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Question

A person drives his car for 3 hours at a speed of 40 km/hr and for 4.5 hours at a speed of 60 km/hr. At the end of it, he finds that he was covered 35 of the total distance. What is the uniform speed with which he should further drive to cover the remaining distance in 4 hours?

A
35 km/hr
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B
20 km/hr
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C
65 km/hr
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D
50 km/hr
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Solution

The correct option is D 65 km/hrLet the total distance of the journey be D km. Then,Distance covered by the person = (3×40+4.5×60)km=120km+270km=390km.Given, 35×D=390⇒D=390×53=650kmRemaining distance =650km−390km=260km∴Requireduniformspeed=2604=65km/hr.

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