Carcass wrote:
A car traveled 60 mph from Belnap to Lincoln and 50 mph from Lincoln to Belnap. If the whole trip was 660 miles, how long did the round trip take?
A. 6 hours
B. 11 hours
C. 12.1 hours
D. 13.2 hours
E. 24.2 hours
Here's a quick solution.
Let's see what happens if the car traveled at the SAME SPEED for the entire 660 miles.
Time = distance/speed
IF the car traveled 60 mph for the entire 660 miles, then...
Travel time = 660/60 = 11 hours
Since the car traveled at a SLOWER speed of 50 mph for half of the trip, we can conclude that
the entire trip took longer than 11 hours to completeELIMINATE A and B
IF the car traveled 50 mph for the entire 660 miles, then...
Travel time = 660/50 = 66/5 = 13.2 hours
Since the car traveled at a FASTER speed of 60 mph for half of the trip, we can conclude that
the entire trip took less than 13.2 hours to completeELIMINATE D and E
By the process of elimination, the correct answer must be C