Together they cleaned the pool in 3 hours, 25 minutes, and 43 seconds.
We have given,
1 pool cleaned=8 hour
x=1 hour
x=(1 pool cleaned 1 hour) / 8 hour=1/8 portion cleaned.
2) we calculate the portion of the pool cleaned by Chao in an hour.
1 pool cleaned= hour
x=1 hour
x=(1 pool cleaned 1 hour) / 6 hour=1/6 portion cleaned.
3) we can suggest this equation:
x=number of hour
x(1/8+1/6)=1
What is the formula for 1 pool cleaned?
(number of hours)(a portion of pool cleaned by Anita in an hour + portion of pool cleaned by Chao in an hour)=1 pool cleaned.
4) we solve this equation:
x(1/8 + 1/6 )=1
1/8+1/6=(3+4)/24=7/24
least common multiple (8,6)=24
x(7/24)=1
x=(124)/7
x=24/7≈3.43 (3 hours, 25 minutes, 43 seconds)
Together they cleaned the pool in 3 hours, 25 minutes, and 43 seconds.
To learn more about the least common multiple visits:
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