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Raju and Ramu can complete a work alone in 24 hours and 30 hours respectively, working 10 hours a day. Every day there are two shits- Morning and Night Shift for 6 and 4 hours respectively. On first day Raju works in Morning shift while Ramu works in Night shift. Next day Ramu works in Morning shift while Raju works in Night shift. They repeat the cycle until the work is completed. Then how many hours does Raju worked in total?
- a)130
- b)136
- c)140
- d)146
- e)Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Raju and Ramu can complete a work alone in 24 hours and 30 hours respe...
Day 1 : 6/240+4/300
Day 2 : 4/240 + 6/300
2 days work : 10/240 + 10/300 = 9/120
2*13 days work = 117/120
remaining work = 3/120
Now Raju’s turn in morning shift
3/120*240/6 =1(completes in his shift)
Total Raju Hour’s = 13*6+13*4+6 =136
Day 2 : 4/240 + 6/300
2 days work : 10/240 + 10/300 = 9/120
2*13 days work = 117/120
remaining work = 3/120
Now Raju’s turn in morning shift
3/120*240/6 =1(completes in his shift)
Total Raju Hour’s = 13*6+13*4+6 =136
Most Upvoted Answer
Raju and Ramu can complete a work alone in 24 hours and 30 hours respe...
Given information:
- Raju can complete the work alone in 24 hours.
- Ramu can complete the work alone in 30 hours.
- They work 10 hours a day.
- There are two shifts - Morning and Night.
- Morning shift lasts for 6 hours.
- Night shift lasts for 4 hours.
- On the first day, Raju works in the Morning shift and Ramu works in the Night shift.
- They alternate shifts every day until the work is completed.
Objective:
Find out the total number of hours Raju worked in completing the work.
Approach:
To solve this problem, we need to determine the number of days it takes for Raju and Ramu to complete the work and calculate the total hours Raju worked.
Calculating the work done per day:
Raju's work rate: 1/24 (1 work in 24 hours)
Ramu's work rate: 1/30 (1 work in 30 hours)
Calculating the total work done in one day:
In one day, the total work done is the sum of the work done by Raju and Ramu.
Total work done in one day = Raju's work + Ramu's work
Total work done in one day = 1/24 + 1/30
Calculating the number of days to complete the work:
Let's assume the number of days required to complete the work is 'n'.
Total work = 1 (complete work)
Total work done in 'n' days = n * (Raju's work + Ramu's work)
1 = n * (1/24 + 1/30)
1 = n * (5/120 + 4/120) (finding a common denominator)
1 = n * (9/120)
1 = n * 3/40 (simplifying the fraction)
1 * 40 = n * 3
40 = n * 3
n = 40/3
Calculating the total hours Raju worked:
In each cycle of two days, Raju works for a total of 10 + 4 = 14 hours.
Since each cycle consists of 2 days, the total number of cycles can be found by dividing the total number of days by 2.
Total number of cycles = n/2
Total hours Raju worked = Total number of cycles * 14
Total hours Raju worked = (40/3)/2 * 14
Total hours Raju worked = (40/3) * 7
Total hours Raju worked = 280/3
Total hours Raju worked = 93 hours and 1/3
Conclusion:
Therefore, Raju worked for a total of 93 hours and 1/3 to complete the work.
- Raju can complete the work alone in 24 hours.
- Ramu can complete the work alone in 30 hours.
- They work 10 hours a day.
- There are two shifts - Morning and Night.
- Morning shift lasts for 6 hours.
- Night shift lasts for 4 hours.
- On the first day, Raju works in the Morning shift and Ramu works in the Night shift.
- They alternate shifts every day until the work is completed.
Objective:
Find out the total number of hours Raju worked in completing the work.
Approach:
To solve this problem, we need to determine the number of days it takes for Raju and Ramu to complete the work and calculate the total hours Raju worked.
Calculating the work done per day:
Raju's work rate: 1/24 (1 work in 24 hours)
Ramu's work rate: 1/30 (1 work in 30 hours)
Calculating the total work done in one day:
In one day, the total work done is the sum of the work done by Raju and Ramu.
Total work done in one day = Raju's work + Ramu's work
Total work done in one day = 1/24 + 1/30
Calculating the number of days to complete the work:
Let's assume the number of days required to complete the work is 'n'.
Total work = 1 (complete work)
Total work done in 'n' days = n * (Raju's work + Ramu's work)
1 = n * (1/24 + 1/30)
1 = n * (5/120 + 4/120) (finding a common denominator)
1 = n * (9/120)
1 = n * 3/40 (simplifying the fraction)
1 * 40 = n * 3
40 = n * 3
n = 40/3
Calculating the total hours Raju worked:
In each cycle of two days, Raju works for a total of 10 + 4 = 14 hours.
Since each cycle consists of 2 days, the total number of cycles can be found by dividing the total number of days by 2.
Total number of cycles = n/2
Total hours Raju worked = Total number of cycles * 14
Total hours Raju worked = (40/3)/2 * 14
Total hours Raju worked = (40/3) * 7
Total hours Raju worked = 280/3
Total hours Raju worked = 93 hours and 1/3
Conclusion:
Therefore, Raju worked for a total of 93 hours and 1/3 to complete the work.
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Raju and Ramu can complete a work alone in 24 hours and 30 hours respectively, working 10hours a day. Every day there are two shits- Morning and Night Shift for 6 and 4 hours respectively. Onfirst day Raju works in Morning shift while Ramu works in Night shift. Next day Ramu works in Morningshift while Raju works in Night shift. They repeat the cycle until the work is completed. Then how many hours does Raju worked in total?a)130b)136c)140d)146e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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ample number of questions to practice Raju and Ramu can complete a work alone in 24 hours and 30 hours respectively, working 10hours a day. Every day there are two shits- Morning and Night Shift for 6 and 4 hours respectively. Onfirst day Raju works in Morning shift while Ramu works in Night shift. Next day Ramu works in Morningshift while Raju works in Night shift. They repeat the cycle until the work is completed. Then how many hours does Raju worked in total?a)130b)136c)140d)146e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
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