Question 98

A train travels a distance of 60 km in 40 minutes. If its velocity is decreased by 15 km/hour, then the time required by that train to travel the same distance, in minutes, is

Solution

Distance = 60km

Time = 40 minutes = $$\frac{40}{60}$$ hour = $$\frac{2}{3}$$ Hour

Speed = $$\frac{Distance}{Time}$$

Speed = $$\frac{60}{\frac{2}{3}}$$ = $$\frac{(60)(3)}{2}$$ = 90 kmph

Reduced speed = 90-15 = 75 kmph

Distance = 60 km

Speed = $$\frac{Distance}{Speed}$$

Time = $$\frac{60}{75}$$ = $$\frac{4}{5}$$ hr.= 48 minutes.

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