| A can do \[\frac{5}{8}th\] part of a work in. 15 days. Remaining work is done by B in 12 days. Then in how many days will A and B do same work by working together? |
A) \[11\frac{5}{7}\,\,days\]
B) \[12\frac{5}{7}\,\,days\]
C) \[13\frac{5}{7}\,\,days\]
D) \[14\frac{5}{7}\,\,days\]
Correct Answer: C
Solution :
| Time taken by A to complete \[\frac{5}{8}th\] part of a work =15 days |
| \[\therefore \] One day work of \[A=\frac{1}{15}\times \frac{5}{8}=\frac{1}{24}\] |
| Time takes by B to complete \[\frac{3}{8}th\] of work = 12 days. |
| \[\therefore \] One day work of \[B=\frac{3}{8}\times \frac{1}{12}=\frac{1}{32}\] |
| Together A and B one day work \[=\frac{1}{24}+\frac{1}{32}\] |
| \[=\frac{4+3}{96}=\frac{7}{96}\] |
| Hence, they will take \[\frac{96}{7}=13\frac{5}{7}\,\,days\] to complete the work together. |
You need to login to perform this action.
You will be redirected in
3 sec
