If 7 workers can complete a task in 14 days, how many days will it take for 14 w

₹0.0

Question: If 7 workers can complete a task in 14 days, how many days will it take for 14 workers to complete the same task?

Options:

Correct Answer: 7 days

Solution:

Work done = Workers × Days. 7 workers × 14 days = 98 worker-days. 14 workers will take 98/14 = 7 days.

If 7 workers can complete a task in 14 days, how many days will it take for 14 workers to complete the same task?

If 7 workers can complete a task in 14 days, how many days will it take for 14 workers to complete the same task?

Step 1: Understand that 'worker-days' is a way to measure the total amount of work done. It combines the number of workers and the number of days they work.
Step 2: Calculate the total work done by the 7 workers in 14 days. This is done by multiplying the number of workers by the number of days: 7 workers × 14 days = 98 worker-days.
Step 3: Now, we need to find out how many days it will take for 14 workers to complete the same amount of work (98 worker-days).
Step 4: To find the number of days, divide the total work (98 worker-days) by the number of workers (14 workers): 98 worker-days ÷ 14 workers = 7 days.
Step 5: Therefore, it will take 14 workers 7 days to complete the task.

Work Rate – Understanding the relationship between the number of workers, the time taken, and the total work done.
Proportionality – Applying the concept of proportionality to determine how changes in the number of workers affect the time required to complete a task.