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: Option C
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
= (frac{50}{xhr})
time taken to cover a distance of 300 miles on the next trip
= (frac{300}{3xhr})
= (frac{100}{xhr})
∴the new time compared with the old time is twice as much
There is an explanation video available below.