A can do 2/5 of a work in 12 days while B can do 66 2/3% of the same work in 16 days. They work together for 10 days. B alone will complete the remaining work in?Options6498
Question
A can do 2/5 of a work in 12 days while B can do 66 2/3% of the same work in 16 days. They work together for 10 days. B alone will complete the remaining work in?Options6498
Solution
Sure, let's solve this step by step:
-
First, let's find out how much work A and B can do in one day.
A can do 2/5 of the work in 12 days, so in one day, A can do (2/5)/12 = 1/30 of the work.
B can do 66 2/3% of the work in 16 days. 66 2/3% is equivalent to 2/3 in fraction. So, in one day, B can do (2/3)/16 = 1/24 of the work.
-
Now, let's find out how much work they can do together in one day.
A and B together can do 1/30 + 1/24 = 4/120 + 5/120 = 9/120 = 3/40 of the work in one day.
-
They work together for 10 days, so in 10 days, they can do 10 * 3/40 = 3/4 of the work.
-
The remaining work is 1 - 3/4 = 1/4.
-
Now, let's find out how many days B will take to complete the remaining work.
Since B can do 1/24 of the work in one day, B will take 1/4 / 1/24 = 24/4 = 6 days to complete the remaining work.
So, B alone will complete the remaining work in 6 days. The correct option is 6.
Similar Questions
A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :
A can do a work in 36 days and B in 32 days. If they work on it together for 12 days, then what fraction of work is left?Options7/2411933134557/72
A 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?Options5 days3 days2.5 days1.5 days
A and B can complete a work in 6 days.A can alone do it in 10 days.Then B can alone do the work in how many days?A13.75 daysB14 daysC16 daysD15 days
When they work alone, B needs 60% more time to finish a piece of work than A does. Both of them finish the work in the following manner: B works alone till one-fourth of the work is done, then A and B work together for 12 days, and finally, A works alone to complete the remaining 10% of the work. In how many days can A alone finish the entire work?
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.