Select the correct answerA, B, C can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days A and B left. C did the remaining work in how many days?Options3 days4 days3 1/2days2 days
Question
Select the correct answerA, B, C can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days A and B left. C did the remaining work in how many days?Options3 days4 days3 1/2days2 days
Solution
To solve this problem, we first need to find the rate at which A, B, and C can complete the work.
- A can complete the work in 5 days, so A's rate is 1/5 of the work per day.
- B can complete the work in 10 days, so B's rate is 1/10 of the work per day.
- C can complete the work in 15 days, so C's rate is 1/15 of the work per day.
When they work together, their combined rate is 1/5 + 1/10 + 1/15 = 1/2 of the work per day.
They worked together for 2 days, so in those 2 days, they completed 2 * (1/2) = 1 whole work.
After A and B left, C continued working alone. Since the work was already half done, C had to complete the remaining half.
C's rate is 1/15 of the work per day, so to complete the remaining half of the work, C would need to work for (1/2) / (1/15) = 7.5 days.
However, since C had already worked for 2 days with A and B, the remaining time C worked alone is 7.5 - 2 = 5.5 days.
So, the correct answer is not in the options given. C did the remaining work in 5.5 days.
Similar Questions
Select the correct answerA can finish one-third of a work in 5 days, B can finish 2/5th of the same work in 10 days and C can finish 75% of the same work in 15 days. They work together for 6 days; The remaining work will be finished by B alone in?Options3 days5 days2.5 days1.5 days
Select the correct answerA, B and C can do a work in 20 days, 24 days and 30 days respectively. A and B left the work 4 days before completion of the work, then whole work will finish in how many days?Options10 14/1511 8/159 2/312 7/15
Select the correct answerA can complete a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. In how many days, A alone can finish the remaining work?Options7 days8 days8.5 days7.5 days
A can do a piece of work in 4 days. B can do it in 5 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it?a.4 daysb.5 daysc.20 daysd.10 days
Select the correct answerA and B together can do a piece of work in 12 days which B and C together do in 16 days. If A works for 5 days, B works for 7 days than C completes the remaining work in 13 days. In how much time B alone does the whole work?Options24 days48 days16 days12 days
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.