College Math Help

Question

A bus traveled at an average rate of 60 miles per hour and then reduced its average rate to

30 miles per hour for the rest of the trip.

If the 441 mile trip took 8 ​hours, determine how long the bus traveled at each rate.

Time spent at 30mph

Time spent at 60mph

Answer 1

distance = rate x time. Total time is 8 hours, so if we drive at 60 mph for time t hours, we drive at 30 mph for 8-t hours. Total distance is 441 miles:

441 miles = (60 mph)(t) + (30 mph)(8 - t)

Solve for t.