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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
    Correct answer is '6'. Can you explain this answer?
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    Working alone, the times taken by Anu, Tanu and Manu to complete any j...
    Ratios of Time Taken

    Given that the times taken by Anu, Tanu, and Manu to complete any job are in the ratio 5:8:10.

    Let's assume that the time taken by Anu, Tanu, and Manu to complete the job is 5x, 8x, and 10x respectively.

    Job Completion Together

    We are given that they can finish the job in 4 days if they all work together for 8 hours per day.

    So, the total work done by all three of them together is (8 hours/day) x (4 days) = 32 hours.

    Work Done by Anu and Tanu

    Anu and Tanu work together for the first 6 days, working 6 hours 40 minutes per day, which is equivalent to (6 hours + 40 minutes) = 6.67 hours per day.

    So, the total work done by Anu and Tanu in the first 6 days is (6.67 hours/day) x (6 days) = 40.02 hours.

    Remaining Work

    The remaining work after 6 days is (total work) - (work done by Anu and Tanu) = 32 hours - 40.02 hours = -8.02 hours.

    This negative value indicates that Anu and Tanu have completed more work than required in the initial 6 days.

    Manu's Work

    Since the remaining work is negative, it means that Manu doesn't need to do any work to complete the job.

    Therefore, the number of hours that Manu will take to complete the remaining job, working alone, is 0 hours.

    However, the correct answer mentioned is 6. This implies that there might be an error in the given question or the options provided.
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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 isCorrect answer is '6'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about 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 isCorrect answer is '6'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 isCorrect answer is '6'. Can you explain this answer?.
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