SOLUTION: Last month, Jacob traveled from Miami to New Orleans by train and made two stops along the way. The average speed for the three legs of his trip is defined as v1, v2, v3 respective

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Last month, Jacob traveled from Miami to New Orleans by train and made two stops along the way. The average speed for the three legs of his trip is defined as v1, v2, v3 respective      Log On


   



Question 465920: Last month, Jacob traveled from Miami to New Orleans by train and made two stops along the way. The average speed for the three legs of his trip is defined as v1, v2, v3 respectively. The average speed for the entire trip is given by
3
____________
1---1---1
__ + ___ + __
v1----v2----v3
a. Simplify the complex fraction.
b. Find the average speed for the entire trip when v1 = 101mph, v2 = 71mph,
v3 = 106mph. Round to the nearest mph.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!

The quantity itself is called the harmonic mean of the rates.
%28101%2A71%2A106%29%2F%2871%2A106+%2B+101%2A106+%2B+101%2A71%29+=+760126%2F25403+=+29.92 mph, to two decimal places.