### Question of the Day | Quant #36

# Question of the Day

# Quant #36

Ques. B is twice efficient as A and A can do a piece of work in 15 days. A started the work and after a few days B joined him. They completed the work in 11 days, from the starting. For how many days did they work together?

1) 1 day

2) 2 day

3) 6 day

4) 5 day

Option (2)

A can do a piece of work in 15 days

B is twice as efficient as A

Assuming 15 units of work is to be done

A does 1 unit per day and B does 2 units per day.

For the first x days, A worked alone and hence work done is 1 * x = x units

For the next (11 – x) days, they do 33 – 3x

33 – 3x + x = 15

x = 9

Thus, A worked alone for 9 days

A and B worked together for 2 days

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