Amresh and Bhagwan together can do a piece of work in 20 days, Bhagwan and Chandar in 15 days, and Chandar and Amresh in 30 days. In how many days can Amresh, Bhagwan, and Chandar working together complete the work?
Amresh and Bhagwan together can do a piece of work in 20 days, Bhagwan and Chandar in 15 days, and Chandar and Amresh in 30 days. In how many days can Amresh, Bhagwan, and Chandar working together complete the work?
अमरेश और भगवान मिलकर एक काम 20 दिनों में कर सकते हैं, भगवान और चंदर 15 दिनों में और चंदर और अमरेश 30 दिनों में। अमरेश, भगवान और चंदर मिलकर काम कितने दिनों में पूरा कर सकते हैं?
Detailed Solution & Logic
$13\frac{1}{3} $ days / दिन
Amresh and Bhagwan / अमरेश और भगवान = A + B = $\frac{1}{20}$
Bhagwan and Chandar / भगवान और चंदर = B + C =$\frac{1}{15}$
Chandar and Amresh / चंदर और अमरेश = C + A = $\frac{1}{30}$
Lcm = 60
=$ \frac{3}{60} + \frac{4}{60} + \frac{2}{60} = \frac{9}{60} $
2(A+B+C) के बराबर हैः
= 2(A+B+C) = $ \frac{9}{60}$
= A+ B + C =$ \frac{9}{120} = \frac{3}{40}$
= Total time =1/ (A + B + C)
Answer= $\frac{40}{3} = 13\frac {1}{3} $ days
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