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Amal completes 75% of the work in 45 days and Pavithra completes the work in 120 days. If Amal and Pavithra started the work together after 15 days both left and the remaining work is completed by Sheela and Divya in 45 days and then Divya alone completes 50% of the work in 72 days. In how many days Sheela alone completes the work?
  • a)
    144 days
  • b)
    288 days
  • c)
    72 days
  • d)
    180 days
  • e)
    150 days
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Amal completes 75% of the work in 45 days and Pavithra completes the ...
Amal alone complete whole work = 4/3 * 45 = 60 days
PAvithra alone complete work = 120 days
A + B together complete the work in 15 days is = 15/60 + 15/120
= 45/120 = ⅜
Remaining work = 1 – 3/8 = ⅝
Sheela + Divya together can complete 5/8 of the work in 45 days
Sheela + Divya together can complete whole work in 8/5 * 45 = 72 days
Divya alone complete 50% of the work in 72 days
Divya alone complete whole work = 100/50 * 72 = 144 days
Sheela alone complete = 1/72 – 1/144 = 1/144
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Community Answer
Amal completes 75% of the work in 45 days and Pavithra completes the ...
To solve this problem, let's break it down into steps:

Step 1: Find the individual work rates of Amal and Pavithra
- We are given that Amal completes 75% of the work in 45 days. This means that in 45 days, Amal completes 3/4 of the work.
- Let's assume the total work is represented by 1 unit. So, Amal completes 3/4 of the work in 45 days, which means he completes 3/4 * 1 = 3/4 of the work in 45 days.
- Therefore, the work completed by Amal in 1 day is 3/4 * 1/45 = 1/60 units.
- Similarly, we are given that Pavithra completes the work in 120 days. So, Pavithra's work rate is 1/120 units per day.

Step 2: Find the work done by Amal and Pavithra together in 15 days
- Since Amal's work rate is 1/60 units per day and Pavithra's work rate is 1/120 units per day, their combined work rate is 1/60 + 1/120 = 1/40 units per day.
- In 15 days, their combined work is 15 * 1/40 = 3/8 units.

Step 3: Find the work done by Sheela and Divya in 45 days
- After Amal and Pavithra left, the remaining work is completed by Sheela and Divya in 45 days. Let's assume their combined work rate is x units per day.
- In 45 days, their combined work is 45 * x = 5/8 units.

Step 4: Find Divya's work rate
- We are given that Divya alone completes 50% of the work in 72 days. This means that Divya completes 1/2 of the work in 72 days.
- Divya's work rate is 1/2 * 1/72 = 1/144 units per day.

Step 5: Find Sheela's work rate
- Since Sheela and Divya together complete 5/8 units of work in 45 days, and Divya's work rate is 1/144 units per day, Sheela's work rate can be found by subtracting Divya's work rate from the combined work rate.
- Sheela's work rate is (5/8 - 1/144) / 45 = 1/72 units per day.

Step 6: Find the time taken by Sheela to complete the work alone
- Since Sheela's work rate is 1/72 units per day, to complete 1 unit of work, she will take 1 / (1/72) = 72 days.

Therefore, Sheela alone completes the work in 72 days. So, the correct answer is option (c) 72 days.
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Amal completes 75% of the work in 45 days and Pavithra completes the work in 120 days. If Amal and Pavithra started the work together after 15 days both left and the remaining work is completed by Sheela and Divya in 45 days and then Divya alone completes 50% of the work in 72 days. In how many days Sheela alone completes the work?a)144 daysb)288 daysc)72 daysd)180 dayse)150 daysCorrect answer is option 'A'. Can you explain this answer?
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Amal completes 75% of the work in 45 days and Pavithra completes the work in 120 days. If Amal and Pavithra started the work together after 15 days both left and the remaining work is completed by Sheela and Divya in 45 days and then Divya alone completes 50% of the work in 72 days. In how many days Sheela alone completes the work?a)144 daysb)288 daysc)72 daysd)180 dayse)150 daysCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Amal completes 75% of the work in 45 days and Pavithra completes the work in 120 days. If Amal and Pavithra started the work together after 15 days both left and the remaining work is completed by Sheela and Divya in 45 days and then Divya alone completes 50% of the work in 72 days. In how many days Sheela alone completes the work?a)144 daysb)288 daysc)72 daysd)180 dayse)150 daysCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Amal completes 75% of the work in 45 days and Pavithra completes the work in 120 days. If Amal and Pavithra started the work together after 15 days both left and the remaining work is completed by Sheela and Divya in 45 days and then Divya alone completes 50% of the work in 72 days. In how many days Sheela alone completes the work?a)144 daysb)288 daysc)72 daysd)180 dayse)150 daysCorrect answer is option 'A'. Can you explain this answer?.
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