Machine A produces bolts at a uniform rate of 120 every 40 seconds and Machine B produce bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for tem to produce a total of 200 bolts.
Solution
Correct Answer: Option B
Machine A:
In 40 seconds produces 120 bolts
In 1 second produces 120 / 40 bolts = 3 bolts
Machine B:
In 20 seconds produces 100 bolts
In 1 second produces 100 / 20 bolts = 5 bolts
So,
In 1 second with both machine simultaneously working,
Produces = 3 + 5 bolts = 8 bolts
Thus,
8 bolts is produced in 1 second
200 bolts is produced in (1 * 200) / 8 seconds
= 25 seconds
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