A work can be finished in a day by 20 men
A work can be finished in a day by 20 men, or by 30 women, or by 50 boys. 2 men and 5 boys work on alternate days and 6 women work on all days. If men work on the first day, the work is finished in _________ days.
एक कार्य को 20 पुरूष, या 30 महिलाएँ, या 50 लड़के एक दिन में पूरा कर सकते हैं। 2 पुरूष और 5 लड़के एकांतर दिनों में कार्य करते हैं और 6 महिलाएँ सभी दिन कार्य करती हैं। यदि पुरूष पहले दिन कार्य शुरू करते हैं, तो कार्य _______ दिनों में पूरा हो जाता हैं।
Detailed Solution & Logic
\(3\frac{1}{3}\)
$ 1\text{ man}=\dfrac{1}{20}, 1\text{ woman}=\dfrac{1}{30}, 1\text{ boy}=\dfrac{1}{50} $
$ 6\text{ women/day}=\dfrac{1}{5} $
$ 2\text{ men/day}=\dfrac{1}{10},5\text{ boys/day}=\dfrac{1}{10} $
$ \text{Day 1 (men+women)}=\dfrac{3}{10} $
$ \text{Day 2 (boys+women)}=\dfrac{3}{10} $
$ \text{In 2 days}=\dfrac{3}{5} $
$ \text{Remaining}=\dfrac{2}{5} $
$ \text{Time}=\dfrac{2/5}{3/10}=\dfrac{4}{3} $
$ \text{Total days}=2+\dfrac{4}{3}=3\dfrac{1}{3} $
$ {3\dfrac{1}{3}} $
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