### A man covered a distance of 50 miles on his first trip, on a later...

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
##### 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.