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Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?
  • a)
    16 days
  • b)
    12 days
  • c)
    8 days
  • d)
    6 days
  • e)
    18 days
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Ram, who is half as efficient as Krish, will take 24 days to complete ...
Ram takes 24 days to complete the task, if he works alone.
Krish is twice as efficient as Ram is. So, working alone, Krish will take half the time to complete the task.i.e., 12 days.
Ram will complete 1/24th of the task in a day.
Krish will complete 1/12th of the task in a day.
When they work together, they will complete  of the task in a day.
Therefore, when they work together they will complete the task in 8 days.
Choice C is the correct answer.
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Community Answer
Ram, who is half as efficient as Krish, will take 24 days to complete ...

Given Data:

Ram takes 24 days to complete the task alone. Krish is twice as efficient as Ram.

Calculations:

Let's assume that Krish can complete the task in 'x' days. Since Ram is half as efficient as Krish, Ram will take 2x days to complete the task.

Ram's efficiency = 1/2x
Krish's efficiency = 1/x

Ram's work rate + Krish's work rate = Combined work rate
1/2x + 1/x = 1/24 (as Ram alone takes 24 days to complete the task)

Solving the equation:
3/2x = 1/24
x = 36 days (Krish takes 36 days to complete the task alone)

Combined Work Rate:

Ram and Krish's combined work rate:
1/2x + 1/x = 1/24
1/72 + 1/36 = 1/24
3/72 = 1/24
1/24 = 1/24

Therefore, Ram and Krish together will take 8 days to complete the task.

Therefore, the correct answer is option C) 8 days.
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Ram, who is half as efficient as Krish, will take 24 days to complete a task if he worked alone. If Ram and Krish worked together, how long will they take to complete the task?a)16 daysb)12 daysc)8 daysd)6 dayse)18 daysCorrect answer is option 'C'. Can you explain this answer?
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