A bus travels 387 miles in 5 hours One hour of the trip was

A bus travels 387 miles in 5 hours. One hour of the trip was in city traffic. The bus\'s city speed was just half of its speed on the open highway. The rest of the trip was on the open highway. Find the bus\'s city speed,highway speed, city distance, and highway distance?

Solution

City Data:
rate=x;time=1 hr.; distance =(rate)(time)=x miles
Hyway Ddata:
rate=2x; time=4 hrs.; distance = (rate)(time)=8x
EQUATION:
distance + distance = 387 miles
x+8x=387
9x=387
x=43 mph of city driving; will cover 43 miles in one hour
2x=86 mph of hyway driving; will cover 4(86)=344 miles in four hours