Question
A tank is filled by 3 pipes, second pipe take 10 hours
more than first pipe and 10 hours less than third pipe to fill the tank alone. If second and third pipe together take 2 hour more than first pipe to fill the tank then find out how much time second pipe will take to fill the tank alone?Solution
Let the second pipe can fill tank in x hours So, first pipe fill tank in (x-10) hours and Third pipe fill tank in (x + 10) hours According to the question, Second pipe and third pipe together take 2 hour more time to fill the tank from first pipe. So time taken by second pipe third pipe together = (x – 10 + 2) hours = (x – 8) hours 1/x + 1/(x +10) = 1/(x -8) (x +10 + x )/(x2+ 10 x) = 1/(x - 8) (x – 8) (2x + 10) = x2+ 10x 2x2+ 10x - 16x – 80 = x2+ 10x x2 - 16x – 80 = 0 x2 - 20x + 4x – 80 = 0 x(x – 20) + 4(x – 20) = 0 (x – 20) (x + 4) = 0 x = - 4, 20 So second pipe can fill the tank in 20 hours alone.
‘P’ can finish a task in 36 days, while ‘Q’ can do the same task in (x + 4) days. If both work together and finish the task in 12 days, what is ...
A can complete a work in 18 hours while B can complete it in 12 hours. If C is 80% more efficient than A and B together, then find the time taken by C a...
A buffalo alone can plough field ‘A’ in 30 days. A Bull alone can plough the field ‘A’ in 36 days. Find the number of days taken by 2 bulls and ...
‘M’ is 60% more efficient than ‘N’. ‘N’ started the work alone and worked for 12 days and after that ‘N’ is replaced by ‘M’. If the ...
A alone work for 6 days then left the work and B alone finishes remaining work in 12 days. If ratio of time taken by A alone to B alone to finish work ...
A and B can complete a work together in 32 days. If A alone can complete one-fourth of the work in ‘x’ days and remaining work is completed ...
If 'A' needs 24 more days to complete a certain task working alone compared to when 'A' and 'B' work together, and 'A' is 50% more efficient than 'B', w...
6 boys and 8 girls can do a piece of work in 12 days. 7 boys and 11 girls can do the same piece of work in 10 days. In how many days can 2 boys and 6 g...
'M' alone finishes a project in 30 days. 'M' and 'N' together can complete the same project in 16(2/3) days. How many days would 'N' need to do the proj...
A alone can complete 40% of a work in 18 days while B takes 15 days more than A to complete it. If B and C together can complete the work in 20 days, th...
Relevant for Exams:
