SOLUTION: While riding a bicycle one afternoon, Pete discovered that he could travel 15 miles while riding with a 6 mile per hour tailwind in the same amount of time that it took to travel 9

Question 1007320: While riding a bicycle one afternoon, Pete discovered that he could travel 15 miles while riding with a 6 mile per hour tailwind in the same amount of time that it took to travel 9 miles into the same wind. At what rate could Pete ride with no wind at all?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = his speed with no wind
= his speed riding with the wind
= his speed riding into the wind
Let = his time in hrs riding both ways
-------------------------------------
Riding with the wind:
(1)
Riding against the wind:
(2)
--------------------
(1)
Substitute this result into (2)
(2)
Multiply both sides by
(2)
(2)
(2)
(2)
His speed with no wind is 24 mi/hr
----------------
check:
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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