A started a work and left after working for 5 days. Then B finished the remaining work in 16 days. Had A left the work after working for 8 days, B would have finished the remaining work in 10 days. In how many days can each
of them alone finish the whole work?

Question

A started a work and left after working for 5 days. Then B finished the remaining work in 16 days. Had A left the work after working for 8 days, B would have finished the remaining work in 10 days. In how many days can each 
of them alone finish the whole work?

hartnn · Answer

let A complete the entire work in x days, 
then A will complete 1/x th part of the wok in 1 day, right ?
got this ?

hartnn · Answer

so, after working for 5 days, A will complete, 5/x part of the work.
similarly, B completes, 16/y part of the work.
then work gets completed, so 5/x + 16/y = 1
any doubts here ?
can you make another similar equation ?