A moving van leaves a house travelling 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 of 50 mi/h. How long will take the car to catch up with the moving van?

in 3/4 hour, the van has gone 3/4 * 35 = 26.25 miles

The car is going 15 mi/hr faster, so it will take
26.25/15 = 1.75 hours to catch up.