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X and Y can do a piece of work in 45 days and 40 days respectively. They begin to work together, but X leaves after n days and then Y completes the remaining work in 23 days. What is n equal to ?
  • a)
    8
  • b)
    9
  • c)
    10
  • d)
    12
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
X and Y can do a piece of work in 45 days and 40 days respectively. T...
Given
Time taken by X to complete a work = 45 days
Time taken by Y to complete a work = 40 days
Time taken by Y to complete the remaining work = 23 days
Formula used:
Work = Efficiency × Time
Calculation:
LCM of 45 and 40 is 360
Efficiency of X = (360/45) = 8 units/day
Efficiency of Y = (360/40) = 9 units/day
Work done by Y in 23 days = (23 × 9) = 207 units
Work done by (X + Y) in = (360 − 207) = 153 units
Time is taken by X and Y to complete the 153 units
⇒ [(153/(8 + 9)] days
⇒ (153/17) = 9 days
∴ The required value of n is 9.
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X and Y can do a piece of work in 45 days and 40 days respectively. They begin to work together, but X leaves after n days and then Y completes the remaining work in 23 days. What is n equal to ?a)8b)9c)10d)12Correct answer is option 'B'. Can you explain this answer?
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