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Question

# A bus covers 10 miles at an average speed of 60 mi/h. If it covers the first 3 miles at 60 mi/h and the next 5 miles at 50 mi/h, at what speed does it cover the remaining 2 miles?

A
60 mi/h
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B
80 mi/h
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C
100 mi/h
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D
120 mi/h
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Solution

## The correct option is D 120 mi/hExamining each stretch of the journey, we find: Stretch A:Distance=3 miles; Speed=60 mi/h Time taken to cover stretch A=DistanceSpeed=360=120 hours Stretch B:Distance=5 miles; Speed=50 mi/h Time taken to cover stretch A=DistanceSpeed=550=110 hours Stretch C:Distance=2 miles; Speed=′S′ mi/h Time taken to cover stretch A=DistanceSpeed=2S hours Average speed=Total distanceTotal time ⟹60 mi/h=10 miles120+110+2S Multiplying both sides of the equation by the denominator, we get: 6020 mi+6010 mi+120S mi=10 mi ⟹3+6+120S=10 ⟹120S=10–9=1 ⟹S=120 mi/h

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