A train can travel 50 faster than a car Both start from point A at the same time and reach point B 7...........

Quantitative Aptitude ( CCS) Time & distance

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:

100 kmph

110 kmph

120 kmph

130 kmph

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Explanation:

speed of car : speed of train :100:150 = 2:3
time needed for car : time needed for train = 3:2
i.e., the train only takes 23 of the time taken by car.

Since both the car and train start and reach at the same time,
1313 of the time needed by car is 12.5 minutes.
Time needed by the car = 3×12.5 min = 3×12.5 min

Therefore, speed of the car =75 /(3×12.560) = 120 km/hr

Hence, option 3 is the correct answer.