A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
Question
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
Solution
Sure, let's solve this step by step:
-
First, we need to find out how much work A and B can do in one day. This is called their work rate. A can complete the work in 15 days, so A's work rate is 1/15 of the work per day. Similarly, B's work rate is 1/20 of the work per day.
-
If they work together, we can add their work rates to find out how much work they can do per day together. So, (1/15 + 1/20) = (4/60 + 3/60) = 7/60 of the work per day.
-
If they work together for 4 days, they will complete (7/60 * 4) = 28/60 = 7/15 of the work.
-
The fraction of the work that is left is therefore 1 (the whole work) - 7/15 = 8/15.
So, 8/15 of the work is left.
Similar Questions
A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :8 days10 days12 days15 days
A can do 2/5 of a work in 12 days while B can do 66 2/3% of the same work in 16 days. They work together for 10 days. B alone will complete the remaining work in?Options6498
If A can do a piece of work in 10 days and B can do the same work in 15 days, how long will they take to complete it together?
A and B can do a piece of work in 45 and 40 days respectively. They began the work together but A left after some days and B finished the remaining work in 23 days. A left after
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
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.