/hr}.$ She is late by $6 \; \text{minutes}$ if she drives at $35 \; \text{km/hr}.$ One day, she covers two-thirds of her ... $\text{km/hr},$ at which she should drive the remaining distance to reach office exactly on time is $29$ $27$ $28$ $26$
6
Anil, Sunil, and Ravi run along a circular path of length $3 \; \text{km},$ starting from the same point at the same time, and going in the clockwise direction. If they run at speed of $15 \; \text{km/hr}, 10 \; \text{km/hr},$ and $8 \; \text{km/hr},$ respectively, how ... $?$ $4.2$ $5.2$ $4.8$ $4.6$
7
In a car race, car $\text{A}$ beats car $\text{B}$ by $45 \; \text{km},$ car $\text{B}$ beats car $\text{C}$ by $50 \; \text{km},$ and car $\text{A}$ beats car $\text{C}$ by $90\;\text{km}.$ The distance $\text{(in km)}$ over which the race has been conducted is $500$ $475$ $550$ $450$
8
Two circular tracks $\text{T}1$ and $\text{T}2$ of radii $100 \; \text{m}$ and $20 \; \text{m},$ respectively touch at a point $\text{A}.$ Starting from $\text{A}$ at the same time, Ram and Rahim are walking on track $\text{T}1$ and track $\text{T}2$ at ... $4$ $3$ $2$ $5$
9
$\text{A}$ and $\text{B}$ are two points on a straight line. Ram runs from $\text{A}$ to $\text{B}$ while Rahim runs from $\text{B}$ to $\text{A}.$ After crossing each other, Ram and Rahim reach their destinations in one minute and four minutes, respectively. If they start at the same time, then the ratio of Ram’s speed to Rahim’s speed is $2$ $\sqrt{2}$ $2\sqrt{2}$ $\frac{1}{2}$
10
The distance from $\text{B}$ to $\text{C}$ is thrice that from $\text{A}$ to $\text{B}.$ Two trains travel from $\text{A}$ to $\text{C}$ via $\text{B}.$ The speed of train $2$ is double that of train $1$ while traveling from $\text{A}$ to $\text{B}$ and their speeds are ... taken by train $1$ to that taken by train $2$ in traveling from $\text{A}$ to $\text{C}$ is $1:4$ $7:5$ $5:7$ $4:1$
1 vote
11
Two persons are walking beside a railway track at respective speeds of $2$ and $4$ km per hour in the same direction. A train came from behind them and crossed them in $90$ and $100$ seconds, respectively. The time, in seconds, taken by the train to cross an electric post is nearest to $87$ $82$ $75$ $78$
1 vote
12
A straight road connects points $\text{A}$ and $\text{B}$. Car $1$ travels from $\text{A}$ to $\text{B}$ and Car $2$ travels from $\text{B}$ to $\text{A}$, both leaving at the same time. After meeting each other, they take $45$ minutes and $20$ minutes, respectively, to complete their ... . If Car $1$ travels at the speed of $60$ km/hr, then the speed of Car $2$, in km/hr, is $90$ $100$ $80$ $70$
1 vote
13
Leaving home at the same time, Amal reaches office at $10:15$ am if he travels at $8$ km/hr, and at $9:40$ am if he travels at $15$ km/hr. Leaving home at $9:10$ am, at what speed, in km/hr, must he travel so as to reach office exactly at $10$ am? $13$ $14$ $12$ $11$
1 vote
14
A train travelled at one$-$thirds of its usual speed, and hence reached the destination $30$ minutes after the scheduled time. On its return journey, the train initially travelled at its usual speed for $5$ minutes but then stopped for $4$ minutes for an emergency. The ... now increase its usual speed so as to reach the destination at the scheduled time, is nearest to $58$ $67$ $61$ $50$
15
A man walks $10$ miles at an average rate of $2$ miles per hour and returns on a bicycle at an average rate of $10$ miles per hour. How long (to the nearest hour) does the entire trip take him? $4$ hours $5$ hours $6$ hours $7$ hours
16
Two bicyclists travel in opposite directions. One travels $5$ miles per hour faster than the other. In $2$ hours they are $50$ miles apart. What is the rate of the faster bicyclist? $11.25$ mph $15$ mph $20$ mph $22.5$ mph
17
