Question 60

A train can travel 40% faster then a car.Both the train and the car start from point A at the same time and reach point B, which is 70km away point from A,at the same time.On the way, however,the train lost about 15 minutes while stopping at stations. The speed of the car in km/h is:

Solution

let the speed of car be x.

then the speed of train = $$x\left(1+\frac{40}{100}\right)=1.4x$$

Time taken by car to cover 70km = $$\frac{70}{x}$$

Time taken by train to cover 70km = $$\frac{70}{1.4x}=\frac{50}{x}$$

According to question,

$$\therefore\ \frac{70}{x}-\frac{50}{x}=\frac{15}{60}$$

$$\therefore\ \frac{20}{x}=\frac{1}{4}$$

so, Speed of car = x = 80 km/hr

Hence, Option B is correct

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