Question 904823
Times are equal

Apply conditions and equate

 diesel powered train speed = x

A modern jet plane can go 400 mph more than twice as fast as a diesel powered train.

speed = 2x+400

d/r train = d/r plane

165/x = 1210/(2x+400)

165(2x+400)=1210x

330x+66000=1210x

880x=66000
/880

x= 75 mph speed of train

speed of plane = (2x+4)

2*75+400
=150+400
550 mph
 IF the train can run 165 mi. in the same time that the plane can fly 1210mi., find the rate of each?