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? (5 marks)

Answer 1

Days	Hours	Men
15	12	32
24	10	x

(1 mark)

Let
P₁ = 32
P₂ = x

H₁ = 12
H₂ = 10

D₁ = 15
D₂ = 24

W₁ = 1
W₂ = 1
(2 mark)

Now apply the formula method, (P₁×D₁×H₁)/W₁ =(P₂×D₂×H₂)/W₂ (1 mark)

⇒(31×15×12)/1=(x×24×10)/1

x=24
To complete the same work 24 men needed.
To complete double the work 24 × 2 = 48 men are required.
(1 mark)