Question

Patch traveled from his office to the seashore at a speed of 62 mph. He traveled the same route on his way back to the office, but on the return trip his speed was 66 mph. If, altogether, Patch spent a total of 4 hours on the road, how many hours did the trip to the seashore take? Round your answer to the nearest hundredth (two decimal places)

Answer 1

1.03 hours

Explanation:

Let x be the time taken to travel from office to seashore at 62mph

Distance traveled = speed x time = 62x miles

Since both trips together took 2 hours, the time taken for the same distance from seashore to office = 2 - x hours

At a speed of 66 mph, the distance traveled = 66(2-x) = 132 - 66x

Since the distances on each trip are equal:
62x = 132 - 66x

Add 66x to both sides => 62x + 66x = 132 =-66x + 66x

128x = 132

x = 132/128 = 1.03125 hours = 1.03 hours rounded to 2 decimal places