A man travels $35$ km partly at $4$ $kmph$ and partly at $5$ $kmph$. If he covers the former distance at $5$ $kmph$ and the later distance at $4$ $kmph$, he could cover $2$ km more in the same time. The time taken to cover the whole distance at the original rate (in hours) is : $4\frac{1}{2}$ $7$ $8$ $9$
18
A man walks at $5$ kmph for $6$ hr and at $4$ km/h for $12$ hr. His average speed is $4\frac{1}{3}$ km/h $9\frac{2}{3}$ km/h $9½$ km/h $8$ km/h
19
Two persons start walking on a road that diverge at an angle of $120^{\circ}$. If they walk at the rate of $3$km/h and $2$km/h respectively. Find the distance between them after $4$hrs. $4\sqrt{19}$ km $5$ km $7$ km $8\sqrt{19}$ km
20
On a scale of a map, $0.6$ cm represents $6.6$ km. If the distance between two points on the map is $80.5$ cm, the actual distance between these points is: $9$ km $72.5$ km $190.75$ km $885.5$ km
21
A car travels at an average of $50$ miles per hour for $2.5$ hours and then travels at a speed of $70$ miles per hour for $1.5$ hours. How far did the car travel in the entire $4$ hours? $210$ miles $230$ miles $250$ miles $260$ miles
22
An hour after Aishwarya started from her college towards Ananya’s home, a distance of $53$ km, Ananya started from her home on the same road towards Aishwarya’s college. If Aishwarya’s speed was $4$ km per hour and Ananya’s was $3$ km per hour, how many km from Ananya’s home did the two meet? $24$ $22$ $21$ $19.5$
23
A train started from Mumbai at $6.00$ A.M. On the next (second) station $1/3$ passengers got down and $96$ got in. On the next (third) station, $1/2$ of the total passengers present in the train, got down and $12$ came in. Now there were $248$ passengers in the train, when the train started from Mumbai, the number of passengers was: $435$ $564$ $654$ $736$
24
A train starts at $7$ a.m. from $A$ towards $B$ with a speed of $50$ km/hr. Another train from $B$ starts at $8$ a.m. with a speed of $60$ km/hr towards $A$. Both of them meet at $10$ a.m. at $C$. The ratio of the distances $AC$ to $BC$ is : $4:5$ $5:4$ $5:6$ $6:5$
25
$A$ can run $200$ m in $35$ seconds and $B$ in $38$ seconds. By what distance $A$ beats $B$? $15$ m $15\dfrac{2}{3}$ m $15\dfrac{15}{19}$ m $15\dfrac{4}{19}$ m
1 vote
26
A train running at the speed of $60$ km/hr crosses a pole in $9$ seconds. What is the length of the train? $120$ meters $180$ meters $324$ meters $150$ meters
27
Mahira and Neelima started walking towards each other, simultaneously from Gandhi Nagar and Nehru Nagar respectively, which are $72$ miles apart. They met after $6$ hours. After their meeting, Mahira reduced her speed by $1$ mile/h and Neelima increased by $1$ mile/h. They arrived at Nehru Nagar and Gandhi ... $7$ miles/h $6.5$ miles/h and $5.5$ miles/h $15.5$ miles/h and $9$ miles/h
1 vote
28
John jogs on track $\text{A}$ at $6$ kmph and Mary jogs on track $\text{B}$ at $7.5$ kmph. The total length of tracks $\text{A}$ and $\text{B}$ is $325$ metres. While John makes $9$ rounds of track $\text{A}$, Mary makes $5$ rounds of track $\text{B}$. In how many seconds will Mary make one round of track $\text{A}$ ________
1 vote
29
A cyclist leaves $\text{A}$ at $10$ am and reaches $\text{B}$ at $11$ am. Starting from $10:01$ am, every minute a motor cycle leaves $\text{A}$ and moves towards $\text{B}$. Forty-five such motor cycles reach $\text{B}$ by $11$ am. All motor cycles have the ... doubled his speed, how many motor cycles would have reached $\text{B}$ by the time the cyclist reached $\text{B}?$ $23$ $20$ $15$ $22$
1 vote
30
Two ants $\text{A}$ and $\text{B}$ start from a point $\text{P}$ on a circle at the same time, with $\text{A}$ moving clock-wise and $\text{B}$ moving anti-clockwise. They meet for the first time at $10:00$ am when $\text{A}$ has covered $60\%$ of the track. If $\text{A}$ returns to $\text{P}$ at $10:12$ am, then $\text{B}$ returns to $\text{P}$ at $10:25$am $10:18$am $10:27$am $10:45$am
