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Question
If 32 men working 12 hours a day can do a work in 15 days, then how many men working 10 hours a day can do double that work in 24 days?
Solution
| Days (D) | Hours (H) | Men (P) |
| 15 | 12 | 32 |
| 25 | 10 | x |
Let
P1 = 32
P2 = x
H1 = 12
H2 = 10
D1 = 15
D2 = 24
W1 = 1
W2 = 1
Using formula, `("P"_1 xx "D"_1 xx "H"_1)/("W"_1)` = `("P"_2 xx "D"_2 xx "H"_2)/("W"_2)`
= `(32 xx 15 xx 12)/1` = `(x xx 24 xx 10)/1`
x = `(35 xx 15 xx 12)/(24 xx 10)`
x = `(8 xx 3 xx1)/(1 xx 1)`
x = 24 persons
To complete the same work 24 men needed.
To complete double the work 24 × 2 = 48 men are required.
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