SOLUTION: A women can bicycle 22 miles in the same time as it takes her to walk 8 miles. She can ride 7mph faster than she can walk. How fast can she walk

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Question 997170: A women can bicycle 22 miles in the same time as it takes her to walk 8 miles. She can ride 7mph faster than she can walk. How fast can she walk
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = her speed walking in mi/hr
+s+%2B+7+ = her speed biking in mi/hr
Let +t+ = her time either biking or walking in hrs
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Equation for biking:
(1) +22+=+%28+s+%2B+7+%29%2At+
Equation for walking:
(2) +8+=+s%2At+
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(2) +t+=+8%2Fs+
Substitute (1) ionto (2)
(1) +22+=+%28+s+%2B+7+%29%2A%288%2Fs%29+
(1) +22+=+8+%2B+56%2Fs+
(1) +14+=+56%2Fs+
(1) +s+=+56%2F14+
(1) +s+=+4+
She can walk 4 mi/hr
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check:
(2) +t+=+8%2Fs+
(2) +t+=+2+
and
(1) +22+=+%28+s+%2B+7+%29%2At+
(1) +22+=+%28+4+%2B+7+%29%2At+
(1) +22+=+11t+
(1) +t+=+2+
OK