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A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?

  • A.48 kmph
  • B.45 kmph
  • C.43 kmph
  • D.44 kmph

Answer: B

Let the distance to be travelled to catch the bus be x km

x/30 - x/40 = 30/60 => (4x - 3x)/120 = 1/2 => x = 60 km

By traavelling 30 kmph time taken = 60/30 = 2 hours

By taking 2 hours, he is late by 40 min. So, he has to cover 60 km in at most speed = 60/(4/3) = 45 kmph.

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