Question

Airplane A travels 1400 km at a certain speed. Plane B travels 1000 km at a speed 50 km divided by h faster than plane A in 3 hrs less time. Find the speed of each plane.

Answer 1

speed of A = 200km/h

speed of B = 250km/h

Step-by-step explanation:

speed of A be x

we know that
`time = (distance)/(speed)`

`(1400)/(x) =(1000)/((x + 50)) + 3`

`1400(x + 50) = 1000x + 3(x^2 + 50x)`

`3x^2 - 250x - 70000 = 0`

x = 200 km/h

speed of A = 200km/h

hence

speed of B = 250km/h