Answer the Following:

Question

Claudine traveled a total of 4 hours and 875 miles by car and by plane. Driving to the airport by car, she averaged 50 miles per hour. In the air, the plane averaged 320 miles per hour. How long did it take her to drive to the airport?

Answer 1

1 1/2 hours to drive to the airport

distance = rate of speed times time

320P + 50(4-P) = 875

320P -50P = 875 -200

270P = 675

P = 675/270 = 2.5 hours by plane

4-P = 4-2.5 = 1.5 hours driving to the airport

Answer 2

50t + 320(4-t) = 875

50t + 1280 - 320t = 875

-270t = -405

t = 405/270 = 1.5

1.5*50 + 2.5 * 320 = 75 + 800 = 875

1 and 1/2 hours by car, 2 and 1/2 hours by plane