Question
P can complete a work in 25 days, while Q can complete
the same work in 30 days. They work together for 5 days, and then P is replaced by R, who can complete the work in 40 days. In how many more days will the remaining work be completed?Solution
Let the total work be 1 unit. P’s efficiency = 1/25, Q’s efficiency = 1/30, and R’s efficiency = 1/40. Work done by P and Q in 5 days = (1/25 + 1/30) × 5 = (11/150) × 5 = 11/30. Remaining work = 1 - 11/30 = 19/30. Now, Q and R are working together. Their combined efficiency = 1/30 + 1/40 = 7/120. Time taken to complete the remaining work = (19/30) ÷ (7/120) = 76/7 ≈ 11 days. Final Answer: (a) 11 days
The ratio between the length and breadth of a rectangular board is 7:5. If the breadth of the board is 20.5cm, find the length in cm.
28 percent of a number and 40 percent of another number are in the ratio 7: 8. What is the ratio of 50 percent of the first number to 75 percent of the ...
The ratio of number of girls to number of boys is 3 : 2 in a class of 60 students. The average marks scored by the boys in Physics is 72 and the average...
In a class, the number of students studying English and Math is in the ratio 3:4. If 12 additional students join the Math group, the ratio of students s...
120 cookies were distributed among 20 students in a class such that each boy gets 8 cookies and each girl gets 4 cookies. Find the number of boys in the...
In an orchard, the ratio of the number of mango and lichi trees is 4:7, respectively. Also, there are few apple trees in the orchard which is 50% more t...
A certain amount was divided among four people P, Q, R and S such that the amount obtained by S is 12.5% more than the amount obtained by Q. The amount ...
Ratio of runs scored by A, B and C is 3:10:8, respectively. Total number of runs scored by the team is 480, which is four times the runs scored by B. Fi...
The ratio of two numbers 'a' and 'b' is 6:2, respectively. Whereas the ratio of 'b' and 'c' is 10:11, respectively. When 14 is added to 'a', it becomes ...
- Rs. 36000 is shared among 'Pawan', 'Qureshi' and 'Raju' such that 'Pawan' receives (3/5) of what 'Qureshi' gets and (3/2) times of what 'Raju' gets. What i...
Relevant for Exams:
