SOLUTION: A moving van leaves the house traveling at an average rate of 35 mi/h. The family leaves the house 3/4 hour later following the same route in a car. They travel at an average rat

Question 156507: A moving van leaves the house traveling at an average rate of 35 mi/h. The family leaves the house 3/4 hour later following the same route in a car. They travel at an average rate of 50 mi/h.
a. write an expression for the time traveled by the car.
b. copy and complete this table:
moving van - rate: _____ time:_____ distance traveled: _____
car rate: _____ time:_____ distance traveled: _____
c. write and solve an equation to find out how long it will take the car to catch up with the moving van.
Answer by josmiceli(6786) (Show Source):
You can put this solution on YOUR website!
moving van - rate: 35 mi/hr time: t hr distance traveled: 35t mi
car - rate: 50 mi/hr time: (t - .75) hr dist traveled: 50*(t - .75)mi
When they meet, the distance each has travelled will be the same

hr (note: this is the time expired from when
the van left until it meets the car)
hr This is the time expired from when the car left
until it meets the van
So, the car will catch up with the van in 1 hr and 45 minutes
check:

mi
and

mi
OK