Question 34

To cover a distance of 416 km, a train A takes $$2\frac{2}{3}$$ hours more than train B. If the speed of A is doubled, it would take $$1\frac{1}{3}$$ hours less than B, What is the speed (in km/h) of train A?

Solution

Ratio of the speed = 1 : 2
Ratio of the time = 2 : 1
Difference in time = $$2\frac{2}{3} + 1\frac{1}{3} = \frac{8}{3} + \frac{4}{3} = 12$
1 unit = 4
2 unit = 8
Time for A = 8 hr
Speed of train A = 416/8 = 52 km/hr


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