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A is thrice as efficient as workman as B and therefore is able to finish a job in 40 days less than B to complete a work.Working together, they can do it in:
- a)15 days
- b)18 days
- c)24 days
- d)12 days
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A is thrice as efficient as workman as B and therefore is able to fini...
Ratio of times by A and B = 1 : 3
The time difference is (3 – 1) = 2 days while B takes 3 days and A takes 1 day.
If difference of time is 2 days, B takes 3 days
If difference of time is 40 days, B takes
= 60 days
So, A takes 20 days to do the work.
A's 1 day's work = 1/20
B's 1 day's work = 1/60
(A + B)'s 1 day's work =
∴ A and B together can do the work in 15 days.
The time difference is (3 – 1) = 2 days while B takes 3 days and A takes 1 day.
If difference of time is 2 days, B takes 3 days
If difference of time is 40 days, B takes
= 60 daysSo, A takes 20 days to do the work.
A's 1 day's work = 1/20
B's 1 day's work = 1/60
(A + B)'s 1 day's work =
∴ A and B together can do the work in 15 days.
Most Upvoted Answer
A is thrice as efficient as workman as B and therefore is able to fini...
Given information:
- A is three times as efficient as B.
- A takes 40 days less than B to complete a job.
- We need to find the number of days it takes for A and B to complete the job together.
Let's assume that B takes x days to complete the job.
Efficiency of A and B:
- Since A is three times as efficient as B, we can say that A completes 3 units of work in the same time it takes B to complete 1 unit of work.
- Therefore, the efficiency ratio of A to B is 3:1.
Time taken by A and B:
- If A completes the job in 40 days less than B, then A takes x - 40 days to complete the job.
- B takes x days to complete the job.
Working together:
- When A and B work together, their total efficiency is the sum of their individual efficiencies.
- The total efficiency of A and B working together is 3 + 1 = 4 units of work per day.
Calculating the time taken when A and B work together:
- The work is divided into 4 equal parts, as the total efficiency is 4 units of work per day.
- Since A and B together can complete 4 units of work in one day, it will take them 1/4th of a day to complete 1 unit of work.
- Therefore, A and B together can complete the entire job in x - 40 days * 1/4 = (x - 40)/4 days.
Comparing the time taken by A and B working together to complete the job:
- We need to find the value of x such that (x - 40)/4 = x.
- Solving this equation, we get x = 40.
Thus, it takes 40 days for B to complete the job on his own, and when A and B work together, they can complete the job in (40 - 40)/4 = 0/4 = 0 days.
Therefore, the correct answer is option 'A' - 15 days.
- A is three times as efficient as B.
- A takes 40 days less than B to complete a job.
- We need to find the number of days it takes for A and B to complete the job together.
Let's assume that B takes x days to complete the job.
Efficiency of A and B:
- Since A is three times as efficient as B, we can say that A completes 3 units of work in the same time it takes B to complete 1 unit of work.
- Therefore, the efficiency ratio of A to B is 3:1.
Time taken by A and B:
- If A completes the job in 40 days less than B, then A takes x - 40 days to complete the job.
- B takes x days to complete the job.
Working together:
- When A and B work together, their total efficiency is the sum of their individual efficiencies.
- The total efficiency of A and B working together is 3 + 1 = 4 units of work per day.
Calculating the time taken when A and B work together:
- The work is divided into 4 equal parts, as the total efficiency is 4 units of work per day.
- Since A and B together can complete 4 units of work in one day, it will take them 1/4th of a day to complete 1 unit of work.
- Therefore, A and B together can complete the entire job in x - 40 days * 1/4 = (x - 40)/4 days.
Comparing the time taken by A and B working together to complete the job:
- We need to find the value of x such that (x - 40)/4 = x.
- Solving this equation, we get x = 40.
Thus, it takes 40 days for B to complete the job on his own, and when A and B work together, they can complete the job in (40 - 40)/4 = 0/4 = 0 days.
Therefore, the correct answer is option 'A' - 15 days.
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A is thrice as efficient as workman as B and therefore is able to finish a job in 40 days less than B to complete a work.Working together, they can do it in:a)15 daysb)18 daysc)24 daysd)12 daysCorrect answer is option 'A'. Can you explain this answer?
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