Question

An army camp of 120 soldiers has enough rations to last 50 days. If 40 more soldiers join
the camp after 10 days, how long will the remaining ration last?


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Answer 1

Answer:

60 days i think so

thanks hope you like

Answer 2

Answer:-

$30 \: \: days$

Step - by - Explanation:-

¤ At the end of 10 days the camp has enough ration to provide for 120 for (50 - 10)days = 40 days. Since the number of soldiers increases, the ration will last for less days than planned. In other words, an increase in the number of soldiers will mean a decrease in the number of days. Hence, this is a case of inverse proportion.

• Thus, ratio of the number of soldiers =

$\frac{1}{ratio \: of \: the \: numbers \: of \: days}$

• Therefore,

$\frac{120}{120 + 40} = \frac{1}{ \frac{40}{x} }$

where x is the number of days for which the ration will last.

• Therefore,

$\frac{120}{160} = \frac{x}{40} \: \: or \: \: x \: = \: \frac{120}{160} \times 40 \\x = \frac{3}{4} \times 40 = 30 \: days \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

•$here \: \frac{3}{4} \: \: is \: \: the \: \: multiplying \: \: \\ ratio. \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Hope this answer will help u⭐⭐⭐⭐⭐