A and B can do a piece of work in 6 days and 4 days respectively. A started the work at it for 2 days and then was joined by B. Find the total time taken to complete work.
I will mark as branliest
Answers
Answered by
1
Answer:
3 3/5 days
Step-by-step explanation:
Every day A can do 1/6 of the piece of work and Every day B can day 1/4 of the work
Since A worked 2 days he finished 2 x 1/6 = 1/3
Therefore, when B starts working with A they only have to finish 2/3 of the paper. When they work together we combine there rate to work alone.
1/6 + 1/4 = 5/12
This means that every day when they work together they can finish 5/12 of the work
Since they have to finish 2/3 of the work we can write the equation, where x is the time it takes (in days) to finish the piece of work
2/3= 5x/12
Solving this equation you get 1 3/5 of a day
Since A already worked for 2 days, the total time worked is 2 + 1 3/5 = 3 3/5
Thus getting 3 and 3/5 days
Similar questions