Question 33

Travelling at 60 km/h, a person reaches his destination in a certain time. He covers 60% of his journey in $$\frac{2}{5}th$$ of the time. At what speed (in km/h) should he travel to cover the remaining journey so that he reaches the destination right on time?

Let the distance be 60 km and time taken to cover the distance be 1 hr.
Remaining distance = 40% of the total distance = 60 $$\times \frac{40}{100}$$ = 24 km
Remaining time = 1 - 2/5 = 3/5 hr
Speed = distance/time = $$\frac{24}{3/5} = 40 km/hr$$

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