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In an army camp there is sufficient food for 120 cadets for 24 days. If 48 cadets leave the camp, how long would the food last?

March 17, 2026Mathematics

ScanSolve AI Answer

Answer

\dfrac{1 + \sqrt{3}}{2}

24 \text{ days}

7 steps

Section A, Question 1

Standard value of $\sin\frac{\pi}{3}$ .
$\sin\frac{\pi}{3} = \frac{\sqrt{3}}{2}$
Standard value of $\cos\frac{\pi}{3}$ .
$\cos\frac{\pi}{3} = \frac{1}{2}$
Add the values.
$\sin\frac{\pi}{3} + \cos\frac{\pi}{3} = \frac{\sqrt{3}}{2} + \frac{1}{2} = \frac{1 + \sqrt{3}}{2}$
\dfrac{1 + \sqrt{3}}{2}

Section A, Question 2 (Men work problem)
Total man-days required for the wall.
30 men $\times$ 20 days = 600 man-days.
Days taken by 25 men.
Days = $\frac{600}{25} = 24$ days.

24 days

Section B, Question 1 (Probability of two tails)
Probability of tails on single fair coin toss.
$P(\text{tail}) = \frac{1}{2}$
Step 7

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