Question
‘A’ alone can complete a work in 12 days. ‘B’
alone can complete the same work in 20 days. If ‘A’ and ‘B’ work together for 6 days, then the remaining work can be completed by ‘A’ alone in how many days?Solution
Let the total amount of work = 60 units {LCM of 12 and 20} Then, efficiency of ‘A’ = 60/12 = 5 units/day Efficiency of ‘B’ = 60/20 = 3 units/day Combined efficiency of ‘A’ and ‘B’ = 5 + 3 = 8 units/day Work completed by ‘A’ and ‘B’ together in 6 days = 6 × 8 = 48 units Remaining work = 60 – 48 = 12 units Time taken by ‘A’ alone to complete the remaining work = 12/5 = 2.4 days
Anil and Ashish receive Rs.1800 for work of 6 days. If Anil is 3 times efficient than Ashish, then find the daily wage received by Ashish.
A and B together can finish a task in 35 days. If B is 40% more efficient than A, how many days will it take for B alone to complete the task?
Ratio of the work done by P, Q and R in one day is 6:4:7 respectively. They all together can complete the work in 45 days. Q and R worked on it for 27 d...
P alone can finish a piece of work ‘M’ in 6 days while Q takes 3 days to finish it alone. P, Q and R working together can finish the work ‘N’ wh...
168 unit of work can be completed by P alone in 28 days. P started working alone and joined by Q after 10 days such that they completed the remaining wo...
A’ and ‘B’ together can complete a work in 20 days while ‘A’ takes 30 days to complete the same work alone. If ‘C’ is 60% more efficient t...
162 unit of work can be completed by P alone in 27 days. P started working alone and joined by Q after 12 days such that they completed the remaining wo...
A, B and C can complete the whole work in 20 days. A starts the work and works for ‘x’ days while B and C complete the remaining 3/5 of the ...
The ratio of time taken by P, Q and R to complete work alone is 4:5:3 respectively. If all three together complete the work in 6 days, then find in how ...
A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is ...
Relevant for Exams:
