Julie and Paul head out from their school traveling in opposite directions. Paul drives 30 mi/hr faster than Julie. After 3 hours, they are 240 miles apart.

Question

What is the rate, time, and distance of each person. Also what is their individual rates per hour in mph.

Answer 1

P=J+30

3P + 3J = 240

3(J+30) + 3J = 240

6J +90 = 240

6J = 150

J = 150/6 = 25mph

P = 30+25 = 55mph

after 3 hours Julie is 3x25 = 75 miles from school

after 3 hours Paul is 3x55 = 165 miles from school