Question

. 40 men can catch 200 sharks in 20 days working 6 hours a day. In how many days 25 men can catch 300 sharks working 4 hours a day? a. 30 B. 24
C. 34
D. 20

Answer 1

25 men can catch 300 sharks in 72 days working 4 hours a day .

Step-by-step explanation:

Given as :

40 men can catch 200 sharks in 20 days working 6 hours a day .

Let 25 men can catch 300 sharks in x days working 4 hours a day

According to question

$\dfrac{men\times days\times hour}{work}$  = constant

Or, $\dfrac{M_1\times D_1\times H_1}{W_1}$  = $\dfrac{M_2\times D_2\times H_2}{W_2}$

Or, $\dfrac{40\times 20\times 6}{200}$ = $\dfrac{25\times x\times 4}{300}$

Solving the numerator denominator both side

i.e 24 = $\dfrac{x}{3}$

∴     x = 24 × 3

Or,  x = 72

So, 25 men can catch 300 sharks in 72 days working 4 hours a day

Hence, 25 men can catch 300 sharks in 72 days working 4 hours a day . Answer

Answer 2

72 days.

Step-by-step explanation:

Given that, 40 men can catch 200 sharks in 20 days working 6 hours a day.

So, 40 men can catch 200 sharks working (20 × 6) = 120 hours.

Then, 1 man can catch 200 sharks working (120 × 40) = 4800 hours.

Or, 1 man can catch 1 shark working (4800 ÷ 200) = 24 hours.

Or, 25 men can catch 300 sharks working (24 × 300) ÷ 25 = 288 hours.

Therefore, if 25 men work 4 hours a day, then the number of days required to catch 300 sharks in (288 ÷ 4) = 72 days. (Answer)