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
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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(52776) (Show Source):
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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.
