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

Answer:

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

Step-by-step 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 = $p_1\times h_1 \times d_1 =10\times 2\times 5 =100$

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 = $p_1\times h_1 \times d_2 =2\times 5\times d_2 =10d_2$

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;

$\frac{10d_2}{10}=\frac{100}{10}\\\\d_2=10\ days$

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