+1 vote
in JEE by kratos

The distance by road between two towns A and B is 216 km, and by rail it is 208 km. A car travels at a speed of x km/hr and the train travels at a speed which is 16 km/hr faster than the car. Calculate:

(i) the time taken by the car to reach town B from A, in terms of x;

(ii) the time taken by the train, to reach town B from A, in terms of x.

(iii) If the train takes 2 hours less than than the car, to reach town B, obtain an equation in x, and solve it.

(iv) hence, find the speed of the train. [1998].

1 Answer

+2 votes
by kratos
 
Best answer

Speed of car = x km/hr

Speed of train = (x + 16) km/hr

(i) we know: Time = distance/speed

Time taken by the car to reach town B from A = 216/x hrs

(ii) Time taken by the train to reach town B from A = 208/(x+16) hrs

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