A, B and C together can complete a certain work in 40 days.
A, B and C together can complete a certain work in 40 days. B and C together can complete the same work in 72 days. B is 50% more efficient than A. A, B and C work together for 16 days. B alone will complete the remaining work in:
A, B और C मिलकर एक निश्चित कार्य को 40 दिनों में पूरा कर सकते हैं। B और C मिलकर उसी कार्य को 72 दिनों में पूरा कर सकते हैं। B की दक्षता, A की दक्षता से 50% अधिक है। A, B और C मिलकर 16 दिनों तक कार्य करते हैं। शेष कार्य को B अकेला कितने दिनों में पूरा करेगा?
Detailed Solution & Logic
36 day
Let total work = 1 unit.
A + B + C complete the work in 40 days.
Their one-day work = $1/40$
B + C complete the work in 72 days.
Their one-day work = $1/72$
So A's one-day work:
$1/40 - 1/72$
Taking LCM 360:
$=\frac{9-5}{360}$
$=\frac{4}{360}=\frac{1}{90}$
B is 50% more efficient than A.
So B's efficiency:
$B=\frac{3}{2}\times\frac{1}{90}$
$=\frac{1}{60}$
Now A, B and C work together for 16 days.
Work done in 16 days:
$16\times\frac{1}{40}=\frac{2}{5}$
Remaining work:
$1-\frac{2}{5}=\frac{3}{5}$
Time taken by B alone:
$\frac{3/5}{1/60}$
$=\frac{3}{5}\times 60$
=36
Similar Practice Questions
A can complete a work in 12 days, and B in 16 days, They work together for 3 days. How much work is left?
A can complete a work in 12 days, and B in 16 days, They work...
P can do a piece of work in 40 days. He worked on it for 10 days and then Q finished the work in 30 days. In how many days can P and Q together finish the work?
P can do a piece of work in 40 days. He worked on it for...
A pipe can fill a tank in 2\frac{2}{3} hours, and another pipe empties it in 4 hours. If both are opened together, how long will it take to fill the tank?
A pipe can fill a tank in $2\frac{2}{3}$ hours, and another pipe empties it in...
Pipe A is capable of filling a tank in 16 minutes while Pipe B can fill the same tank in 24 minutes.
Pipe A is capable of filling a tank in 16 minutes while Pipe B can...
P and Q together can fill a cistern with water in 12 hours.
P and Q together can fill a cistern with water in 12 hours. If P...
Two pipes, M and N, can fill a tank in 10 minutes and 15 minutes,
Two pipes, M and N, can fill a tank in 10 minutes and 15 minutes,...
4 men and 3 women finish a job in 6 days
4 men and 3 women finish a job in 6 days, and 5 men and...