# what is time and work problem?

Please find below the solution to the asked query:

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 $\times $ 45 days

Therefore,

**30 men are available then they will it take days to complete the same work $\frac{45\times 90}{30}=45\times 3$ = 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 )**

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