Question
Aman, Bittu, and Chintu can each complete a task in 20,
30, and 60 days, respectively. How many days will it take for Aman to finish the work if he is helped by Bittu and Chintu on every third day?Solution
ATQ,
Aman's work rate: 1/20 (since he finishes the work in 20 days). Bittu's work rate: 1/30 (since he finishes the work in 30 days). Chintu's work rate: 1/60 (since he finishes the work in 60 days).
Work done in a 3-day cycle: Days 1 and 2: Only Aman works, completing 1/10 of the work in 2 days. Day 3: Aman, Bittu, and Chintu work together, completing 1/10 of the work.
So, in each 3-day cycle, they complete 2/10 =1/5 of the work.
Total time = To complete the entire work, it will take 5 cycles (since = 1/(1/5) = 5
Each cycle takes 3 days, so the total time is 5×3 = 15 days.
It will take 15 days for the work to be completed.
A and B working together, can do a piece of work in 4(1/2) hours. B and C working together can do it in 3 hours. C and A working together can do it in 2...
(x + 7) workers finish 60% of a job in 9 days working 4 hours/day. The remaining work is done by (x + 3) workers in 12 days working 3 hours/day. Find x.
- Person A is 40% more efficient than person B, while person C is 40% less efficient than person B. All three—A, B, and C—can together finish a task in 3...
V and N, working individually, can complete a task in (w – 2) days and (w + 4) days, respectively. N initiated the task alone and was later joined by ...
18 skilled workers can complete a task in 12 days while 24 semi-skilled workers need 15 days to complete the same task. 12 skilled workers started the t...
Ajay, Bablu and Chirag can complete a certain work in 21, 28 and 15 days respectively. Ajay and Chirag started the work while Bablu joined them after 5 ...
P and Q can complete a work in 28 days and 42 days, respectively. P, Q and R together can complete the work in 14 days. If R get a total wage of Rs. 546...
36 women can complete a task in 20 days. If 18 women start the task and after 15 days ‘y’ more women join, ensuring the remaining work is completed ...
‘A’ is 80% more efficient than ‘B’. ‘A’ and ‘B’ work together for 5 days after which ‘A’ is replaced by ‘C’. ‘B’ and ‘C�...
- 'P', 'Q', and 'R' can complete a job in 60, 90, and 120 days respectively. They begin together, but 'P' leaves 10 days before the work is done and 'Q' leav...
