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A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 4 days. How long B alone would take to do the whole work? (SSC CHSL 2017)
- a)12.5 days
- b)100 days
- c)22.5 days
- d)35 days
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A does 80% of a work in 20 days. He then calls in B and they together ...
(Because remaining 20% is done in 4 days by A and B).
∴ B can complete the work in 100 days.
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A does 80% of a work in 20 days. He then calls in B and they together ...
Let's assume that the total work is represented by 100 units.
Given that A does 80% of the work in 20 days, we can calculate A's daily work rate:
A's work = (80/100) * 100 = 80 units
A's daily work rate = 80 units / 20 days = 4 units/day
To find out how much work is left after A completes 80% of the work, we subtract it from the total work:
Remaining work = 100 units - 80 units = 20 units
Now, let's consider the work done by A and B together in the 4 days they work together. We know that A's daily work rate is 4 units/day, so in 4 days, A completes:
A's work = 4 units/day * 4 days = 16 units
To find out how much work is left after A and B work together for 4 days, we subtract the work done by A and B from the remaining work:
Remaining work = 20 units - 16 units = 4 units
Since A and B together finish the remaining work in 4 days, we can calculate their combined daily work rate:
Combined daily work rate = Remaining work / Number of days
Combined daily work rate = 4 units / 4 days = 1 unit/day
Now, we can calculate B's daily work rate by subtracting A's daily work rate from the combined daily work rate:
B's daily work rate = Combined daily work rate - A's daily work rate
B's daily work rate = 1 unit/day - 4 units/day = -3 units/day
Since B's daily work rate is negative, it means that B is undoing the work done by A. Therefore, B cannot complete the work alone.
Hence, the correct answer is option 'B' - 100 days.
Given that A does 80% of the work in 20 days, we can calculate A's daily work rate:
A's work = (80/100) * 100 = 80 units
A's daily work rate = 80 units / 20 days = 4 units/day
To find out how much work is left after A completes 80% of the work, we subtract it from the total work:
Remaining work = 100 units - 80 units = 20 units
Now, let's consider the work done by A and B together in the 4 days they work together. We know that A's daily work rate is 4 units/day, so in 4 days, A completes:
A's work = 4 units/day * 4 days = 16 units
To find out how much work is left after A and B work together for 4 days, we subtract the work done by A and B from the remaining work:
Remaining work = 20 units - 16 units = 4 units
Since A and B together finish the remaining work in 4 days, we can calculate their combined daily work rate:
Combined daily work rate = Remaining work / Number of days
Combined daily work rate = 4 units / 4 days = 1 unit/day
Now, we can calculate B's daily work rate by subtracting A's daily work rate from the combined daily work rate:
B's daily work rate = Combined daily work rate - A's daily work rate
B's daily work rate = 1 unit/day - 4 units/day = -3 units/day
Since B's daily work rate is negative, it means that B is undoing the work done by A. Therefore, B cannot complete the work alone.
Hence, the correct answer is option 'B' - 100 days.
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A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 4 days. How long B alone would take to do the whole work? (SSC CHSL 2017)a)12.5 daysb)100 daysc)22.5 daysd)35 daysCorrect answer is option 'B'. Can you explain this answer?
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