Question

A factory completes 1 production of items in 12 days.

I)In how many days 1/2 part of the production is done .

ii) How much work is completed in 9 days.​

Answer 1

I) To determine the number of days it takes to complete half of the production, we can use the concept of proportions.

If 1 production is completed in 12 days, then 1/2 of the production would be completed in half the time.

So, (1/2) production would be completed in (1/2) * 12 = 6 days.

Therefore, it would take 6 days to complete half of the production.

ii) To calculate the amount of work completed in 9 days, we can set up a proportion using the ratio of time to production.

If 1 production is completed in 12 days, then the amount of work completed in 9 days can be calculated as:

(9 days) / (12 days) = (x work) / (1 production)

Cross-multiplying, we get:

9 * 1 = 12 * x

9 = 12x

Dividing both sides by 12:

x = 9/12

Simplifying the fraction, we get:

x = 3/4

Therefore, in 9 days, 3/4 (or 75%) of the work would be completed.

To summarize:

i) It would take 6 days to complete half of the production.

ii) In 9 days, 3/4 (or 75%) of the work would be completed.