Shelly hopped onto her bicycle and pedaled to the park at 14 miles per hour. Then she whizzed back at 20 miles per hour. If the total trip took 3 2/5 hours how far was it to the park?

Answer 1

3 and 2/5 hours = 17/5 hours

D = 14 * t

D = 20 * (17/5 - t)

14t = 20( 17/5 - t)

14t = 68 - 20t

34t = 68

t = 2

14 mph * 2 hours = 28 miles

20 mph * (17/5 - 2) hours = 20 mph * (17/5 - 10/5) hours = 20 mph * 7/5 hours = 28 miles

the distance is 28 miles