Question

A private jet flies the same distance in 13 hours that a commercial jet flies in 9 hours. If the speed of the commercial jet was 110mph less than 2 times the speed of the private jet, find the speed of each jet.

Answer 1

Commercial = 286 mph

Private = 198 mph

Explanation:

Given that:

Commercial flight time = 9 hours

Private jet time = 13 hours

Speed of commercial flight = 2(speed of private jet) - 110

Let

Speed of commercial flight = c

Speed of private flight = p

c = 2p - 110

Recall ;

Distance = speed * time

Hence,

p * 13 = (2p - 110) * 9

13p = 18p - 990

13p - 18p = - 990

-5p = - 990

p = 198 mph

From : c = 2p - 110

c = 2(198) - 110

c = 396 - 110

c = 286 mph