Problema Solution
When Wayne Pourciau drives his car to work, the trip takes 30 minutes. When he rides the bus, it takes 45 minutes. The average speed of the bus is 12 miles per hour less than his speed when driving. Find the distance he travels to work.
Answer provided by our tutors
let 's' represent the speed of his car, then 's-12' represents the speed of the bus
distance = speed * time
30 minutes = 0.5 hours
45 minutes = 0.75 hours
he travels the same distance by car or bus so we set their 'speed*time' expressions equal to each other:
0.5s = 0.75(s-12)
solving for 's' we have s=36
so Wayne drives 36mph for 0.5 hours:
0.5*36 = 18
the distance driven is 18 miles