pzazz12 wrote:Three friends-whose walking rates are 1 ft./sec., 3ft./sec.,and 6ft./sec. start together walking in the same direction around a circular track that is 300 feet in circumference.After how many minutes are the three of them together again?
A. 5 mins
B. 10 mins
C. 15 mins
D. 3 mins
E. 7 mins
help me to solve it......
Rates per minute for the 3 friends:
60*1 = 60ft/min
60*3 = 180ft/min
60*6 = 360ft/min.
Now we can plug in the answers, which represent the time spent traveling around the track. We should start with the smallest answer choice.
Answer choice D:
60*3 = 180 ft.
180*3 = 540 feet = 1 lap + 240 ft.
Doesn't work.
Answer choice A:
60*5 = 300 ft = 1 lap
180*5 = 900 ft. = 3 laps
360*5 = 1800 ft. = 6 laps
Success!
The correct answer is A.
I think that plugging in the answers is just as quick as -- if not quicker than -- coming up with an equation that we would then have to solve.
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