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Rima can do a work in 1 day and Bhavik can do the same work in 20 hours. In how much time they will finish the work together?
- a)100/7 hours
- b)100/11 hours
- c)120/7 hours
- d)120/11 hours
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Rima can do a work in 1 day and Bhavik can do the same work in 20 hour...
A's work/day = 1/24
B's work/day = 1/20
Work done by A and B in 1 days = 1/24 + 1/20 = 11/120
Time taken for 1 complete work = 120/11 hours
Hence, they will complete the work in 120/11 hours.
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Community Answer
Rima can do a work in 1 day and Bhavik can do the same work in 20 hour...
Understanding the Problem
To determine how long Rima and Bhavik will take to finish the work together, we first need to understand their individual work rates.
Work Rates
- Rima's Work Rate: Rima can complete the work in 1 day, which is equivalent to 24 hours. Therefore, her work rate is:
- Work Rate = 1 work / 24 hours = 1/24 work per hour.
- Bhavik's Work Rate: Bhavik can complete the same work in 20 hours. Thus, his work rate is:
- Work Rate = 1 work / 20 hours = 1/20 work per hour.
Combined Work Rate
Now, we can find their combined work rate by adding their individual work rates:
- Combined Work Rate = Rima's Work Rate + Bhavik's Work Rate
= 1/24 + 1/20
To add these fractions, we need a common denominator. The least common multiple of 24 and 20 is 120.
- Convert Rima's work rate:
- (1/24) = 5/120
- Convert Bhavik's work rate:
- (1/20) = 6/120
Now, add the two rates:
- Combined Work Rate = 5/120 + 6/120 = 11/120 work per hour.
Calculating Total Time
To find the total time they will take to complete 1 work together, we use the formula:
- Total Time = Total Work / Combined Work Rate
= 1 work / (11/120 work per hour)
= 120/11 hours.
Thus, the time they will take to finish the work together is 120/11 hours, which corresponds to option 'D'.
To determine how long Rima and Bhavik will take to finish the work together, we first need to understand their individual work rates.
Work Rates
- Rima's Work Rate: Rima can complete the work in 1 day, which is equivalent to 24 hours. Therefore, her work rate is:
- Work Rate = 1 work / 24 hours = 1/24 work per hour.
- Bhavik's Work Rate: Bhavik can complete the same work in 20 hours. Thus, his work rate is:
- Work Rate = 1 work / 20 hours = 1/20 work per hour.
Combined Work Rate
Now, we can find their combined work rate by adding their individual work rates:
- Combined Work Rate = Rima's Work Rate + Bhavik's Work Rate
= 1/24 + 1/20
To add these fractions, we need a common denominator. The least common multiple of 24 and 20 is 120.
- Convert Rima's work rate:
- (1/24) = 5/120
- Convert Bhavik's work rate:
- (1/20) = 6/120
Now, add the two rates:
- Combined Work Rate = 5/120 + 6/120 = 11/120 work per hour.
Calculating Total Time
To find the total time they will take to complete 1 work together, we use the formula:
- Total Time = Total Work / Combined Work Rate
= 1 work / (11/120 work per hour)
= 120/11 hours.
Thus, the time they will take to finish the work together is 120/11 hours, which corresponds to option 'D'.
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Rima can do a work in 1 day and Bhavik can do the same work in 20 hours. In how much time they will finish the work together?a)100/7 hoursb)100/11 hoursc)120/7 hoursd)120/11 hoursCorrect answer is option 'D'. Can you explain this answer?
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