Question

Bob drove from home to work at 80mph, after work the traffic was heavier, and he drove home at 25 mph. his driving time to and from work was 1 hour and 3 minutes. how far does he live from his job

Answer 1

To work DATA:
rate = 80 mph ; distance = x miles ; time = d/r = x/80 hrs
To home DATA:
rate = 25 mph ; distance = x miles ; time = x/25 hrs
Equation:
time(to work) + time(to home) = time (total)
x/80 + x/25 = 63/60
60*25x + 60*80x = 63*80*25
1500x + 4800x = 126000
63000x = 126000
x = 126/63
x = 2 miles