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If a man cycles at $10$ km per hour, then he arrives at a certain place at $1$ p.m. If he cycles at $15$ km per hour, he will arrive at the same place by $11$ a.m. At what he must he cycle to get there at noon?

  1. $11$ km per hour
  2. $12$ km per hour
  3. $13$ km per hour
  4. $14$ km per hour

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12 km/hr

as take 1pm as reference

then 10/t=15(t-2)

t=6

d=v/t

=10t/(t-1)

=12km/h
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