You fly to a place X in a Boeing at a speed of 500 miles/hour and come back from X, following the same route, at a speed of 160 miles/ hour. What is the average speed for to-and-fro journey?
Answers
Given : You fly to a place X in a Boeing at a speed of 500 miles/hour and come back from X, following the same route, at a speed of 160 miles/ hour.
To Find : What is the average speed for to-and-fro journey
Solution:
Let say Distance = one side 800D Miles
Total Distance to and fro = 800D + 800D = 1600D Miles
Speed one side = 500 miles /hr
Time taken = 800D/500 = 1.6D hr
Speed in return side =160 miles /hr
Time taken = 800D/160 = 5D hr
Total Time taken = 1.6D + 5D = 6.6D hrs
Average Speed = 1600D/6.6D
= 242.42 miles/hr
Average speed for to-and-fro journey 242.42 miles/hr
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