passpadi

2017

Mathematics

JAMB

A man covered a distance of 50 miles on his first trip, on a later trip he traveled 300 miles while going 3 times as fast. His new time compared with the old distance was?

A.

three times as much

B.

the same

C.

twice as much

D.

half as much

Correct Answer: twice as much

Explanation

Let the speed of the 1st trip be x miles/hr and the speed of the 2nd trip be 3x miles/hr Speed = distance/time ∴ Time taken to cover a distance of 50 miles on the 1st trip = 50/xhr time taken to cover a distance of 300 miles on the next trip = 300/3xhr = 100/xhr ∴the new time compared with the old time is twice as much

Let the speed of the 1st trip be x miles/hr and the speed of the 2nd trip be 3x miles/hr Speed = distance/time ∴ Time taken to cover a distance of 50 miles on the 1st trip = 50/xhr time taken to cover a distance of 300 miles on the next trip = 300/3xhr = 100/xhr ∴the new time compared with the old time is twice as much
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