A and B can do a piece of work in 72 days. B and C can do it in 120 days. A and C can do it in 90 days. In what time can A alone do it?
by
Updated Mar 09, 2024
A and B can do a piece of work in 72 days. B and C can do it in 120 days. A and C can do it in 90 days. In what time can A alone do it?
A alone can work in 120 days.
Given :
A + B = 1/ 72
B + C = 1/ 120
A + C = 1 / 90
Now, We have to find the work done by A alone.
A + B + B + C + A + C = 1/72 + 1/120 + 1/90
2 ( A + B + C) = 1/72 + 1/120 + 1/90 ===> Eqn 1
Solving the above equation
2 ( A + B + C) = ( 5 + 3 + 4) / (360)
2 ( A + B + C) = 12 / 360 ==> 1/30
A+ B + C = 1/30 x 1/2
A+ B + C = 1/ 60
Now, Subtract B and C 's work from A
A = 1/60 - B + C
A = 1/60 - 1/120 ===> 1/120
So, A alone can work in 1/120 days.
Example Sums to Work out
A does half as much work as B in one-sixth of the time. If together they take 10 days to complete a work. How much time shall B alone take to do it?
A can do a piece of work in 10 days and B in 15 days. How long will they take together to finish it?
Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
A and B can do a piece of work in 72 days. B and C can do it in 120 days. A and C can do it in 90 days. In what time can A alone do it - FAQs
A alone can work in 120 days.
B and C can do it in 120 days.