Ratio of times taken by A and B = 100 : 130 = 10 : 13.
Suppose B takes x days to do the work.
| Then, 10 : 13 :: 23 : x ⟹ x = |
❨ |
23 x 13 |
❩ |
⟹ x = |
299 |
. |
| 10 |
10 |
| A's 1 day's work = |
1 |
; |
| 23 |
| B's 1 day's work = |
10 |
. |
| 299 |
| (A + B)'s 1 day's work = |
❨ |
1 |
+ |
10 |
❩ |
= |
23 |
= |
1 |
. |
| 23 |
299 |
299 |
13 |
Therefore, A and B together can complete the work in 13 days.
