Distance and time related questions in linear equations

More linear equations word problems! This lesson we are going to focus on solving questions related to distance and time.

1.
A plane took 4 hours to fly 2400 km with a tailwind. On the trip back flying into the same headwind the trip took 6 hours. Find the speed of the wind.

2.
Two planes have a cruising speed of 570 km/h without wind. The first plane flies for 12 hours against a constant headwind. The second plane flies for 10 hours in the opposite direction with the same wind (a tailwind). The second plane flies 370 km less than the first plane. Determine two equations that could be used to solve for the wind speed, w, and the distance travelled by the first plane, d.