Q:

It took a plane 3 hours to travel 2100 miles with a tail wind. It took the plane 7 hours to make the return trip against the wind. How fast was the plane traveling? And how strong was the wind blowing?

Accepted Solution

A:
Answer: the speed of the plane is 300 miles per hourThe strength of the tail wind is 400 miles per hour Step-by-step explanation:A tail wind travels in the direction of the airplane. It took the plane 3 hours to travel 2100 miles with a tail wind.Speed = distance / timeThe speed of the airplane while travelling with the tail wind is 2100/3 = 700 miles per hour.It took the plane 7 hours to make the return trip against the wind. This means that the plane travelled the same distance of 2100 miles back in 7 hours.The speed of the plane while travelling back would be 2100/7 = 300 miles per hourThe speed of the wind would be the speed while it was flying with the tail wind - the speed when it was flying against the tail wind . it becomes700-300 = 400 miles per hour