A fort had provision of food for 150 men for 45 days. after 10 days, 25 men was left the fort. the number of days for which the remaining food will last???
Answers
y=54
please mark it as a brainliest answer
Answer:
The remaining food is sufficient for 125 men for 42 days.
Step-by-step explanation:
Question:- A fort had provisions for 150 men for 50 days. After 15 days 25 men left the fort. How long will food last at the same rate for remaining men?
To find:- How long will food last at the same rate for remaining men?
Solution:-
Given that: fort had provision of food for 150 men for 45 days
Hence, after 10 days, the remaining food is sufficient for 150 men for 35 days
Remaining men after 10 days = 150 - 25 = 125
Assume that after 10 days,the remaining food is sufficient for 125 men for $x$ days
More men, Less days (Indirect Proportion)
(men) 150 : 125 :: $x$ : 35
$\Rightarrow 150 × 35 = 125x\\\Rightarrow 6 × 35 = 5x\\\Rightarrow x = 6 × 7 = 42$
i.e., the remaining food is sufficient for 125 men for 42 days
:)