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A Person is 280 meters behind a bus. Then the man starts running towar

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A Person is 280 meters behind a bus. Then the man starts running towar  [#permalink]

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New post 24 Jan 2020, 02:00
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Question Stats:

64% (02:24) correct 36% (02:36) wrong based on 25 sessions

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A Person is 280 meters behind a bus. Then the man starts running towards the bus and at the same time, the bus starts moving away from the Person. If the speed of the bus is 2m/s and that of the person is 24Km/hr, In how much time will the person catch the bus?

A. 60 seconds
B. 80 seconds
C. 90 seconds
D. 120 seconds
E. None of these

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Re: A Person is 280 meters behind a bus. Then the man starts running towar  [#permalink]

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New post 24 Jan 2020, 03:04
Bunuel wrote:
A Person is 280 meters behind a bus. Then the man starts running towards the bus and at the same time, the bus starts moving away from the Person. If the speed of the bus is 2m/s and that of the person is 24Km/hr, In how much time will the person catch the bus?

A. 60 seconds
B. 80 seconds
C. 90 seconds
D. 120 seconds
E. None of these


Relative distance = 280 meters

Speed of Bus = 2 m/s
Speed of Person = 24 km/hr = 24*1000/3600 m/s = 20/3 m/s

Relative Speed (Same direction) = (20/3)-2 = 14/3 m/s

Time to catch = Relative distance / Relative speed = 280 / (14/3) = 60 seconds

Answer: Option A
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Re: A Person is 280 meters behind a bus. Then the man starts running towar  [#permalink]

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New post 24 Jan 2020, 03:14
The person is traveling 24,000 meters per hour, or 24,000/60 = 400 meters per minute. The bus is traveling 2 meters per second, or 120 meters per minute. So the person is gaining on the bus by 400-120 = 280 meters every minute, and it will take exactly one minute, or 60 seconds, for the person to catch the bus.
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Re: A Person is 280 meters behind a bus. Then the man starts running towar  [#permalink]

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New post 24 Jan 2020, 09:22
Bunuel wrote:
A Person is 280 meters behind a bus. Then the man starts running towards the bus and at the same time, the bus starts moving away from the Person. If the speed of the bus is 2m/s and that of the person is 24Km/hr, In how much time will the person catch the bus?

A. 60 seconds
B. 80 seconds
C. 90 seconds
D. 120 seconds
E. None of these


24 kmph = 24*5/18

Now, relative speed is 120/18 -2 = 20/3 - 2 => 14/3

So, Time required is 280*3/14 = 60 sec, Answer must be (A) 60 sec
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Re: A Person is 280 meters behind a bus. Then the man starts running towar   [#permalink] 24 Jan 2020, 09:22
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