a and b together can complete a work in 12 days. if a is two times as good as a workman as b in how many days will a alone finish the work
Answers
Answer:
24
Step-by-step explanation:
12×2=24
2 people =12
1 person = 24
Answer:
18 days.
Step-by-step explanation:
Let us consider the number of days required for A to do the work be x
Given, A is twice good a workman as B.
S, the number of days required for B to do theveork should be 2x (the more efficient you are, the less the time you take).
So, now, A's 1 day's work is 1/x.
Similarly, B's 1 day's work is 1/2x.
So, now A and B can together complete 1/x + 1/2x amount of work in 1 day.
Now, it is given that they can do a work together in 12 days.
So, from here, we can see that in 1 day, A and B can do 1/12 part of their work.
So, 1/x + 1/2x = 1/12
So, (2 + 1)/2x = 1/12
So, 3/2x = 1/12
So, from here we see that x = 18.
So, A alone takes 18 days to complete the work.