Question

1. A contractor has 50 men of the same capacity at work on a job. They can complete the work in 30 days, the working day being 8 hours, but the contract expires in 20 days. He decides to put 20 additional men. If all the men get 3.00 per day, for a full or part time day, and if the liquidated damages are P100.00 for every full or part day he requires
over his contract time, will he complete the work on time, and if not, would he save money by putting enough men complete it on time?

Answer 1

Step-by-step explanation:

• 50men +20 extra men =70men
• 70×8=560 hours = 23.3 days
• therefore thr men cannot finish the contract and the contractor should spend more money and hire more men to help

Answer 2

Given: A contractor has 50 men of the same capacity at work on a job. They can complete the work in 30 days, the working day being 8 hours, but the contract expires in 20 days. He decides to put 20 additional men. If all the men get 3.00 per day, for a full or part time day, and if the liquidated damages are P100.00 for every full or part day he requires over his contract time.

To find: We have to if he will complete the work on time, and if not, would he save money by putting enough men complete it on time or not.

Solution:

50 men can complete a work in 30 days by working 8 hours per day.

Total work will be-

$50 \times 30 \times 8 \\ = 12000$

Now if the work has to be complete in 20 days and 20 men are added then total work done will be-

$70 \times 8 \times 20 \\ = 11200$

So, he will not complete the work on time.

The money need for 1st case where 50 men work for 30 days and each man get 3 rupees is-

$50 \times 3 + 100 \times 30 \\ = 3150$

The money need for 2nd case where 70 men work for 20 days and each man get 3 rupees is-

$70 \times 3 + 100 \times 20 \\ = 2210$

Yes he will save money.