A alone can do a work in 4 days and B alone can do a work in 6 days. How much time would they take if they work together?
Answers
A alone can do a work in 4 days and B alone can do a work in 6 days. How much time would they take if they work together?
Answer: they will take 5 days
The number of days taken by two individuals is given in the question and we have to find the total number of days they will take to complete work together.
Given:
Time taken by A = 4 days
Time taken by B = 6 days
Solution:
1 day's work of A = 1/4
1 day's work of B = 1/6
If they work together, there one day work would be:
➝ 1/4 + 1/6
➝ 4 + 6/24
➝ 10/24
➝ 5/12
So, In one day A and B can complete 5/12 of the work, So total number of days taken by them to complete together:
2.4 days
Step-by-step explanation:
✡Things To Remember✡
◼ If rate of working of a : b is is to be then the ratio of times taken by them to finish is B : a.
◼ If A , B , C work together then the money paid to them is divided among them is the ratio of their one day's work.
◼ If A can do a piece of work in "n" days then the work done by a in one day is '1/n"