Select the correct answerThe ratio of the efficiencies of A, B and C is 4 : 5 : 3. Working together, they can complete that work in 25 days. A and C together will complete 35% of that work in?Options10 days12 days18 days15 days
Question
Select the correct answerThe ratio of the efficiencies of A, B and C is 4 : 5 : 3. Working together, they can complete that work in 25 days. A and C together will complete 35% of that work in?Options10 days12 days18 days15 days
Solution
To solve this problem, we need to follow these steps:
-
First, we need to find the total efficiency of A, B, and C. The ratio of their efficiencies is 4:5:3, which means the total efficiency is 4+5+3 = 12.
-
We know that A, B, and C together can complete the work in 25 days. So, the total work is 25 (days) * 12 (total efficiency) = 300 units.
-
We need to find out how much work A and C can do together. The efficiency of A and C together is 4+3 = 7.
-
We need to find out how many days A and C will take to complete 35% of the work. 35% of the total work is 0.35 * 300 = 105 units.
-
To find out how many days A and C will take to complete 105 units of work, we divide the total work they need to do by their combined efficiency. So, 105 units / 7 (efficiency of A and C) = 15 days.
So, A and C together will complete 35% of the work in 15 days. Therefore, the correct answer is 15 days.
Similar Questions
Select the correct answerThe efficiencies of A, B and C are in the ratio of 5 : 3 : 2. Working together, they can complete a task in 21 hours. In how many hours will B alone complete 40% of that task?Options24283521
Select the correct answerTo do a certain work, the ratio of efficiency of A to that of B is 3 : 7. Working together, they can complete the work in 10.5days. They work together for 8 days. 60% of the remaining work will be completed by A alone in?Options5.5days6.5 days5 days4 days
If A is 25% as efficient as B and can complete a certain work taking 15 days more than the time taken by B, in how many days will both A and B together complete the work?4 days5 days7 days10 days
A and B can do a work in 12 days and 18 days, respectively. They worked together for 4 days after which B was replaced by C and the remaining work was completed by A and C in the next 4 days. In how many days will C alone complete 50% of the same work?
A can finish one-third of a work in 5 days, B can finish 2/5th of the same work in 10 days and C can finish 75% of the same work in 15 days. They work together for 6 days; The remaining work will be finished by B alone in?Options5 days3 days2.5 days1.5 days
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.