SOLUTION: Thane can skate at an average speed that is six times as fast as his average walking speed. It takes him 48 minutes more to travel 36 blocks on foot than on his skates. How fast is

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Question 1076991: Thane can skate at an average speed that is six times as fast as his average walking speed. It takes him 48 minutes more to travel 36 blocks on foot than on his skates. How fast is his average speed on skates in blocks per minute? Round your answer to two decimal places.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +s+ = his average walking speed in blocks/mi
+6s+ = his average speed skating in blocks/min
Let +t+ = time in minutes for him to travel
+36+ blocks skating
+t+%2B+48+ = times in minutes for him to travel
+36+ blocks on foot
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Equation for walking:
(1) +36+=+s%2A%28+t+%2B+48+%29+
Equation for skating:
(2) +36+=+6s%2At+
------------------------
(2) +t+=+6%2Fs+
Plug (2) into (1)
(1) +36+=+s%2A%28+6%2Fs+%2B+48+%29+
(1) +36+=+6+%2B+48s+
(1) +48s+=+30+
(1) +s+=+5%2F8+
and
+6s+=+6%2A%285%2F8%29+
+6s+=+3.75+
His average speed on skates was 3.75 blocks/min
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check:
(1) +36+=+s%2A%28+t+%2B+48+%29+
(1) +36+=+%285%2F8%29%2A%28+t+%2B+48+%29+
(1) +288+=+5%2A%28+t+%2B+48+%29+
(1) +57.6+=+t+%2B+48+
(1) +t+=+9.6+ min
and
(2) +36+=+6s%2At+
(2) +36+=+3.75%2At+
(2) +t+=+9.6+ min
OK