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

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NUS School Moderator
Joined: 18 Jul 2018
Posts: 1019
Location: India
Concentration: Finance, Marketing
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A Person is 280 meters behind a bus. Then the man starts running towar  [#permalink]

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Updated on: 02 Oct 2018, 02:18
2
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Difficulty:

45% (medium)

Question Stats:

68% (02:14) correct 32% (02:20) wrong based on 46 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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Originally posted by Chethan92 on 02 Oct 2018, 00:42.
Last edited by Chethan92 on 02 Oct 2018, 02:18, edited 1 time in total.
Director
Joined: 20 Feb 2015
Posts: 762
Concentration: Strategy, General Management
Re: A Person is 280 meters behind a bus. Then the man starts running towar  [#permalink]

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Updated on: 02 Oct 2018, 01:46
1
Afc0892 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 minutes
b) 80 minutes
c) 90 minutes
d) 120 minutes
e) None of these

speed of the person = $$\frac{(24 *1000 )}{3600}$$ =$$\frac{20}{3}$$ m/s

Relative speed = $$\frac{20}{3}$$ - 2 (since they are moving in the same direction) = $$\frac{14}{3}$$

time taken =$$\frac{280}{(14/3)}$$ = 60 seconds

E

pretty handy if we can remember the following same as 1000/3600 stuff

1. When converting from kmph to mps multiply with $$\frac{5}{18}$$
2. When converting from mps to kmph multiply with $$\frac{18}{5}$$

Originally posted by CounterSniper on 02 Oct 2018, 00:54.
Last edited by CounterSniper on 02 Oct 2018, 01:46, edited 1 time in total.
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Joined: 12 Sep 2018
Posts: 27
Re: A Person is 280 meters behind a bus. Then the man starts running towar  [#permalink]

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02 Oct 2018, 01:39
2
CounterSniper wrote:
Afc0892 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 minutes
b) 80 minutes
c) 90 minutes
d) 120 minutes
e) None of these

speed of the person = $$\frac{(24 *1000 )}{3600}$$ =$$\frac{20}{3}$$ m/s

Relative speed = $$\frac{20}{3}$$ - 2 (since they are moving in the same direction) = $$\frac{14}{3}$$

time taken =$$\frac{280}{(14/3)}$$ = 60 minutes

A

pretty handy if we can remember the following same as 1000/3600 stuff

1. When converting from kmph to mps multiply with $$\frac{5}{18}$$
2. When converting from mps to kmph multiply with $$\frac{18}{5}$$

CounterSniper But shouldn't your answer be in seconds? You have used 280m / (m/s). Then the answer has to be 60sec=1min.
Director
Joined: 20 Feb 2015
Posts: 762
Concentration: Strategy, General Management
Re: A Person is 280 meters behind a bus. Then the man starts running towar  [#permalink]

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02 Oct 2018, 01:47
artiom01 wrote:
CounterSniper wrote:
Afc0892 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 minutes
b) 80 minutes
c) 90 minutes
d) 120 minutes
e) None of these

speed of the person = $$\frac{(24 *1000 )}{3600}$$ =$$\frac{20}{3}$$ m/s

Relative speed = $$\frac{20}{3}$$ - 2 (since they are moving in the same direction) = $$\frac{14}{3}$$

time taken =$$\frac{280}{(14/3)}$$ = 60 minutes

A

pretty handy if we can remember the following same as 1000/3600 stuff

1. When converting from kmph to mps multiply with $$\frac{5}{18}$$
2. When converting from mps to kmph multiply with $$\frac{18}{5}$$

CounterSniper But shouldn't your answer be in seconds? You have used 280m / (m/s). Then the answer has to be 60sec=1min.

Yes it should be 60 seconds
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1019
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: A Person is 280 meters behind a bus. Then the man starts running towar  [#permalink]

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02 Oct 2018, 02:18
artiom01 wrote:
CounterSniper wrote:
Afc0892 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 minutes
b) 80 minutes
c) 90 minutes
d) 120 minutes
e) None of these

speed of the person = $$\frac{(24 *1000 )}{3600}$$ =$$\frac{20}{3}$$ m/s

Relative speed = $$\frac{20}{3}$$ - 2 (since they are moving in the same direction) = $$\frac{14}{3}$$

time taken =$$\frac{280}{(14/3)}$$ = 60 minutes

A

pretty handy if we can remember the following same as 1000/3600 stuff

1. When converting from kmph to mps multiply with $$\frac{5}{18}$$
2. When converting from mps to kmph multiply with $$\frac{18}{5}$$

CounterSniper But shouldn't your answer be in seconds? You have used 280m / (m/s). Then the answer has to be 60sec=1min.

Edited. Thank you
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Re: A Person is 280 meters behind a bus. Then the man starts running towar   [#permalink] 02 Oct 2018, 02:18
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