A garrison of 900 men had provisions for 42 days.

Question:

A garrison of 900 men had provisions for 42 days. However, a reinforcement of 500 men arrived. For how many days will the food last now?

Solution:

Let x be the required number of days. Then, we have:

No. of men 900 1400
No. of days 42 x

Clearly, more men will take less number of days to finish the food.

So, it is a case of inverse proportion.

Now, $900 \times 42=1400 \times x$

$\Rightarrow x=\frac{900 \times 42}{1400}$

$\Rightarrow x=27$

Therefore, the food will now last for 27 days.

 

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now