SOLUTION: A jogger can bicycle 30 miles in the same time as he can jog 10 miles. If he can ride 10 miles per hour faster than he can jog, how fast can he jog?

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Question 653206: A jogger can bicycle 30 miles in the same time as he can jog 10 miles. If he can ride 10 miles per hour faster than he can jog, how fast can he jog?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = his speed jogging in mi/hr
+s+%2B+10+ = his speed on bicycle in mi/hr
Let +t+ = his time riding and jogging
His equation for jogging:
(1) +10+=+s%2At+
His equation on bicycle:
(2) +30+=+%28+s+%2B+10+%29%2At+
---------------------
(2) +30+=+s%2At+%2B+10t+
Substitute (1) into (2)
(2) +30+=+10+%2B+10t+
(2) +10t+=+20+
(2) +t+=2+
Plug this result back into (1) or (2)
(1) +10+=+s%2A2+
(1) +s+=+5+
He can jog 5 mi/hr
check:
(2) +30+=+%28+5+%2B+10+%29%2At+
(2) +30+=+15t+
(2) +t+=+2+
OK