alone can finish a piece of work in 12 days and b alone can do it in 15 days how much time will be taken if both a and b work together
Answers
Answered by
0
Answer:
A can do a piece of work in 12 days and B in 15 days. ∴ the correct answer is 6 days.
Step-by-step explanation:
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Answered by
1
Answer:
Both can finish the work in 6 \frac{2}{3} 6
3
2
days
Step-by-step explanation:
Time taken by A to finish the work = 12 days
Time taken by B to finish the work = 15 days
Work done by A in 1 day = ½
Work done by B in 1 day = 1/15
Work done by (A+B) in 1 day = ( \frac{1}{12} + \frac{1}{15} ) = \frac{9}{30} = \frac{3}{20} (
12
1
+
15
1
)=
30
9
=
20
3
Time taken by (A + B) to finish the work \frac{20}{3}
3
20
days, i.e., 6 \frac{2}{3} 6
3
2
days.
Hence, both can finish the work in
6 \frac{2}{3} 6
3
2
days.
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