Question

If it takes 6 men 25 hours to dig 5 holes, how many hours does it take to dig 5 holes with 10 men

Answer 1

Six men take 25 hours to dig 5 holes. 10 men would take 15 hours to dig the same number of holes due to the increased combined work rate.

Step-by-step explanation:

To find out how long it takes 10 men to dig 5 holes, we can use the concept of inverse variation. Inverse variation is a relationship where one variable increases while the other variable decreases, and it can be represented by the equation y = k/x, where y and x are the two variables and k is a constant.

In this case, we can set up the equation:

6 men * 25 hours = 10 men * x hours,

where x is the unknown number of hours it takes for 10 men to dig 5 holes.

Simplifying the equation, we have:

150 men-hours = 10 men * x hours.

Dividing both sides of the equation by 10 men, we get

x = 150 men-hours ÷ 10 men

= 15 hours.

Therefore, it would take 10 men 15 hours to dig 5 holes.

Answer 2

Answer: Answer is 15 hours

Step-by-step explanation:Given 6 men dig 5 holes in 25 hours

Therefore 10 men will take to dig 5 holes is

workers(1) × time(1) = workers(2)×time(2)

(This formula is used when Total work is same)

where workers(1)= 6 men

Time (1) = 25 hours

workers (2) = 10 men

We have find out Time(2)=T(2)

by applying above formula

6×25=10×T2

after simplify

T2= 15 hours