5. A does half as much work as B isthree-fourth of the time. If togeth

1.	5. A does half as much work as B isthree-fourth of the time. If together theytake 18 days to complete the work, howmany days will B take to do it?(a) 40 days(c) 45 days(b) 30 days(d) of these
Answer» Let's say B takes Xdays to finish 1 job, thenA will take 3/4(X) days to finish 0.5 job. Now we know that 18(1/X + 0.5/0.75X) = 1 1/X + 50/75X = 1/18 1/X (1 + 10/15) = 1/18 X = 30

5. A does half as much work as B isthree-fourth of the time. If together theytake 18 days to complete the work, howmany days will B take to do it?(a) 40 days(c) 45 days(b) 30 days(d) of these

Answer»

Let's say B takes Xdays to finish 1 job, thenA will take 3/4(X) days to finish 0.5 job.

Now we know that

18(1/X + 0.5/0.75X) = 1

1/X + 50/75X = 1/18

1/X (1 + 10/15) = 1/18

X = 30