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Question
A soap factory produces 9600 soaps in 6 days working 15 hours a day. In how many days will it produce 14400 soaps working 3 more hours a day?
Solution
Let the required number of days be x.
| Soaps | Hours | Days |
| 9600 | 15 | 6 |
| 14400 | (15 + 3) = 18 | x |
To produce more soaps more days required.
∴ It is direct proportion
∴ Multiplying factor = `14400/9600`
If more hours spend, less days required.
∴ It is indirect proportion
∴ Multiplying factor = `15/18`
∴ x = `6 xx 14400/9600 xx 15/18`
`(6 xx 14400 xx 15)/(9600 xx 18)`
x = `15/2`
`15/2` days will be needed.
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