dharam44 wrote:
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:
A. 100 kmph
B. 110 kmph
C. 120 kmph
D. 130 kmph
E. 230 kmph
Let speed of car is v
Speed of train is 50% more than the car = 1.5 * v
Distance traveled by both of them is 75km each.
Since both start at the same time and reach at the same time so time taken by both of them will be same.
Time take by Car = time taken by train
75/v = 75/1.5v + 12.5 (as train stopped in between for 12.5mins) (calculating speed in km/min)
75/v - 75/1.5v = 12.5
75/v ( 1 - 1/1.5) = 12.5
75/v ( (1.5-1)/1.5) = 12.5
75/v * 0.5/1.5 = 12.5
75/v = 12.5 * 1.5/0.5
75/v = 12.5*3 = 37.5
v = 75/37.5 = 2 km/min
= 2*60 km/hr (as 1min = 1/60 hr)
= 120 km/hr
So, answer is C
Hope it helps!
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