Select the correct answerKareena can do a piece of work in 9 days and Karishma can do the same work in 18 days. They started the work. After 3 days Shahid joined them, who can complete alone the same whole work in 3 days. What is the total number of days in which they and completes the work?Options12 days4 days6 days8 days
Question
Select the correct answerKareena can do a piece of work in 9 days and Karishma can do the same work in 18 days. They started the work. After 3 days Shahid joined them, who can complete alone the same whole work in 3 days. What is the total number of days in which they and completes the work?Options12 days4 days6 days8 days
Solution
To solve this problem, we first need to determine the rate at which each person can complete the work.
- Kareena can complete the work in 9 days, so her work rate is 1/9 of the work per day.
- Karishma can complete the work in 18 days, so her work rate is 1/18 of the work per day.
- Shahid can complete the work in 3 days, so his work rate is 1/3 of the work per day.
Next, we need to determine how much of the work was completed before Shahid joined them. Kareena and Karishma worked together for 3 days, so in each of these days, they completed 1/9 + 1/18 = 2/18 + 1/18 = 3/18 = 1/6 of the work. Over 3 days, they therefore completed 3 * 1/6 = 1/2 of the work.
This means that when Shahid joined them, half of the work was still remaining. Now, all three of them worked together to complete the remaining half. In each day, they completed 1/9 + 1/18 + 1/3 = 2/18 + 1/18 + 6/18 = 9/18 = 1/2 of the work. So, it took them another 1 day to complete the remaining half of the work.
Therefore, the total time taken to complete the work was 3 days (before Shahid joined) + 1 day (after Shahid joined) = 4 days.
So, the correct answer is 4 days.
Similar Questions
A started a work and left after working for 2 days. Then B was called and he finished the work in 9 days. Had A left the work after working for 3 days, B would have finished the remaining work in 6 days. In how many days can each of them, working alone finish the whole work?Options2.5 days, 7.5 days5 days, 8.5 days5 days, 15 daysNone of these
A can do a piece of work in 8 days and B can do the same work in 10 days. They started the work together but after 3 days, A left . In how many days B can complete the remaining work?4 days7 days7.5 days3. 25 days
Select the correct answerA and B together can finish a work in 6.75 days. A alone can finish the same work in 9 days. In how many days will B alone finish the work?Options27 days18 days35 days36 days
Select the correct answerA and B together can finish a work in 5 days. If A works twice his efficiency they can finish the same work in 3 days. In how many days will A alone finish the work?Options5.4 days7.5 days6.6 days15 days
Select the correct answerAmit can complete a piece of work in 16 days. Rohit can complete the same piece of work in 8 days. If both of them work together in how many days can they complete the same piece of work?Options4 2/5 days6 days12 days5 1/3days
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.