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Machine A produces nuts at a uniform rate of 23056 every 1048 seconds, and machine B produces nuts at a uniform rate of 91168 every 3256 seconds. If the two machines run simultaneously, how many seconds will it take them to produce a total of 1800 nuts?

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Machine A produces nuts at a uniform rate of 23056 every 1048 seconds, and machine B produces nuts at a uniform rate of 91168 every 3256 seconds. If the two machines run simultaneously, how many seconds will it take them to produce a total of 1800 nuts?
1). 27
2). 36
3). 25
4). 30


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Answered by on | Votes 2 |

Number of nuts produced by Machine A in one second = 23056/1048 = 22

No. nuts produced by Machine B in one second = 91168/3256 = 28

No. nuts produced when both Machine A & B work simultaneously = 22 + 28 = 50

Time taken to produce a total of 1800 nuts = 1800/50 = 36 sec

∴ Time taken to produce a total of 1800 nuts = 36 sec

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