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Question

Mathematics Question on Time Speed and Distance

A car driver travels from the plains to the hill station, which are 200 km apart, at an average speed of 40 km/h. In the return trip, he covers the same distance at an average speed of 20 km/h. The average speed of the car over the entire distance of 400 km is

A

16.56 km/h

B

17.89 km/h

C

26.67 km/h

D

35 km/h

Answer

26.67 km/h

Explanation

Solution

Time duration when traveling at a speed of 40 km/h=20040\frac{200}{40}=5 hours
and time duration travelling at 20 km/h=20020=10\frac{200}{20}=10 hours
Total time=10+5=15  hours10+5=15\space hours
So, Average Speed = 40015=26.67  km/hr\frac{400}{15}=26.67\space km/hr
The correct option is (C): 26.67 km/h