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If 25 people, working 15 hours a day, can complete 5 units of work in 8 days, then how many days will be required by 12 people to complete 10 units of
Question

If 25 people, working 15 hours a day, can complete 5 units of work in 8 days, then how many days will be required by 12 people to complete 10 units of work, working 20 hours a day?

A.

25 days

B.

24 days

C.

20 days

D.

22 days

Correct option is A

Given:

25 people, working 15 hours a day, can complete 5 units of work in 8 day

Formula Used:

Work done = Number of workers ×\times​ Hours per day ×\times​ Time

Solution:

Total Work = 25×15×8=3000personhours25 \times 15 \times 8 = 3000 person-hours​​

Work per unit =Total WorkNumber of units \frac{Total\ Work}{Number\ of\ units}​​

=30005= \frac{3000}{5} = 600person-hours per unit

Work required for 10units

Total work for 10 units =Work per unit ×\times​ Number of units

= 600 ×\times​ 10 = 6000 person-hours

Daily work capacity of 12 person =12×20 12 \times 20​ = 240hours per day

Number of days required = Total WorkDaily Work Capacity\frac{Total\ Work}{Daily\ Work\ Capacity}​​

=6000240=25days = \frac{6000}{240} = 25days​​

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