Question
‘A’ alone can complete a work in 50 hours. ‘A’
started the work alone and left after working on it for 20 hours. If ‘B’ completed the rest of the work in 10 hours then find the time taken by ‘A’ and ‘B’ together to complete the whole work.Solution
Let the total work = 200 units Then, efficiency of ‘A’ = (200/50) = 4 units/hour Work completed by ‘A’ alone in 20 hours = 4 × 20 = 80 units Remaining work = 200 – 80 = 120 units So, efficiency of ‘B’ = 120/10 = 12 units/hour Therefore, combined efficiency of ‘A’ and ‘B’ = 12 + 4 = 16 units/hour So, time taken by ‘A’ and ‘B’ together to complete the work = (200/16) = 12.5 hours
Divide ₹2,800 into three parts in the ratio of 2 : 3 : 5 such that the difference between the largest and smallest part is added to the middle part. W...
The ratio of the pocket money of two persons ‘R’ and ‘S’ is 6:5, respectively. ‘R’ spends 60% of his pocket money while ‘S’ spends 70% o...
Rs. 8,100 was supposed to be distributed among 'X', 'Y', and 'Z' in the ratio of (1/3) : (1/4) : (1/6), respectively. However, due to an error, it was a...
If A:B = 7:6 and B:C = 12:15 respectively, then find the value of (A + C) :(A + B) .
The speeds of the three cars are in the ratio of 2: 3: 6. The ratio of respective time taken by these cars to travel the same distance is:
- Find the fourth proportion of (2k - 5), (k + 1), and (3k + 4). (Note: 'k' is the smallest two-digit prime number.)
A, B and C entered into a partnership by investing in the ratio of 7:4:5. At the end of the year, the total profit is in the ratio of 21:4:10. Find the ...
What is the ratio whose terms differ by 25 and the measure of which is 2/7?
The ratio of the incomes of Vineet and Vidya is 12:5 respectively. Vineet saves 25% of his income while Vidya saves 20% of his income. The sum of their...
Find the third proportional to 16 and 48?
Relevant for Exams:
