Solve step by step if A takes 5 days to complete a task when he works per 8hrs a day. How many days he will take to complete the task if he works 5hrs a day
We can use the formula:
time₁ x (hours₁ / day₁) = time₂ x (hours₂ / day₂)
where
time₁ = 5 days (original time)
hours₁ = 8 hours/day (original hours of work)
day₁ = 1 day (original unit of time)
Let's substitute the values:
5 x (8/1) = time₂ x (5/1)
Simplifying:
40 = time₂ x 5
Divide both sides by 5 to isolate time₂:
time₂ = 8 days
Therefore, if A works for only 5 hours a day, it will take him 8 days to complete the task.
To solve this problem, we can use the concept of efficiency:
First, let's calculate the total work hours needed to complete the task using the given information.
A works 8 hours per day, so in 1 day, A completes 8 hours of work.
Therefore, in 5 days, A would complete 5 x 8 = 40 hours of work.
Now, let's calculate how many days it would take for A to complete the task if he works 5 hours a day.
If A works for 5 hours per day, in 1 day, he completes 5 hours of work.
Therefore, it would take A 40 / 5 = 8 days to complete the task if he works 5 hours a day.
So, A will take 8 days to complete the task if he works 5 hours a day.