When Amy drives her car to work, the trip takes 1/2 hour. When she rides the bus, it takes 3/4 hour. The average speed of the bus is 12 mph less than her speed driving. Find the distance she travels to work.

Answer 1

Let D be the distance to work.

D=Drivespeed*1/2

D=Busspeed*.75

so Bus*.75=Drivespeed*1/2
but bus=drivspeed-12

drivspeed*1/2=(.75)(drivspeed-12)
solve for drivespeed, then
distance=drivspeed*1/2