Question
βPβ and βQβ can complete a project in 45 days
and 60 days respectively while βPβ, βQβ and βRβ together can complete the same project in 15 days. Find the time taken by βRβ alone to complete 50% of the work.Solution
ATQ Let total amount of work = 180 units (LCM of 45 and 60) Amount of work done by βPβ in one day = 180/45 = 4 units Amount of work done by βQβ in one day = 180/60 = 3 units Amount of work done by βPβ, βQβ and βRβ in one day = 180/15 = 12 units Amount of work done by βRβ in one day = 12 β 4 β 3 = 5 units Desired time = (0.50 Γ 180)/5 = 18 days
A can finish a task by himself in 25 days, whereas B can finish the same task by himself in 10 days. A begins the task but stops after 5 days, at which ...
Three boys can do a work in 15 days where as 6 girls can do in 12days. What will be the time taken to complete the same work by a teacher if the efficie...
A, B and C can mow a field in 36 days, 72 days and 54 days respectively. All the three began the work together on January 1, 2016, but A left 8 days and...
- 6 interns together do as much work as a regular employee. If 36 interns finish 90 tasks in 3 days, how many regular employees are required to do 90 tasks i...
Four lights blink at intervals of 18 seconds, 24 seconds, 36 seconds, and 48 seconds respectively. How many times will all the lights blink together in ...
A and B can each finish a task in 32 days and 36 days respectively. They begin the task together, but after 12 days, A leaves. How long will it take for...
A and B together can finish a job in βxβ days, while A alone takes βx + 32β days to complete it. B alone can finish the job in 90 days. If C is ...
P is 60% more efficient than Q. P takes 30 more days to finish a work as compared to the number of days taken by P and Q together to finish the same wor...
5 Pandavas can do a work in 18 days, 4 Kauravas can do the same work in 30 days. Now, in how many total days the total work be finished if 1 Panadva and...
A team leader can do a job as fast as three members of the team working together. If one of the member can do the job in 5 hrs, the second one takes 10 ...
Relevant for Exams:
