SOLUTION: A bus​ averages 10 miles per hour faster than a motorcycle. If the bus travels 110 miles in the same time it takes the motorcycle​ to travel 88 miles, then what is the

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Question 1075844: A bus​ averages 10 miles per hour faster than a motorcycle. If the bus travels 110 miles in the same time it takes the motorcycle​ to travel 88 miles, then what is the speed of each?
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A bus averages 10 miles per hour faster than a motorcycle. If the bus travels 110 miles in the same time it takes the motorcycle to travel 88 miles, then what is the speed of each?
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B = bus speed
M = bike speed
-----
B*t = 110
M*t = 88
B = M + 10
===========
Sub for B
(M+10)*t = 110
M*t = 88
---
Mt + 10t = 110
Mt = 88
-------------------- Subtract
10t = 22
t = 2.2 hours
------
B*2.2 = 110
Bus = 50 mi/hr
M = 40 mi/hr
--------------------
I'd get a refund for the motorcycle.

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