3. A can do a piece of work in 6 days. B is 50% more efficient. The number of days it take B to do work is
A. 9
B. 3
C. 2
D. 4
Is the answer 4? If so, how did you get your answer?
3/2 as productive means it takes 2/3 as much time. So, (D).
What do you mean?
Looks like you need to study what 50% more efficient means. It means B can do 50% more work than A in a given time.
50% = 0.5
So, 50% more means 1.5 times as much. That's 3/2.
Think about it. If I do twice as much as you, it takes half (1/2) as long.
If I do 3/2 as much as you, it takes 1 /(3/2) = 2/3 as long.
To find out the number of days it takes for B to do the work, we need to compare the efficiencies of A and B.
Given that A can do the work in 6 days, it means that A completes 1/6th of the work per day.
Since B is 50% more efficient than A, it means that B completes 1.5 times the work that A does in a day.
Therefore, B completes 1.5/6 or 1/4th of the work per day.
To find out the number of days it takes for B to complete the work, we can calculate the reciprocal of B's efficiency per day, which is 4.
So the correct answer is D. 4 days.