Question
P, Q, R can do a piece of work in 40 days, 90 days, and
36 days, respectively. P started the work. Q joined him after 8 days. If R joined them after 9 days from the beginning, then for how many days did R work?Solution
LCM (40, 90, 36) = 360 Let the total work be the LCM of the time taken individually by the workers. Efficiencies, P does each day = 360 /40 = 9 units Q does each day = 360/ 90 = 4 units R does each day = 360 /36 = 10 units Let the total work be completed in K days. According to the question, 9 x K + 4 x (K-8) + 10 x (K - 9) = 360 9K+4K-32+10K-90=360 23K= 482 K = 482/23 (K-9) = (482/23) -9 = (482-207)/23=275/23 (K - 9) = 11(22/23) days.
P can do a piece of work in 15 days, Q can complete double the work in 40 days and R can do the work in 20 days. If all of them together earn Rs. 3000, ...
- Alex and Ben can complete a job individually in 14 days and 21 days, respectively. If they take turns to work one day each, beginning with Alex, how long w...
‘X’ and ‘Y’ can do a task together in 15 days. If ‘X’ alone takes 25 days to complete it, then how much time will ‘Y’ take to finish the...
‘P’ and ‘Q’ can complete a task together in 24 days. If ‘P’ alone can do it in 40 days, find the number of days ‘Q’ alone will take to f...
A can complete a work in 40 days. B takes 20 days less than A to complete the same work. In how many days can both of them together complete 90% of the ...
P can do a piece of work in 30 days. Q do the same work in 40 days. R can do it in 35 days. P and R worked for 4 days and handed it to Q. Q worked for s...
X can do a piece of work in 15 days. He worked at it for 3 days and then Y finished it in 16 days. In how many days can X and Y together finish the work?
A job is done by 15 men in 30 days and 30 women in 20 days. How many days will it take for 8 men and 12 women to finish the work?
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 ...
12 engineers complete designing 180 blueprints in 15 days. If the goal is to complete 270 blueprints in 18 days, how many engineers are required?
Relevant for Exams:
