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Mahesh and Umesh can complete a work in 10 days and 15 days respectively. Umesh starts the work and after 5 days Mahesh also joins him. In all, the work would be completed in what time?
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Mahesh and Umesh can complete a work in 10 days and 15 days respective...
Given Data:
- Mahesh can complete the work in 10 days.
- Umesh can complete the work in 15 days.
Calculation:
Let the total work be represented as 1 unit.
- Mahesh's one day work = 1/10
- Umesh's one day work = 1/15
Working together:
- In one day, Mahesh and Umesh's combined work = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6
Umesh's work in 5 days:
- In 5 days, Umesh completes = 5 * (1/15) = 1/3 of the work
- Remaining work = 1 - 1/3 = 2/3
Remaining work:
- Umesh and Mahesh together complete 1/6 of the work in one day.
- Time taken to complete 2/3 of the work = (2/3) / (1/6) = 4 days
Total time taken:
- Umesh started the work 5 days before Mahesh joined.
- Total time taken = 5 days (Umesh alone) + 4 days (Umesh and Mahesh) = 9 days
Therefore, the work would be completed in 9 days.
- Mahesh can complete the work in 10 days.
- Umesh can complete the work in 15 days.
Calculation:
Let the total work be represented as 1 unit.
- Mahesh's one day work = 1/10
- Umesh's one day work = 1/15
Working together:
- In one day, Mahesh and Umesh's combined work = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6
Umesh's work in 5 days:
- In 5 days, Umesh completes = 5 * (1/15) = 1/3 of the work
- Remaining work = 1 - 1/3 = 2/3
Remaining work:
- Umesh and Mahesh together complete 1/6 of the work in one day.
- Time taken to complete 2/3 of the work = (2/3) / (1/6) = 4 days
Total time taken:
- Umesh started the work 5 days before Mahesh joined.
- Total time taken = 5 days (Umesh alone) + 4 days (Umesh and Mahesh) = 9 days
Therefore, the work would be completed in 9 days.
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Mahesh and Umesh can complete a work in 10 days and 15 days respectively. Umesh starts the work and after 5 days Mahesh also joins him. In all, the work would be completed in what time?
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Mahesh and Umesh can complete a work in 10 days and 15 days respectively. Umesh starts the work and after 5 days Mahesh also joins him. In all, the work would be completed in what time? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about Mahesh and Umesh can complete a work in 10 days and 15 days respectively. Umesh starts the work and after 5 days Mahesh also joins him. In all, the work would be completed in what time? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mahesh and Umesh can complete a work in 10 days and 15 days respectively. Umesh starts the work and after 5 days Mahesh also joins him. In all, the work would be completed in what time?.
Mahesh and Umesh can complete a work in 10 days and 15 days respectively. Umesh starts the work and after 5 days Mahesh also joins him. In all, the work would be completed in what time? for SSC CHSL 2025 is part of SSC CHSL preparation. The Question and answers have been prepared according to the SSC CHSL exam syllabus. Information about Mahesh and Umesh can complete a work in 10 days and 15 days respectively. Umesh starts the work and after 5 days Mahesh also joins him. In all, the work would be completed in what time? covers all topics & solutions for SSC CHSL 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mahesh and Umesh can complete a work in 10 days and 15 days respectively. Umesh starts the work and after 5 days Mahesh also joins him. In all, the work would be completed in what time?.
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