Question 999174
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/12}}} - {{{d/16}}} = 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