SOLUTION: A cyclist traveled 60 mi at a constant rate before reducing the speed by 12 mph. Another 40 mi was traveled at the reduced speed. The total time for the 100-mile trip was 8 h. Find

Question 1058304: A cyclist traveled 60 mi at a constant rate before reducing the speed by 12 mph. Another 40 mi was traveled at the reduced speed. The total time for the 100-mile trip was 8 h. Find the rate during the first 60 mi.
Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
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A cyclist traveled 60 mi at a constant rate before reducing the speed by 12 mph. Another 40 mi was traveled at the reduced speed.
The total time for the 100-mile trip was 8 h. Find the rate during the first 60 mi.
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Setup is this equation

 = 8.


Here  is the time in hours to cover the distance of 60 km at the rate x .

 is the time to cover 40 km at the reduced speed (x-12) .

Setup is done. The rest is arithmetic.

To solve equation (1), multiply both sides by x*(x-12).
Then simplify and solve the quadratic equation.

Answer. x = 20 .

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