To 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?Options6.5 days5.5days5 days4 days
Question
To 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?Options6.5 days5.5days5 days4 days
Solution
The problem can be solved in the following steps:
Step 1: We know that the ratio of efficiency of A to B is 3:7. This means that for every 10 units of work done, A does 3 units and B does 7 units.
Step 2: Working together, A and B can complete the work in 10.5 days. This means that the total work is 10.5 * 10 = 105 units (since A and B together do 10 units of work per day).
Step 3: A and B work together for 8 days. In these 8 days, they complete 8 * 10 = 80 units of work. So, the remaining work is 105 - 80 = 25 units.
Step 4: 60% of the remaining work is to be completed by A alone. So, the work to be done by A is 60/100 * 25 = 15 units.
Step 5: The efficiency of A is 3 units per day. So, to complete 15 units of work, A will take 15/3 = 5 days.
So, the answer is 5 days.
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