Question

# Tara while driving to school computes the average speed for her trip to be 20 km/h. On her return trip along the same route, there is less traffic and the average speed is 40 km/h. What is the average speed for Tara's trip?

A

27.7 km/h

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B

24.7 km/h

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C

26.7 km/h

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D

25.7 km/h

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Solution

## The correct option is C 26.7 km/h Let s be the distance between Tara's home and school. Let t1 be the time in hours taken for going to school and t2 for returning back home. So, t1 = sv1 = s20 h and t2 = sv2 = s40 h Total time taken, T = t1 + t2 = s20 h + s40 h = 3s40 Total distance = s + s = 2s Hence, average speed = Total DistanceTotal Time = 2s(3s40) = 26.7 km/h

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