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A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?
- a)56
- b)48
- c)36
- d)58
Correct answer is option 'B'. Can you explain this answer?
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A and B can finish a work in 16 days while A alone can do the same wor...
Solution:
First, let's determine the work done by A and B together in one day:
A and B together can finish the work in 16 days, so their combined work rate per day is 1/16.
Work rate of A + Work rate of B = Combined work rate
Let the work rate of A be x and work rate of B be y.
x + y = 1/16
Given that A alone can complete the work in 24 days:
A's work rate = 1/24
Now, we can write the equation for A's work rate:
x = 1/24
We can substitute x = 1/24 into the first equation to find the work rate of B:
1/24 + y = 1/16
y = 1/16 - 1/24
y = 3/48 - 2/48
y = 1/48
Therefore, B's work rate is 1/48, which means B alone can complete the work in 48 days.
So, the correct answer is option B) 48.
First, let's determine the work done by A and B together in one day:
A and B together can finish the work in 16 days, so their combined work rate per day is 1/16.
Work rate of A + Work rate of B = Combined work rate
Let the work rate of A be x and work rate of B be y.
x + y = 1/16
Given that A alone can complete the work in 24 days:
A's work rate = 1/24
Now, we can write the equation for A's work rate:
x = 1/24
We can substitute x = 1/24 into the first equation to find the work rate of B:
1/24 + y = 1/16
y = 1/16 - 1/24
y = 3/48 - 2/48
y = 1/48
Therefore, B's work rate is 1/48, which means B alone can complete the work in 48 days.
So, the correct answer is option B) 48.
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A and B can finish a work in 16 days while A alone can do the same work in 24 days. In how many days B alone will complete the work?a)56b)48c)36d)58Correct answer is option 'B'. Can you explain this answer?
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