Question 717836: How long will it take 10 painters to paint a school if 6 painters take 15 days to paint the school Found 2 solutions by stanbon, Edwin McCravy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! time and # of painters are inversely related:
t = k/p
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Solve for "k" using " 6 painters take 15 days to paint the school"
15 = k/6
k = 90
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Equation:
t = 90/p
How long will it take 10 painters to paint a school.??
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t = 90/10
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time = 9 days
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Cheers,
Stan H.
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You can use:
Painters times days (in one situation) = Painters times days (in the other situation).
10x = 6·13
10x = 90
Divide both sides by 10
=
x = 9
Or you can think it out this way:
The least common multiple of 6 painters and 10 painters
is 30 painters.
Since 6 painters take 15 days to paint the school,
30 painters could paint the school in only 3 days.
That's because 30 is 5 times as many painters and
so they could finish in 1/5th of the time, and
1/5th of 15 days is 3 days.
10 painters is only 1/3 as many painters as 30 painters,
so it would take them 3 times as long as it would take
30 painters, and 3×3 is 9, so it would take them 9 hours.
Edwin
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