Question
'B' and 'N' can collectively finish a task in 88 days,
and 'N' and 'S' together can complete the same work in 66 days. If 'B' and 'S' work together, they can finish the job in 72 days. Determine the ratio of the efficiencies of 'B', 'N', and 'S', respectively.Solution
ATQ, Let, the total work be 792 units (LCM of 88, 66 and 72) Amount of work done by 'B' and 'N' together in one day = (792/88) = 9 units Amount of work done by 'N' and 'S' together in one day = (792/66) = 12 units Amount of work done by 'B' and 'S' together in one day = (792/72) = 11 units Amount of work done by 'B', 'N' and 'S' together in one day = {(9 + 12 + 11) /2} = 16 units Amount of work done by 'B' alone in one day = 16 - 12 = 4 units Amount of work done by 'N' alone in one day = 16 - 11 = 5 units Amount of work done by 'S' alone in one day = 16 - 9 = 7 units So, the desired ratio = 4:5:7
Average run scored by a batsman in first ‘x’ matches is 44. In next 8 matches he scored runs with an average of 80 so that his overal...
The average of four numbers is 150. Two of the numbers are equal (not least), and 50 more than the least number. If the 4th number is twice the least nu...
Three natural numbers are given. If sum of average of any two numbers and the remaining third number is 56, 46 and 50 respectively, then find the sum o...
- There are three distinct numbers ‘x’, ‘y’ and ‘z’. If, x = 180, (x + y) = 480 and (z – y) = 60, then find the average of x, y and z.
Four numbers, when arranged in ascending order, are w, x, y and z. The average of the smallest three numbers is 25.5 while the average of the largest th...
- The average of 25, 39, 56, 44, 31, and 'x' is 41. What is the value of 'x²'?
There are only 220 students living in hostel. If 20 students left hostel, then overall expenditure of mess is reduced by Rs. 800 weekly but per student ...
The average of five consecutive odd numbers is 53. What is the average of the first three numbers among them?
- Rs. 4200 was distributed among 'P', 'Q', 'R' and 'S' in the ratio 2:5:4:3 respectively. Later, 'Q' gave an amount equal to 80% of the average amount receiv...
The average of the first 6 numbers is 'x+40', the average of the next 8 numbers is 'x', and the average of the remaining 6 numbers is 'x−10'. If the a...
Relevant for Exams:
