SOLUTION: Help please! Greg and Gary enter a bike race. Greg travels at 16 miles per hour, and Gary travels at 12 miles per hour. Greg finishes the race 2 hours ahead of Gary. How many mi

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Question 999174: Help please!
Greg and Gary enter a bike race. Greg travels at 16 miles per hour, and Gary travels at 12 miles per hour. Greg finishes the race 2 hours ahead of Gary. How many miles did Greg travel in the race?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Greg and Gary enter a bike race.
Greg travels at 16 miles per hour, and Gary travels at 12 miles per hour.
Greg finishes the race 2 hours ahead of Gary.
How many miles did Greg travel in the race?
:
let d = distance traveled by Greg, also the length of the race
:
We can say that Greg ran the race in 2 hrs less time that Gary
Write a time equation; time = dist/speed
Gary's time - Greg's time = 2 hrs
d%2F12 - d%2F16 = 2
Multiply the equation by the least common multiple; 48. Cancel the denominators
4d - 3d = 48(2)
d = 96 mi traveled by Greg
:
:
Confirm this solution; find the actual time of each
96/12 = 8 hrs
96/16 = 6 hrs
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differ: 2 hrs