Meenakshi and Seenu together can complete a piece of work in 40 days.
Meenakshi and Seenu together can complete a piece of work in 40 days. Seenu and Ritika together can complete the same work in 24 days, and Ritika and Meenakshi together can complete the same work in 30 days. In how many days will all there of them together complete that work?
मीनाक्षी और सीनू मिलकर एक काम 40 दिनों में पूरा कर सकते हैं। सीनू और रितिका मिलकर उसी काम को 24 दिनों में पूरा कर सकते हैं, और रितिका और मीनाक्षी मिलकर उसी काम को 30 दिनों में पूरा कर सकती हैं। वे सभी मिलकर उस काम को कितने दिनों में पूरा करेंगी?
Detailed Solution & Logic
20
Given:
$M + S = \frac{1}{40}$
$S + R = \frac{1}{24}$
$R + M = \frac{1}{30}$
Adding all three equations:
$2(M+S+R) = \frac{1}{40} + \frac{1}{24} + \frac{1}{30}$
Taking LCM $= 120$
$2(M+S+R) = \frac{3+5+4}{120}$
$= \frac{12}{120}$
$= \frac{1}{10}$
So,
$M+S+R = \frac{1}{20}$
Therefore, all three together can complete the work in 20 days.
✅ Correct Answer: 20
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