Sure, let's solve this step by step:

Step 1: First, let's find out how much work is done by the 45 men in the first 6 days. Since 45 men can complete the work in 16 days, in 6 days they would have completed 6/16 = 0.375 or 37.5% of the work.

Step 2: This means that 62.5% of the work is still remaining.

Step 3: Now, 30 more men join the work, making the total number of men 75.

Step 4: We know that 45 men can complete the work in 16 days, so 75 men (which is 45 men + 30 men) will be able to complete the work faster.

Step 5: The rate at which the 75 men can work is (75/45) times the rate at which 45 men can work. So, they can complete the work in (45/75) * 16 = 9.6 days.

Step 6: But since only 62.5% of the work is remaining, they will take only 62.5% of this time to complete the remaining work.

Step 7: So, the time taken to complete the remaining work is 0.625 * 9.6 = 6 days.

Therefore, they will now take 6 more days to complete the remaining work.

Question

Sure, let's solve this step by step:

Step 1: First, let's find out how much work is done by the 45 men in the first 6 days. Since 45 men can complete the work in 16 days, in 6 days they would have completed 6/16 = 0.375 or 37.5% of the work.

Step 2: This means that 62.5% of the work is still remaining.

Step 3: Now, 30 more men join the work, making the total number of men 75.

Step 4: We know that 45 men can complete the work in 16 days, so 75 men (which is 45 men + 30 men) will be able to complete the work faster.

Step 5: The rate at which the 75 men can work is (75/45) times the rate at which 45 men can work. So, they can complete the work in (45/75) * 16 = 9.6 days.

Step 6: But since only 62.5% of the work is remaining, they will take only 62.5% of this time to complete the remaining work.

Step 7: So, the time taken to complete the remaining work is 0.625 * 9.6 = 6 days.

Therefore, they will now take 6 more days to complete the remaining work.

Knowee AI · Accepted Answer