Two spinning machines A and B can together produce 50000 m of cloth in 20 hours. If machine B alone can produce the same amount of cloth in 25 hours, then how much cloth can machine A produce alone in 20 hours ?
Question
Two spinning machines A and B can together produce 50000 m of cloth in 20 hours. If machine B alone can produce the same amount of cloth in 25 hours, then how much cloth can machine A produce alone in 20 hours ?
Solution
To solve this problem, we need to understand the rate at which each machine produces cloth.
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First, we know that machine B alone can produce 50000 m of cloth in 25 hours. So, the rate of machine B is 50000 m / 25 hours = 2000 m/hour.
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We also know that machines A and B together can produce 50000 m of cloth in 20 hours. So, their combined rate is 50000 m / 20 hours = 2500 m/hour.
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To find the rate of machine A, we subtract the rate of machine B from the combined rate. So, the rate of machine A is 2500 m/hour - 2000 m/hour = 500 m/hour.
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Finally, to find out how much cloth machine A can produce alone in 20 hours, we multiply its rate by the time. So, machine A can produce 500 m/hour * 20 hours = 10000 m of cloth in 20 hours.
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