An algebra problem by Tammu Triveni

Algebra Level 2

24 men working 8 hrs a day can finish a work in 10 days. working at a rate of 10 hrs a day, the number of men required to finish the work in 6 days is?

24 28 32 30

Tammu Triveni by Tammu Triveni , 26, India

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2 solutions

Hanif Robbani
Aug 6, 2014

total work = 24 men * 8 hrs * 10 days

the same amount of work can be done by :

m m men * 10 hrs * 6 days

⇒ m ∗ 10 ∗ 6 = 24 ∗ 8 ∗ 10 \Rightarrow m * 10 * 6 = 24 * 8 * 10

⇒ m = 4 ∗ 8 = 32 \Rightarrow m = 4*8 = \boxed{32}

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George Chen
Aug 2, 2014

The total work can be expressed as 24x8x10 =1920, then 1920/10/6=32 men.

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