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Question

Hi,

need help in the following question :

At 8am, Tom started travelling from Town A to Town B. At 8:40am, John started travelling from Town B to Town A. Tom’s speed and John’s speed were 45 km/h and 30km/h respectively. They did not change their speeds throughout the journey. When they met each other, their distance from Town A was twice their distance from Town B. Find the distance between Town A and Town B.

Thanks in advance.

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Answer

At 8:40am, Tom would have travelled 4/6 x 45= 30km.

The ratio of the Remaining distance covered by Tom : John =>45:30, as speed is proportional to distance.

Remaining distance= 45u + 30u, where Tom covered 45u and John covered 30u.

Total distance= 30 + remaining distance

 

Distance to town A is 30 + 45u and distance to town B is 30u and importantly distance to town A is twice of town B.

30 +45u = 2 x 30u

15u = 30

u=2

Total distance = 30 + 75u = 180km ##

 

2 Replies 3 Likes
post-18387

Not another answer. Just putting it in diagram, if it helps.

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A picture  provides much clarity I think it explains the thought process very well.

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Thanks so much !

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