Knowee
Questions
Features
Study Tools

Eighteen workers can lay a road in 24 days working 12 hours a day.  In how many days can 54 workers lay a road which has one-third more length than the earlier one, working 8 hours a day?

Question

Eighteen workers can lay a road in 24 days working 12 hours a day.  In how many days can 54 workers lay a road which has one-third more length than the earlier one, working 8 hours a day?

🧐 Not the exact question you are looking for?Go ask a question

Solution

Sure, let's solve this step by step:

Step 1: First, we need to find out the total man-hours required to lay the original road. This can be calculated by multiplying the number of workers by the number of days and the number of hours worked each day. So, 18 workers * 24 days * 12 hours/day = 5184 man-hours.

Step 2: Now, we need to calculate the man-hours required to lay the new road. The new road is one-third longer than the original road, so it will take one-third more man-hours to complete. So, 5184 man-hours * (1 + 1/3) = 6912 man-hours.

Step 3: Finally, we need to find out how many days it would take for 54 workers to complete the new road working 8 hours a day. This can be calculated by dividing the total man-hours by the product of the number of workers and the number of hours worked each day. So, 6912 man-hours / (54 workers * 8 hours/day) = 16 days.

So, it would take 16 days for 54 workers to lay a road which has one-third more length than the earlier one, working 8 hours a day.

This problem has been solved

Similar Questions

Sixteen men can complete a work in 22 days working 12 hours a day.  In how many days can 24 men complete the same work working 16 hours a day?

A contractor agreed to construct a 12 km road in 180 days for which he employed 120 men. After 80 days construction of only 4 km road was completed. How many additional men should he employ to complete the work as per the agreement?

Jack alone can complete a work in 12 days and Jill alone can complete the same work in 24 days. In how many days can Jack and Jill together complete the same work?6 days4 days10 days8 days

A construction crew is lengthening a road. The road started with a length of 53 miles, and the crew is adding 2 miles to the road each day.Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 39 days.Equation: Total length of the road after 39 days

6 persons working 5 hours a day can complete a work in 16 days .how many days will 4 persons wil take to complete the same work if each 6 hours a day​

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.