Question

12 furnaces consume 80 kg of coal in 12 days. In how many days will
16 furnaces consumer 120 kg? ( BAF )​

Answer 1

SOLUTION

TO DETERMINE

12 furnaces consume 80 kg of coal in 12 days. In how many days will 16 furnaces consumer 120 kg

EVALUATION

SOLVE USING RULES OF THREE

We tabulate the given problem as below :

$\sf{ : \: \: No \: of \: Furances \: \: \: \: \: Coal \: Amount \: \: \: \: \: No \: of \: days}$

$\sf{ : \: \: \: \: \: \: \: \: \: \: 12 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 80 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 12 }$

$\sf{ : \: \: \: \: \: \: \: \: \: \: 16 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 120 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ? }$

Here number of days and number of Furances are in inverse proportion.

Also number of days and coal amount are in direct proportion

So the required number of days

$\displaystyle \sf{ = 12 \times \frac{12}{16} \times \frac{120}{80} }$

$= 13.5$

FINAL ANSWER

Hence the required number of days = 13.5

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