machines a and b produce 8000 clips in 4 6 hours respectively..., Time & Work, General Mathematics

Question:Machines A and B produce `8000` clips in 4 and 6 hours respectively. If they work alternately for 1 hour, A starting first, then `8000` clips will be produced in :

A `4 1/3` hours 
B `4 2/3` hrs 
C `5 1/3` hrs 
D `5 2/3` hrs

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+ AnswerB

+ Explanationsolution:
(A + B)'s 2 hour's work `= (1/4 + 1/6)`
                                `= 5/12`.
(A +B)'s 4 hour's work `= (5/12 xx 2)`
                              `= 10/12`
                              `= 5/6`.
Remaining work `= (1 - 5/6)`
                     `= 1/6`.
Now, it is A's turn.
`1/4` work is done by A in 1 hour
`1/6` work is done by A in `(4 xx 1/6)`
                                    `= 2/3` hours.
Total time taken `= 4 2/3` hours.

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