Question
R and S take 10 days and 15 days respectively to complete a task alone. If they alternate work every day starting with R, how much time will it take to finish the job?
Solution
ATQ,
Total work = 30 units (LCM of 10 and 15)
R’s efficiency = (30 ÷ 10) = 3 units/day
S’s efficiency = (30 ÷ 15) = 2 units/day
In 2 days = 3 + 2 = 5 units
Time = (30 ÷ 5) × 2 = 12 days
More Time and work Questions
- 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(1/...
- Sam alone can complete a work in 60 days. Arun is three times as efficient as Sam. Find the percentage of work completed by Sam and Arun together in 15 day...
- A firm assigned 10 technicians to complete an assignment in 30 days. After 12 days of work, 4 technicians were moved to another location. What is the exten...
- Akhil and Nikhil together can complete a work in 15 days while Nikhil alone takes 20 days to complete 50% of the work. If the efficiency of Sachin is 20% m...
- 3 men and 4 boys can together complete a work in 10 days. 4 men and 2 boys can together complete the same work in 8 days. Find the time taken by 8 boys tog...
- Rahul alone can do 60% of the same piece of work in (z-4) days. Queen and Rahul together can do 75% of the same piece of work in (0.5z+4) days. Pankaj alon...
- ‘A’ and ‘B’ can complete a certain work in 13 days and 26 days, respectively. They started working together and worked till completion of the work for whic...
- Before servicing, a car runs at a speed of 20 km/hr while after servicing, it runs at a speed of 30 km/h. After servicing the car covers a certain distance...
- P’s 5 days work is equal to Q’s 6 days work. If P and Q together can complete the work in 25 days then how much time Q will take to complete 80% of the wor...
- P can do a piece of work in 12 days, Q can complete double the work in 20 days and R can do the work in 15 days. If all of them together earn Rs. 2500, the...
Relevant for Exams:
