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Q.

A train can travel 50% faster than a car. Both start from point A at the same time and reach point B 75 kms away from A at the same time. On the way, however, the train lost about 12.5 minutes while stopping at the stations. The speed of the car is:

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a

100kmph

b

110 kmph

c

120 kmph

d

130 kmph

answer is C.

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Detailed Solution

Concept-To solve this problem, you need to use the velocity-distance formula. You can take the speed of the car as a variable, use the information given in the question to get the appropriate equation, and solve that variable.
The speed of the car is

. The question states that a train can travel

faster than a car, so the speed of a train is given by:

.............. (1.1)
The question states that the distance traveled by both the train and the car from point A to point

Use the time-speed relationship to say this
Time taken Question Image

Therefore, the time it takes for the car to reach point B is:

................. (1.2)
However, the train takes 12.5 minutes to stop at the station.
Times in hours =

\frac{Time in minutes}{60}

Therefore, the loss of time is due to the train Time lost by train =

\frac{12.5}{60}

hours ……..(1.3)
Therefore, the time it takes for the train to reach point B (using equations 1.1 and 1.3) is:
tt= time lost by train Question Image

Question Image

........................ (1.4)
Trains and cars take the same amount of time, so (1.2) and (1.4) can be equal

\Rightarrow

Question Image

\Rightarrow

Question Image

\Rightarrow

Hence, 3 is the correct option.

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