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