Question
A vessel holds 150 liters of a milk and water mixture,
where the quantity of milk is 33.33% less than the quantity of water. From this mixture, 30 liters are removed, and 12 liters of water are then added to the vessel. What is the ratio of water to milk in the vessel after these changes?Solution
Let the quantity of water in the vessel be '3y' litres. Quantity of milk in the vessel = (2/3) X 3y = '2y' litres ATQ, 3y + 2y = 150 Or, 5y = 150 So, 'y' = 30 Final quantity of milk = 2y - 30 X (2/5) = 60 - 12 = 48 litres Final quantity of water = 3y - 30 X (3/5) + 12 =90 - 18 + 12 = 84 litres Therefore, required ratio = 84:48 = 7:4
X, Y, and Z alone can complete a language translation in 60, 90, and 36 days respectively. They started working together, but after 5 days, Z left the j...
If a group of 12 boys and 18 girls together can complete a task in 24 days, and a team of 6 girls alone can finish the same task in 96 days, how long wi...
A can do a piece of work in 12 days, while B alone can do it in 18 days. They work together for 6 days and the rest of the work is completed by C...
‘A’ can do a piece of work in 12 days. ‘B’ can do 70% of the same work in 30 days. If they work together for the entire time and get paid Rs.150...
P, Q, and R can do a project individually in 10, 25, and 20 days. P and Q begin the project, but after 2 days, P is replaced by R. How many more days wi...
P, Q, and R can complete a work in 12 days. 15 days and 30 days, respectively, working alone. How soon can the work be completed if Q is assisted by P a...
Working alone, 'C' can complete a job in 30 days. 'D' takes 20% less time than 'C' to finish the same job. Calculate the percentage of work done by 'C' ...
40 men are engaged to dig a 4 km long drainage channel. After working 12 days, only 1/2 of the work is done. Then 8 more men are employed. Find the numb...
Ajay and Vijay can finish a task in 9 days working together. Charu, who is twice as efficient as Vijay, can complete the task alone in 18 days. If Ajay ...
‘X’ and ‘Y’ can do a task together in 15 days. If ‘X’ alone takes 25 days to complete it, then how much time will ‘Y’ take to finish the...
Relevant for Exams:
