A and B can finish a piece of work in 6 days and 4 days respectively. A started the work, and after 2 days, B also joined the work. Find the total time taken by both of them to finish the work.
(Explain the procedure and solve using unitary method; No spam; 16 points)
Answers
Answer:
18/5 days
Step-by-step explanation:
Hi,
Given that A can finish a piece of work in 6 days,
So, in one day A will do 1/6 th of work,
Given that B can finish a piece of work in 4 days,
So, in one day B will do 1/4 th of work,
Given that initially A has worked for 2 days,
So A will complete 2*1/6 = 1/3 rd of work
Remaining Work = 2/3 rd of work.
If A and B works together,
In 1 day, bot A and B could do = (1/6 + 1/4) of work
= 5/12 th of work
So, 2/3 rd of work requires 2/3*1/(5/12)
= 8/5 days,
Total time , to finish the work
= Time A working alone an Time taken when both A and B are
working together
= 2 + 8/5
= 18/5 days
Hope, it helps !
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paglu1
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A and B can finish a piece of work in 6 days and 4 days respectively. A started the work and worked for 2 days. He was then joined by B. Find the total time taken to finish the work.
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Brainly.in
What is your question?
madhokyash75
paglu1 avatar
paglu1
03.03.2018
Math
Secondary School
+5 pts
Answered
A and B can finish a piece of work in 6 days and 4 days respectively. A started the work and worked for 2 days. He was then joined by B. Find the total time taken to finish the work.
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Answer:
18/5 days
Step-by-step explanation:
Hi,
Given that A can finish a piece of work in 6 days,
So, in one day A will do 1/6 th of work,
Given that B can finish a piece of work in 4 days,
So, in one day B will do 1/4 th of work,
Given that initially A has worked for 2 days,
So A will complete 2*1/6 = 1/3 rd of work
Remaining Work = 2/3 rd of work.
If A and B works together,
In 1 day, bot A and B could do = (1/6 + 1/4) of work
= 5/12 th of work
So, 2/3 rd of work requires 2/3*1/(5/12)
= 8/5 days,
Total time , to finish the work
= Time A working alone an Time taken when both A and B are
working together
= 2 + 8/5
= 18/5 days
Hope, it helps !