A and B can finish a peice of work in 16 days and 12 days respectively. A started the work amd worked at it for 2 days . he then was joined by B. find the total time taken to finish the work
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Step 1: Evaluate the word problems on time and work.
Given,
A and B can finish a piece of work in 16 days and 12 days respectively.
Work done by A in one day=
16
1
Work done by B in one day=
12
1
Work done by A in 2 days=2×
16
1
=
8
1
Let A and B worked together for x days to complete the remaining work.
⇒
8
1
+x(
16
1
+
12
1
)=1
⇒x×
48
7
=
8
7
⇒x=6
Hence, the total time taken to finish the work is (2 + 6) days = 8 days
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