Question
A and B alone can complete a work in 15 and 30 days,
respectively. 50% of the work is completed by C in 2x days, and the remaining work is completed by A and B working together in ‘x’ days. Find the time taken by B and C to complete the whole work while working together.Solution
Time taken by A and B to complete the whole work while working together = (15 × 30)/(15 + 30) = 10 days So, x = 10/2 = 5 (Since, 50% of the work is done by A and B together) As, time taken by C to complete 50% of the work = 5 × 2 = 10 days So, time taken by C to complete the entire work = 10 × 2 = 20 days Therefore, time taken by B and C to complete the whole work while working together = (20 × 30)/(20 + 30) = 12 days
‘A’ and ‘B’ can complete a certain work in 15 days and 10 days, respectively. They started working together and worked till completion of the wo...
Efficiency of A is 25% more than B and B takes 30 days to complete a piece of work. A started the work alone and then B joined him 4 days before actual ...
Person A can complete a work in 90 minutes while Person B takes 54 minutes to complete the same work. How much time will both take together to complete ...
P can do a piece of work in 20 days, Q can do the same piece of work in 24 days while R can do it in 30 days. They started working together but after 4 ...
‘A’ alone can complete a work in 50 hours. ‘A’ started the work alone and left after working on it for 30 hours. If ‘B’ completed the rest o...
‘M’ is 60% more efficient than ‘N’. ‘N’ started the work alone and worked for 20 days and after that ‘N’ is replaced by ‘M’. If the ...
P and Q individually can complete the work in 22 days and 33 days respectively. If the time taken by R alone to complete the work is 1.25 times the time...
Ajay and Vijay together can paint a piece of furniture in 11 days. Vijay and Chirag together, as well as Ajay and Chirag together...
- ‘P’ and ‘Q’ together can finish a task in 15 days while ‘Q’ alone can do it in 25 days. If the ratio of efficiencies of ‘P’ and ‘R’ is ...
- The time taken by ‘X’, ‘Y’ and ‘Z’ to complete a task is ‘6n’ days, ‘9n’ days and ‘12n’ days, respectively. What is the ratio of th...
