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5 men complete a work in 10 days while 10 women can complete the same work in 10 days while 25 boys complete the same work in 8 days, If 1 man, 2 women and 2 boy work altogether, then whole work complete in:

5 men complete a work in 10 days while 10 women can complete the same work in 10 days while 25 boys complete the same work in 8 days, If 1 man, 2 women and 2 boy work altogether, then whole work complete in: Correct Answer 20 days

Given,

5 men complete a work in 10 days

10 women complete the same work 10 days

25 boys can complete the same work in 8 days

Formula:

Total work = Efficiency × Time taken

Calculation:

Let efficiency of 1 man, 1 woman and 1 boy be x, y and z respectively, then

According to the question

5x × 10 = 10y × 10

⇒ x = 2y

⇒ x : y = 2 : 1      ----(1) × 2

Also, 10y × 10 = 25z × 8

⇒ 100y = 200z

⇒ y = 2z

⇒ y : z = 2 : 1      ----(2)

From equation (1) and equation (2)

⇒ x : y : z = 4 : 2 : 1

Total work = 5 × 4 × 10 = 200 units

Work done by 1 man, 2 women and 2 boys in 1 day = 1 × 4 + 2 × 2 + 2 × 1 = 4 + 4 + 2 = 10 units/day

∴ 1 man, 2 women and 2 boys complete the work in = 200/10 = 20 days

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