Question
Pawan can finish a task in 28
days, while Bhavna requires 7 more days than Pawan to complete the same task. They both started working together but stopped after 10 days. Raja then completed the remaining work in 5 days. Determine how long Raja alone would take to complete the entire task.Solution
ATQ,
Time taken by 'Bhavna' to complete the work = 28 + 7 = 35 days Let the total work be 140 units (LCM of 28 and 35) Efficiency of 'Pawan' = (140/28) = 5 units/day Efficiency of 'Bhavna' = (140/35) = 4 units/day Work completed by 'Pawan' and 'Bhavna' in 10 days = (5 + 4) × 10 = 90 units Remaining work = 140 - 90 = 50 units So, efficiency of 'Raja' = 50/5 = 10 units/day Therefore, time taken by 'C' to complete the entire work = 140/10 = 14 days
- If Rina can complete a project in 36 days by working 9 hours a day, how many hours per day should she work to complete the project in 18 days?
A and B together can do a work in 10 days. A alone can do it in 15 days. In how many days can B alone do it?
P works thrice as fast as Q, whereas P and Q together can work four times as fast as R. If P&Q and R together work on a job, in what ratio should they s...
Vijay can do a piece of work in 32 days and Sanjay can do the same work in 48 days. If Vijay works for 2 days and got Rs. 960, and the remaining work wi...
‘A’ alone can complete a work in 20 hours. ‘A’ started the work alone and left after working on it for 15 hours. If ‘B’ completed the rest o...
A can fabricate a divider in 23 days , while B alone can assemble it in 26 days, If they construct it together and get an installment of Rs 9800, then f...
The total present ages of 'X', 'Y' and 'Z' is 150 years and the average of present ages of 'X' and 'Z' is 44 years. 5 years ago, 'Y' was twice as old as...
Working 10 hours a day, Jagan can complete a work in 12 days while working 8 hours a day, Magan can complete the same work in 9 days. If Jagan and Magan...
Ratio of the work done by P, Q and R in one day is 7:3:8 respectively. They all together can complete the work in 42 days. Q and R worked on it for 21 d...
Asmita and Bhanu working together can complete the task in ____ days, and the efficiency of Sam is 50% more than that of Asmita. Bhanu alone can complet...
Relevant for Exams:
