Question

36 People working 7 hours every day can
finish a work in 32 days. How many people
will be required to finish the work in 24 Days
working 6 hours per day?
(A) 64
(B) 56
(C) 49
(D) 27​

Answer 1

The "option (B ) 56 People" working 6 hours every day can

finish a work in 24 days.

Step-by-step explanation:

Let the required number of days be x.

∴ 36 × 7 × 32 = 24 × 6 × x

⇒ 3 × 7 × 32 = 2 × 6 × x

⇒  7 × 8 =  x

∴ x = 56  , Option (B)

Hence, "option (B ) 56 People" working 6 hours every day can

finish a work in 24 days.

Answer 2

There are 56 people required to finish the work in 24 days.

Step-by-step explanation:

• Let's assume that x people will be required to finish the work in 24 days.

• We know that work efficiency remains constant (chain rule).

Work efficiency = $\dfrac{W}{(Work Force) \times T}$

• Where; W = work done

• Work force =$people \times hours$

• T = time

Now, according to chain rule, we can equate as,

• $\dfrac{W}{(Work force)_1 \times T}$ =  $\dfrac{W}{(Work force )_2 \times T}$

Since, work is same. So, W = W

• $\dfrac{W}{(36 \times 7) \times 32}$ =  $\dfrac{W}{(x \times 6) \times 24}$

              $x \times 6 \times 24 = 36 \times 7 \times 32$

• By solving it we get x = 56 people

Thus, 56 people are required to finish the work in 24 days.