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?

Answer 1

$\textbf {Hey there, here is the solution.}$

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

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Number of men is directly proportional to the number of sharks caught

(more men, more sharks)

Find 1 man:

1 man can (200 ÷ 40) sharks in 20 days working 6 hours a day

1 man can 5 sharks in 20 days working 6 hours a day

Find 25 men:

25 men can (25 x 5) sharks in 20 days working 6 hours a day

25 men can 125 sharks in 20 days working 6 hours a day

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Number of days is directly proportional to the number of sharks caught

(more days, more shark)

Find 1 shark:

25 men can 1 sharks in (20 ÷ 125) days working 6 hours a day.

25 men can 1 sharks in 0.16 days working 6 hours a day.

Find 300 sharks:

25 men can catch 300 sharks in (0.16 x 300) days working 6 hours a day.

25 men can catch 300 sharks in 48 days working 6 hours a day.

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Number of hours a day is inversely proportional to the number of days

(less hours, more days)

Find 1 hour a day:

25 men can catch 300 sharks in (48 x 6) days working 1 hours a day.

25 men can catch 300 sharks in 288 days working 1 hours a day.

Find 4 hours a day:

25 men can catch 300 sharks in (288 ÷ 4) days working 4 hours a day.

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

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Answer: They need 72 days.

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⭐$\textbf {Cheers}$⭐

Answer 2

Step-by-step explanation:

40 boys can catch 200 dogs in 20 days working 6 hours a day. In how many days 25 boys can catch 300 dogs working 4 hours a day?