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Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio 5 : 8 : 10. They accept a job which they can finish in 4 days if they all work together for 8 hours per day. However, Anu and Tanu work together for the first 6 days, working 6 hours 40 minutes per day. Then, the number of hours that Manu will take to complete the remaining job working alone is
[2022]
Correct answer is '6'. Can you explain this answer?
Most Upvoted Answer
Working alone, the times taken by Anu, Tanu and Manu to complete any j...
Given Information:
- Anu : Tanu : Manu = 5 : 8 : 10
- Together they can finish the job in 4 days working 8 hours per day

Solution:

Step 1: Work Rate Calculation
- Let the work rate of Anu, Tanu, and Manu be 5x, 8x, and 10x respectively
- Combined work rate = 5x + 8x + 10x = 23x
- As they can finish the job in 4 days working 8 hours per day,
Total work = 4 * 8 * 23x = 736x
- So, individual work rates:
Anu = 5x, Tanu = 8x, Manu = 10x

Step 2: Work done by Anu and Tanu in 6 days
- Anu and Tanu work together for 6 days, working 6 hours 40 minutes per day
- Work done by Anu and Tanu in 1 day = 5x + 8x = 13x
- Work done by Anu and Tanu in 6 days = 6 * 6 2/3 * 13x = 520x
- Remaining work = Total work - Work done by Anu and Tanu = 736x - 520x = 216x

Step 3: Time taken by Manu to complete the remaining work
- Manu's work rate = 10x
- Time taken by Manu to complete the remaining work = 216x / 10x = 21.6 hours
- As Manu works alone, the time should be rounded up to the next integer, so Manu will take 22 hours to complete the remaining work

Answer:
- The number of hours that Manu will take to complete the remaining job working alone is 22 hours.
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Community Answer
Working alone, the times taken by Anu, Tanu and Manu to complete any j...
Let the time taken by Anu, Tanu and Manu be 5x, 8x and 10x hours.
Total work = LCM(5x, 8x, 10x) = 40x
Anu can complete 8 units in one hour
Tanu can complete 5 units in one hour
Manu can complete 4 units in one hour
It is given, three of them together can complete in 32 hours.
32(8 + 5 + 4) = 40x
X = 68/5
It is given,
Anu and Tanu work together for the first 6 days, working 6 hours 40 minutes per day, i.e. 36 + 4 = 40 hours
40(8 + 5) + y(4) = 40x
4y = 24
y = 6
Manu alone will complete the remaining work in 6 hours.
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Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio 5 : 8 : 10. They accept a job which they can finish in 4 days if they all work together for 8 hours per day. However, Anu and Tanu work together for the first 6 days, working 6 hours 40 minutes per day. Then, the number of hours that Manu will take to complete the remaining job working alone is[2022]Correct answer is '6'. Can you explain this answer?
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