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CAT 2007 | Question: 09

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Directions for the below question.

Cities A and B are in different time zones. A is located $3000$ km east of B. The table below describes the schedule of an airline operating non-stop flights between A and B. All the times indicated are local and on the same day.

Departure

  

Arrival

  

City

Time

City

Time

B

$8:00$ am

A

$3:00$ pm

A

$4:00$ pm

B

$8:00$ pm

Assume that planes cruise at the same speed in both directions. However, the effective speed is influenced by a steady wind blowing from east to west at $50$ km per hour.

What is the plane’s cruising speed in km per hour?

  1. $700$
  2. $550$
  3. $600$
  4. $500$
  5. cannot be determined

1 Answer

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From A to B

Speed of plane + Speed of air = Resultent speed

distance covering by plane 3000km in 4 hours

Resultent speed =3000/4=750 km/hr

So, Speed of plane = 750 - 50 =700km/hr

From B to A

Speed of plane - Speed of air = Resultent speed

Resultent Speed 3000/7=428.57km/hr

Speed of plane=428+50=478km/hr

So, Ans is (E) Cannot be determined
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