An airplane flying at a speed of about 100 mph was once overtaken and passed by a flock of sandpipers! Suppose that a flock of these birds can fly at 110 miles per hour with a certain wind and at 90 mph against it. If they fly a certain distance with the wind and the same distance against it, how far can they fly in all if the trip takes two hours?

Question

An airplane flying at a speed of about 100 mph was once overtaken and passed by a flock of sandpipers! Suppose that a flock of these birds can fly at 110 miles per hour with a certain wind and at 90 mph against it. If they fly a certain distance with the wind and the same distance against it, how far can they fly in all if the trip takes two hours?
a) If x represents the time that the flock spends flying with the wind, how much time does it spend flying against it.
b) Draw a diagram showing the distance flown with the wind and the distance returning against it. 
c) Use the information in your diagram to write and equation.
d)solve the equation for x.
e) How far can the flock fly altogether?