Carcass wrote:
A family drove from home to a vacation destination 100 miles away, driving the first half of the distance at a constant speed of 50 miles per hour and the second half of the distance at a constant speed of 20 miles per hour. Returning home by the same route, they traveled at a constant speed of 30 miles per hour for the whole trip. What is the number of hours it took to drive from the vacation destination back home?
A. 2.5 hours
B. 3 hours
C. 3 1/3 hours
D. 3.5 hours
E. 4 hours
As you may have already concluded, the information about the speeds at which they drove TO the vacation destination is irrelevant.
All we need to know is that the drive home was a distance of
100 miles, and the family drove at a constant speed of
30 miles per hourtime = distance/speed=
100/
30 = 10/3 hours
= 3 1/3 hours
Answer: C