Question

Two planes that are traveling toward each other are 720 miles apart. One plane is traveling 40 miles per hour faster than the other. The planes pass after 0.75 hours. How fast is each plane traveling?

Answer 1

y = 460 miles per hr

x = 500 miles per hr

Explanation:

Let the planes be X any

Let their speeds be xmiles/hr and ymiles/hr respectively

x = y + 40 (assuming X is faster by 40miles/hr)

Distance travelled by X to meet Y = 0.75x

Distance travelled by Y to meet X = 0.75y

0.75x + 0.75y = 720 --------1

Put x = y + 40 in eqn 1

0.75(y+40) + 0.75y = 720

0.75y + 30 + 0.75y= 720

1.5y = 690

y = 460 miles per hr

x = 460 +40

= 500 miles per hr