Question

8 Man can finish a piece of work in 15 hours. in how many hours can 20 men finish.​

Answer 1

Answer:

they might be taking 6 hours

Answer 2

SOLUTION:

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ANSWER:

• 37.5 hours.

GIVEN:

• 8 man = 15 hours.

TO FIND:

• 20 men = how many hours?

SOLUTION:

Let the hours in which 20 men can finish be x.

FORMULA TO FIND:

$\boxed{\mathbb\pink{PRODUCT \: OF \: MEANS = PRODUCT \: OF \: EXTREMES }}$

SOLVING BY APPLYING THE FORMULA:

$\rightarrow \sf 8:15::20:x$

$\rightarrow \sf 8 \times x = 15 \times 20$

$\rightarrow \sf x = \dfrac{ 15 \times 20}{8}$

$\rightarrow \sf x = \dfrac{ 15 \times 10}{4}$

$\rightarrow \sf x = \dfrac{ 15 \times 5}{2}$

$\rightarrow \sf x = \dfrac{ 15 \times 5}{2}$

$\rightarrow \sf x = \dfrac{ 75 }{2}$

$\rightarrow \sf x = \dfrac{ 75 }{2}$

$\rightarrow \boxed{ \sf \pink{ x = 37.5 \: hours.}}$

Hence , 20 men can work in 37.5 hours.

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