31
On a long stretch of east-west road, $\text{A}$ and $\text{B}$ are two points such that $\text{B}$ is $350$ km west of $\text{A}$. One car starts from $\text{A}$ and another from $\text{B}$ at the same time. If they move towards each other, then they meet after $1$ hour. If they both move towards east, then they meet in $7$ hrs. The difference between their speeds, in km per hour, is _______
32
The arithmetic mean of $x,y$ and $z$ is $80$, and that of $x,y,z,u$ and $v$ is $75$, where $u=\left (x+y \right)/2$ and $v=\left (y+z \right)/2$. If $x\geq z$, then the minimum possible value of $x$ is ____________
33
Points $\text{A}$ and $\text{B}$ are $150$ km apart. Cars $1$ and $2$ travel from $\text{A}$ to $\text{B}$, but car $2$ starts from $\text{A}$ when car $1$ is already $20$ km away from $\text{A}$. Each car travels at a speed of $100$ kmph for the first $50$ ... , and at $25$ kmph for the last $50$ km. The distance, in km, between car $2$ and $\text{B}$ when car $1$ reaches $\text{B}$ is ________
34
Points $\text{A, P, Q}$ and $\text{B}$ lie on the same line such that $\text{P, Q}$ and $\text{B}$ are, respectively, $100$ km, $200$ km and $300$ km away from $\text{A}$. Cars $1$ and $2$ leave $\text{A}$ at the same time and move towards $\text{B}$. Simultaneously, ... . If each car is moving in uniform speed then the ratio of the speed of car $2$ to that of car $1$ is $1:2$ $2:9$ $1:4$ $2:7$
35
Point $\text{P}$ lies between points $\text{A}$ and $\text{B}$ such that the length of $\text{BP}$ is thrice that of $\text{AP}$. Car $1$ starts from $\text{A}$ and moves towards $\text{B}$. Simultaneously, car $2$ starts from $\text{B}$ ... car $2$ is half that of car $1$, then the time, in minutes, taken by car $1$ in reaching $\text{P}$ from $\text{A}$ is ___________
36
Train $\text{T}$ leaves station $\text{X}$ for station $\text{Y}$ at $3$ pm. Train $S$, traveling at three quarters of the speed of $\text{T}$, leaves $\text{Y}$ for $\text{X}$ at $4$ pm. The two trains pass each other at a station $\text{Z}$, where the distance ... that between $\text{X}$ and $\text{Y}$. How many hours does train $\text{T}$ take for its journey from $\text{X}$ to $\text{Y}$?
37
The distance from $\text{A}$ to $\text{B}$ is $60$ km. Partha and Narayan start from $\text{A}$ at the same time and move towards $\text{B}$. Partha takes four hours more than Narayan to reach $\text{B}$. Moreover, Partha reaches the mid-point of $\text{A}$ and $\text{B}$ two hours before Narayan reaches $\text{B}$. The speed of Partha, in km per hour, is $4$ $6$ $5$ $3$
1 vote
In a $10$ km race, $\text{A, B}$ and $\text{C}$, each running at uniform speed, get the gold, silver, and bronze medals, respectively. If $\text{A}$ beats $\text{B}$ by $1$ km and $\text{B}$ beats $\text{C}$ by $1$ km, then by how many metres does $\text{A}$ beat $\text{C}$? $1800$ $1900$ $1500$ $1600$
Arun drove from home to his hostel at $60$ miles per hour. While returning home he drove halfway along the same route at a speed of $25$ miles per hour and then took a bypass road which increased his driving distance by $5$ miles, but allowed him to drive at $50$ ... $30$ minutes more than his onward journey, then the total distance traveled by him is $55$ miles $60$ miles $65$ miles $70$ miles
A motorbike leaves point $\text{A}$ at $1$ pm and moves towards point $\text{B}$ at a uniform speed. A car leaves point $\text{B}$ at $2$ pm and moves towards point $\text{A}$ at a uniform speed which is double that of the motorbike. They meet at $3:40$ pm at a point which is $168$ km away from $\text{A}$. What is the distance, in km, between $\text{A}$ and $\text{B}?$ $364$ $378$ $380$ $388$