SOLUTION: On Monday Katie rode her motorcycle m miles in 8 hours. On the Tuesday, she rode 3 times as far in 11 hours. If her average speed for the two days was 52 mi/h, how far did she ride

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Question 690704: On Monday Katie rode her motorcycle m miles in 8 hours. On the Tuesday, she rode 3 times as far in 11 hours. If her average speed for the two days was 52 mi/h, how far did she ride on Monday?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Average speed is always ( total distance traveled ) / ( time to travel that distance )
+d%5B1%5D+=+m+
+d%5B2%5D+=+3m+
+52+=+%28+m+%2B+3m+%29+%2F+%28+8+%2B+11+%29+
+52+=+4m+%2F+19+
+4m+=+52%2A19+
+4m+=+988+
+m+=+247+
She rode 247 miles on Monday
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Note that the average speed for the 2 days
is NOT the average of the speeds for each day
For monday:
speed = +m%2F8+
For tuesday:
speed = +3m%2F11+
------------------
The average of these 2 speeds is
+%28++m%2F8++%2B+%28+3m%29%2F11%29++%2F+2+
+m%2F16+%2B+%283m%29%2F22+=+52+
Multiply both sides by +16%2A22+
+22m+%2B+48m+=+52%2A16%2A22+
+70m+=+18304+
+m+=+261.49+
You get a different answer which is the wrong answer