Question
P and Q can separately finish the work in 15 days and 25
days respectively. They worked together and P left the work, so Q complete the remaining work in 5 days. After how many days P left the work?Solution
P can do a work in 15 days. Q can do a work in 25 days. Let P left after x days. Q worked for (x+5) days. ∴ 1/15 × x + 1/25 (x+5) = 1 x/15 + x/25 + 1/5 = 1 (5x+3x)/75 = 4/5 8x/75 = 4/5 x = 15/2 days Alternate method: Let total work = LCM(15, 25) = 75 So P’s 1 day work = 5 & Q’s 1 day work =3 So Q’s 5 days work in last = 3×5 = 15 So remaining work = 75 – 15 = 60 So this 60 units of work is completed by both in = 60/(5+3) = 60/8 = 15/2 days
‘A’ alone can complete a work in 20 days. ‘B’ alone can complete the same work in 25 days. If ‘A’ and ‘B’ work together for 7 days, then...
A can do a piece of work in 28 days, while B can do the same piece of work in 42 days. They begin working together and 6 days before completion of work,...
'P', 'Q', and 'R' can individually complete a task in 20, 24, and 30 days, respectively. They all started working together, but '...
‘A’ alone can do some work in 12 days. ‘B’ and ‘C’ together can do the same work in 6 days. If ‘B’ is half as efficient as ‘A’, then...
12 children and 18 men complete an artwork in 9 days. Each child takes twice as long as a man to finish the artwork. How many days will it take for 18 m...
Anita started working and left after 3 days and aftere that Binita started the rest work and finished it in another 5 days. Had Anita left the work afte...
A and B can complete a task in 6 days working together. A alone works twice as fast as B. If A works alone for 2 days and B finishes the rest, how many ...
- If the efficiency ratio of A, B, and C is 7:9:11, and B and C together can finish a task in 10 days, then how much time will A and B need to complete it?
Bittu can finish a task by himself in 60 days, while Anoop and Bittu working together can complete the same task in 28 days. If A...
Saurabh can complete a piece of work in 20 days. He worked for 5 days and left. Anirudh completed the remaining work in 12 days. If both of them had do...
