Question

A jet can travel 13,600 km total trips distance between New York and Paris the jet travels from New York to Paris. in six hours and 48 minutes with the wind the return trip against the same wind takes eight hours find the rate of the jet in still air and the rate of the wind

Answer 1

• jet: 975 km/h
• wind: 75 km/h

Explanation:

Given that a jet makes a round trip of 13600 km taking 6:48 hours with the wind and 8 hours against the wind, you want to know the speed of the jet in still air, and the speed of the wind.

Setup

Each leg of the trip is 13600/2 = 6800 km. The speed in each direction is ...

speed = distance/time

If j represents the jet speed and w represents the wind speed, we have ...

j + w = (6800 km)/(6.8 h)

j - w = (6800 km)/(8 h)

Solution

Adding the two equations gives ...

(j +w) +(j -w) = (1000 km/h) +(850 km/h)

2j = 1850 km/h

j = 925 km/h

Then the wind speed is ...

925 km/h + w = 1000 km/h

w = 75 km/h . . . . . . . subtract 925 km/h

The rate of the jet is 925 km/h; the rate of the wind is 75 km/h.