Question
- Anita, Indu and Geeta can do a piece of work in 18 days, 27 days and 36 days respectively. They start working together. After working for 4 days, Anita goes away and Indu leaves 7 days before the work is finished. Only Geeta remains at work from beginning till end. In how many days was the whole work done?
Answer: Option B
• The given problem is based on the concept of Work and Time.
• Work is defined as the amount of effort put in by a person to complete a given task.
• Time is the measure of duration or the interval between two events.
• The formula for calculating the work done by three persons working together is
Total Work = 1/ (1/A + 1/B + 1/C)
• Here, A, B and C represents the time taken by each of the three persons to complete the given task.
• In the given problem, A = 18 days, B = 27 days and C= 36 days.
• Therefore, applying the formula,
Total Work = 1/ (1/18 + 1/27 + 1/36)
Total Work = 16 days
• Thus, the whole work was completed in 16 days.
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• The given problem is based on the concept of Work and Time.
• Work is defined as the amount of effort put in by a person to complete a given task.
• Time is the measure of duration or the interval between two events.
• The formula for calculating the work done by three persons working together is
Total Work = 1/ (1/A + 1/B + 1/C)
• Here, A, B and C represents the time taken by each of the three persons to complete the given task.
• In the given problem, A = 18 days, B = 27 days and C= 36 days.
• Therefore, applying the formula,
Total Work = 1/ (1/18 + 1/27 + 1/36)
Total Work = 16 days
• Thus, the whole work was completed in 16 days.
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4/18 +(x-7)/27+x/36 = 1
therefore x=16 days