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# Alfred and Botham are the residents of a colony. Alfred and Botham

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Alfred and Botham are the residents of a colony. Alfred and Botham  [#permalink]

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Updated on: 07 Apr 2018, 20:02
00:00

Difficulty:

45% (medium)

Question Stats:

60% (01:31) correct 40% (01:26) wrong based on 87 sessions

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Alfred and Botham are the residents of a colony. Alfred and Botham started simultaneously on a straight road. Is the time taken by them to meet more than 12 seconds, if Alfred moves towards Botham?

(1) The distance between Alfred and Botham is 200 m and the uniform speeds of Alfred and Botham are 30 m/s and 10 m/s respectively.
(2) Both Alfred and Botham are travelling in the same direction.

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Originally posted by Nixondutta on 07 Apr 2018, 02:36.
Last edited by chetan2u on 07 Apr 2018, 20:02, edited 1 time in total.
corrected the question
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Alfred and Botham are the residents of a colony. Alfred and Botham  [#permalink]

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07 Apr 2018, 20:00
Nixondutta wrote:
Alfred and Botham are the residents of a colony. Alfred and Botham started simultaneously to meet each other. Is the time taken by them to meet more than 12 seconds?

(1) The distance between Alfred and Botham is 200 m and the uniform speeds of Alfred and Botham are 30 m/s and 10 m/s respectively.
(2) Both Alfred and Botham are travelling in the same direction.

Few flaws in the question..

1) if they are walking to meet each other, they have to walk towards each other. However statement II is contradictory, saying they walk in same direction. Why would someone walk towards EAST to meet someone in WEST.
Question should just say, they both start walking in a straight road etc

2) if the Question is framed the way it is above, Ans will be E as Alfred with higher speed starts moving in opposite direction, Botham can never catch up...
Question should say that Alfred is moving towards Botham

If the question is this way..

Statement I would be sufficient...
Distance between them 200..
1) if both move towards each other, combined speed=30+10=40
Time to meet each other =200/40=5
2) if B is moving away from A, combined speed=30-10=20
Time to meet each other =200/20=10

In each case LESS than 12
Sufficient
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Re: Alfred and Botham are the residents of a colony. Alfred and Botham  [#permalink]

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21 May 2019, 09:12
This one is quite the trick question

We are asked whether A meets B in less than 12 seconds.
Naturally, we assume that we need the distance between them, the speed in which each is moving and the direction in which they move.

However, due to the information given in Statement 1 we can determine that A meets B in at most 10sec after they started moving, hence we are able to answer the question.
However, the data presented in Statement two is completely useless on its own.
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Re: Alfred and Botham are the residents of a colony. Alfred and Botham   [#permalink] 21 May 2019, 09:12
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