NIMCET 2008 Question Paper with solutions

Question : 53 of 120

Marks: +1, -0

If a man walks at the rate of 4 km / h , he misses a train by only 6 min. However, if he walks at the rate of 5 km / h he reaches the station 6 min before the arrival of the train. Find the distance covered by him to reach the station.

Validate

Solution:

d

is the distance covered, then if 't' hour is the required time to catch the train in time, then

{d}/{4}=t+\;{1}/{10}

and

{d}/{5}=t- {1}/{10}

⇒ {d}/{4}-\;{d}/{5}= {1}/{10}+\;{1}/{10}

⇒ {d}/{20}=\;{1}/{5} ⇒ d=\;{20}/{5}=4 {km}

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