Question

On the way to work Chad averaged 70 mph and on the return trip home he averaged 60 mph. It took Chad (1/4) of an hour longer to get home because of the heavier traffic. How far does Chad travel to work?*

Answer 1

The distance to work is R*T or 70t, where t is the time to get to work
The distance from work is R*T or 60(t+.25)
Since these distances are the same we may equate them:
70t=60(t+.25)
Now solve this for t. (cont)

Answer 2

70t=60t+15
10t=15
t=3/2=1.5
Now you have to sub this into one of the equations to get the distance:
distance = 70(1.5) = 105
or
distance = 60(1.5+.25) = 105

Answer 3

Holy Giabroni, 105 miles to work!