SOLUTION: If a motorcycle driver travels 40 miles at m miles per hour and then 50 miles at m + 10 miles per hour, find the average speed.

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Question 300788: If a motorcycle driver travels 40 miles at m miles per hour and then 50 miles at m + 10 miles per hour, find the average speed.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance
m%2At1=40
%28m%2B10%29%2At2=50
Total distance traveled=40%2B50=90
Total time taken to travel=t1%2Bt2=40%2Fm%2B50%2F%28m%2B10%29=%2840%28m%2B10%29%2B50%28m%29%29%2F%28m%28m%2B10%29%29
t1%2Bt2=%2840m%2B400%2B50m%29%2F%28m%28m%2B10%29%29
t1%2Bt2=%2890m%2B400%29%2F%28m%28m%2B10%29%29
Average Speed=Total Distance/Total Time
Average Speed=90%2F%28%2890m%2B400%29%2F%28m%28m%2B1%29%29%29
Average Speed=90m%28m%2B10%29%2F%2890m%2B400%29