Question

It take 10 people working 2 hours a day 5 days to fix a road working at the same pace how many days will it take 2 people working 5 hours a day to fix a road

Answer 1

It would take 10 days for 2 people working for 5 hours a day to fix a road.

Explanation:

Given:

Let the number of people be denoted by 'p'.

Let the number of hours be denoted by 'h'.

Let the number of days be denoted by 'd'.

Solution:

Now given:

Case 1:

It take 10 people working 2 hours a day 5 days.

so we can say that;

`p_1=10`

`h_2=2`

`d_2=5`

Now we can say that.

Job Completed can be calculated by multiplying number of people with number of hours and number of days.

So we can say that;

Job Completed =
`p_1* h_1 * d_1 =10* 2* 5 =100`

Case 2:

We need to find the how many days will it take 2 people working 5 hours a day to fix a road.

So we can say that;

`p_2=2`

`h_2=5`

`d_2=?`

Now we know that;

Job Completed =
`p_1* h_1 * d_2 =2* 5* d_2 =10d_2`

Now we know that Job completed would be the same so we can say that;

`10d_2=100`

Dividing both side by 10 we get;

`(10d_2)/(10)=(100)/(10)\\\\d_2=10\ days`

Hence we can say that It would take 10 days for 2 people working for 5 hours a day to fix a road.