# what is time and work problem?

Dear Student,

Here we have two examples :

1. A piece of work can be completed by 45 men in 90 days . If only 30 men are available , how many days will it take to complete the same work ?

Solution :  A piece of work can be completed by 45 men in 90 days . , So

1 man can complete same work in 90 $×$ 45  days

Therefore,

30 men are available then they will it take days to complete the same work = 135  days  ( Ans )

2. The hostel of a college having 320 students has a stock of food for 80 days . If 20 students leave the hostel after 20 days , for how many more days will the food last ?

Solution :

Therefore,

64 more days will the food last .                                              ( Ans )