A train travels 140 miles in the same time that a plane covers 532 miles. If the speed of the plane is 10 miles per hour less than 4 times the speed of the​ train, find both speeds.

Question

A train travels 140 miles in the same time that a plane covers 532 miles. If the speed of the plane is 10 miles per hour less than 4 times the speed of the​ train, find both speeds.

Answer 1

P=4T -10

d=rt, t=d/r time = distance divided by rate of speed

140/T = 532/(4T-10)

532T =560T- 1400

28T = 1400

T = 1400/28 = 50 mph for the train

P =4T -10 = 4(50)-10 = 190 mph for the plane

140/50 = 532/190

2.8 = 2.8