Question
Pawan, Bittu, and Raju can individually complete a task
in 36 days, 60 days, and 30 days, respectively. They all begin working together, but Raju stops after 5 days. Additionally, Pawan leaves the work 18 days before its completion. How many days does it take to complete the entire task?Solution
Let the total work = 180 units (LCM of 36, 60 and 30) Amount of work done by Pawan alone in one day = 180/36 = 5 units Amount of work done by Bittu alone in one day = 180/60 = 3 units Amount of work done by Raju alone in one day = 180/30 = 6 units Amount of work done by Pawan, Bittu and Raju together in 5 days = 5 × (5 + 3 + 6) = 70 units Amount of work done by Bittu alone in 18 days = 18 × 3 = 54 units Remaining work = 180 – 70 – 54 = 56 units Time taken by Pawan and Bittu together to complete 56 units work = 56/(5 + 3) = 7 days So the total time taken to complete the work = 5 + 18 + 7 = 30 daysÂ
- The earnings of ‘U’, ‘V’, and ‘W’ are in the ratio 2:3:5. Their average income is Rs. 18,000. If they spend 45%, 55%, and 65% of their respecti...
The average weight of 20 boys is 60 kg and the average weight of 30 girls is 55 kg. Find the average weight of all 50 students together.
The average of ten positive numbers is calculated as 56. On observing, it was found that two numbers 64 and 32 are wrongly interpreted as 76 and 52, res...
Average of four numbers is 24. Sum of smallest and largest number is 53. If difference between other two numbers is 1, then find the square of second sm...
The average salary of 9 employees in an office is ₹40,000. When the manager leaves, the average salary becomes ₹36,000. Find the salary of the manager.
The mean of 7 consecutive natural numbers is 68. What is the addition of the minimum and maximum numbers?
The average expenditure of a man for the first 4 month is Rs.5000 and for the next 8 months is Rs.8000. If he saves 12000 in that year then find his ave...
The average cost of items bought by a shopkeeper is ₹150. He purchases another item for ₹270, and the average increases by ₹10. Find the total cos...
The average of a set of 's' numbers is 30. If 50 is added to the set, then the average of the set becomes 30.2. Find the value of '4 X (s - 5)'.
The average age of a group of persons going for tour to Shimla is 22 years. 25 new persons with an average age of 10 years join the group and their aver...