Question

If 8 men work for 6 hours a day and finish building a road in 10 days how long will it take. 10 men working 4 hours a day​

Answer 1

answer-

Lets assume I am contractor and client asked me to build 1 room and provided some deadline

Now I need to build 1 room, and I have deadline from January 1 to January 20 to complete the work,

I have 8 Men they will work from 9 AM to 6 PM.

Below is my Calendar

So what I have now is 3 inputs to generate output

8 Men

X X X X X X X X

Works for

9 Hour

H H H H H H H H H

For

20 Day

D D D D D D D D D D D D D D D D D D D D

Output Result

1 room build

8 * 9 * 20 = 1 room build ----------------------- (1)

Client is happy now and I got 1 more requirement to build 1 same dimention room , but here comes problem, I have only 7 men left with me to work on this project maximum I can ask them is to work from 9 AM to 7 PM , Client is asking how much time it will take if I start from 1st Feb

So what I have now is 2 inputs to generate output, but I know I have done similar work in past

7 Men

X X X X X X X

Works for

10 Hour

H H H H H H H H H H

? Day (DAYS_FOR_SECOND_CONTRACT, need to check from past experience for same dimention room)

Output Result

1 room build

7 * 10 * DAYS_FOR_SECOND_CONTRACT = 1 room build ---------------------------(2)

From 1 and 2, The common thing is 1 same room build in both so we can compare there RHS

8 * 9 * 20 = 7 * 10 * DAYS_FOR_SECOND_CONTRACT

DAYS_FOR_SECOND_CONTRACT = (8 * 9 * 20) / (7 * 10)

DAYS_FOR_SECOND_CONTRACT = 20.57

This is the number of Days I will confirm to client