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?

Question

Mathematics

Guest

29 April, 03:12

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?

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Answers (1)

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Franklin · Answer 1

Answer: the speed of the plane is 300 miles per hour

The 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 / time

The 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 hour

The 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 becomes

700-300 = 400 miles per hour