1400 army men in a camp can finish a stock of food in 40 days. after 30 days, some more army men joined them and now the food can last for 7 more days only. Find out how many army men had joined the camp after 30 days.
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Answer:
Number of men = 1400
Number of days = 40 days
After 30 days, some more army men join them and now the food lasts for only 7 more days.
So, we will use "Time and Work" to find the additional army men.
\begin{gathered}1400\times (40-30)=x\times 7\\\\1400\times 10=x\times 7\\\\\dfrac{14000}{7}=x\\\\x=2000\end{gathered}
1400×(40−30)=x×7
1400×10=x×7
7
14000
=x
x=2000
So, Additional men would be
2000-1400=6002000−1400=600
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