SOLUTION: A bicycle race covers a 75-mile training route to prepare for an upcoming race. If the racer could increase his average spees by 5 mph, he could complete the same course in 3/4 of

Question 589218: A bicycle race covers a 75-mile training route to prepare for an upcoming race. If the racer could increase his average spees by 5 mph, he could complete the same course in 3/4 of the time. Find his average speed.
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
A bicycle race covers a 75-mile training route to prepare for an upcoming race. If the racer could increase his average spees by 5 mph, he could complete the same course in 3/4 of the time. Find his average speed.
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Let s = the average speed
Let t = the time to complete the course
Then we can write
s = 75/t -> t = 75/s
s + 5 = 75/(3/4t) = 100/t
Eliminate t and solve for s:
s + 5 = 100/(75/s)
s + 5 = 4s/3
s = 15
So the average speed is s = 15 mph
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