Correct option is A
Given:
A can finish the work = 56
B can finish the work = 70
Solution:
Total work = LCM of 56 and 70
= 280
Then the efficiency of A = 280/56= 5 unit/day
Efficiency of B = 280/70 = 4 unit\day
34 work days work which is done by B = 344 = 136
Remaining work = 280 - 136 = 144
They do this (144 unit) work together = 144/9 = 16
After 16 days A left the work.