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M works twice as fast as N. If N can complete a piece of work independently in 36 days. Find in how many days M and N working together can complete the work?
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M works twice as fast as N. If N can complete a piece of work independ...
Working Together Efficiency:
To find out how many days M and N working together can complete the work, we first need to determine their combined efficiency.
Efficiency Calculation:
If N can complete a piece of work independently in 36 days, then N's efficiency = 1/36 of the work per day.
Since M works twice as fast as N, M's efficiency = 2*(1/36) = 1/18 of the work per day.
Therefore, combined efficiency of M and N working together = 1/36 + 1/18 = 3/36 = 1/12 of the work per day.
Days to Complete the Work:
To calculate the number of days M and N working together can complete the work, we use the formula:
Number of days = Total work / Combined efficiency
Given that N can complete the work independently in 36 days, the total work = 36 days.
Therefore, number of days M and N working together can complete the work = 36 days / (1/12) = 36 * 12 = 432 days.
Conclusion:
M and N working together can complete the work in 432 days.
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M works twice as fast as N. If N can complete a piece of work independently in 36 days. Find in how many days M and N working together can complete the work?
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