Question
Q can do a work in 15 days and R can do the two-third
work done by P and Q together in a day. If R completes the work in 18 days, how many days will it take P to complete the work with R?Solution
Q’s one day work = 1/15 R’s one day work =1/18 Given that R’s one day work = (2 )/3 × (P+Q) ∴ P+Q’s one day work = 1/18 × 3/2 = 1/12 ∴ P’s one day work = 1/12-1/15 = 1/60 Hence, P+R’s one day work = 1/60+1/18 = 13/180 ∴ No. of days taken by P and R to complete the work = 180/13 = `13 11/13` days Alternate Solution: Q R 15 18 LCM = 90 units Eff 6 : 5 R = 2/3(P+Q) 5 = 2/3(P+6) 7.5 = P+6 Hence eff. of P = 1.5 units So P & R together can do this job in =90/(1.5+5) = 90/6.5 = 90/(13/2) = 180/13 days
If A:B:C = 3:5:7, then find the ratio of (A + 2C) : (4B − C)
Three containers have their volumes in the ratio 3 : 4: 5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio...
In a T20 match, the total runs scored by five batsmen is 400. The ratio of runs scored by Williamson to Taylor is 11:9. If 2/5th of the total runs are s...
- Rohit contributed 84 runs in a game, which accounted for 60% of the team’s total score. If the team received 15 runs as extras, then how many runs were s...
The proportion of salaries of Hema, Clement, and Gaurav is 3: 5: 7, respectively, if Gaurav is getting Rs.1140 more from Hema. What is Clement's salary?...
Rs. 2,400 is divided among P, Q, and R in the ratio 3:7:5. Find the difference between the amount received by P and Q together and Q and R together.
Out of total number of people in an office, 52% are males. Ratio of number of married to that of unmarried people in the office is 3:2 while ratio of nu...
- The ratio of the number of fiction to non-fiction books in a library is 4:7. If 16 more books of each type are added, the ratio becomes 8:13. Find the numb...
- If 72% of (P - Q) is equal to 30% of 60% of (P + Q), then find the value of Q:P.
The ratio of prices listed for a bag and that of a belt is 2:1. In a sale, there was a discount of 40% on the belt. At the time of checkout, Ankit notic...