Question

Dylan and Ethan both leave the park at the same time, but in opposite directions. If Dylan travels 14 mph and Ethan travels 22 mph, how long until they are 324 miles apart?

Answer 1

9 hours

Explanation:

Dylan: r=14, t=t, and d= d

Ethan: r=22, t=t, and d=324-d

d = rt = t=d/r

Dylan: t=d/14 and Ethan: t= (324-d)/22

t = t

d/14 = (324-d)/22 (cross multiplication)

22d = (14)*(324-d)

22d = 4536 - 14d

22d + 14d = 4536

36d = 4536

d = 4536/36

d = 126 miles

Dylan: 126/14= 9 and

Ethan= (324-126)/22 = 9