A is thrice as efficient as B. A started working and after 4 days he w

1.	A is thrice as efficient as B. A started working and after 4 days he was replaced by B. B then worked for 15 days and left. If A and B together finished 75% of the total work, in how many days B alone can finish the whole work ?1). 272). 453). 244). 36
Answer» Solution Rate of doing work by A and B is $\frac{1}{A} $ and $\frac{1}{B}$ $\frac{1}{A} $ =$\frac{3}{B}$ In 4 days A would have completed $\frac{4}{A}$ or $\frac{12}{B}$ AMOUNT of work In 15 days B would have completed $\frac{15}{B}$ amount of work Since total work done was 75%. $\frac{12}{B} + \frac{15}{B} = \frac{3}{4}$ $\frac{27}{B} = \frac{3}{4}$ $\frac{1}{B} = \frac{1}{36}$ B alone would TAKE 36 days to COMPLETE the work. Option D is the correct answer.

A is thrice as efficient as B. A started working and after 4 days he was replaced by B. B then worked for 15 days and left. If A and B together finished 75% of the total work, in how many days B alone can finish the whole work ?1). 272). 453). 244). 36

Answer»

Solution

Rate of doing work by A and B is $\frac{1}{A} $ and $\frac{1}{B}$
$\frac{1}{A} $ =$\frac{3}{B}$
In 4 days A would have completed $\frac{4}{A}$ or $\frac{12}{B}$ AMOUNT of work
In 15 days B would have completed $\frac{15}{B}$ amount of work
Since total work done was 75%.
$\frac{12}{B} + \frac{15}{B} = \frac{3}{4}$
$\frac{27}{B} = \frac{3}{4}$
$\frac{1}{B} = \frac{1}{36}$
B alone would TAKE 36 days to COMPLETE the work.
Option D is the correct answer.

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A is thrice as efficient as B. A started working and after 4 days he was replaced by B. B then worked for 15 days and left. If A and B together finished 75% of the total work, in how many days B alone can finish the whole work ?1). 272). 453). 244). 36

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