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Josh has been running for 6 min and completes a lap in 7 min. Gabe has been running for 2 min and completes a lap in 9 min.
How many more laps must Josh and Gabe complete to have run the same amount of time?
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Josh's speed is 1 lap/7 min
Gabe's speed is 1 lap/9 min
Josh has covered 6/7 of a lap
Gabe has covered 2/9 of a lapthe answer is 2
So j completed 6/7 of a lap
gabe has completed 2/9 lap
1 j lap=7 mins s o
j=num of laps
1 g lap=9 mins so
g=num of laps
when will the times be equal
subtract 2 from both sides
divide both sides by 9
so to get a whole number of laps, we must subsitute a number when it is multiplied by 7 then add 4, we get a multiplue of 9
so if j=2
so josh and gabe must run 2 lap each because
6+(2 times 7)=2+(9 times 2)
the answer is 2 laps