A car traveled 65% of the way from Town A to Town B at an average speed of 65 mph.

A car traveled 65% of the way from Town A to Town B at an average speed of 65 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph?

Quiz

Answer/Solution

35

Steps/Work

Assume total distance = 100miles
Time taken for 65 miles = 65/65 = 1 hour
Time taken for the rest of the 35 miles = 35/v hours.
Average speed = 50
Therefore the total time needed = 2 hours.
2 = 1 + 35/v
Hence v = 35 mph
Correct Option: E