A boy and a girl together fill a cistern with | vedclass

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(C) The rate at which the boy pours water is $\frac{4}{3}$ litres per minute.The rate at which the girl pours water is $\frac{3}{4}$ litres per minute

Vedclass · Accepted Answer

$48$

Vedclass · Answer

(C) The rate at which the boy pours water is $\frac{4}{3}$ litres per minute.The rate at which the girl pours water is $\frac{3}{4}$ litres per minute.Combined rate of the boy and the girl = $\frac{4}{3} + \frac{3}{4}$ litres per minute.To add these fractions,find the common denominator,which is $12$: $\frac{16}{12} + \frac{9}{12} = \frac{25}{12}$ litres per minute.Total volume to be filled = $100$ litres.Time required = $\frac{	ext{Total Volume}}{	ext{Combined Rate}} = \frac{100}{\frac{25}{12}} = 100 	imes \frac{12}{25} = 4 	imes 12 = 48$ minutes.

$A$ boy and a girl together fill a cistern with water. The boy pours $4$ litres of water every $3$ minutes and the girl pours $3$ litres every $4$ minutes. How much time (in minutes) will it take to fill $100$ litres of water in the cistern?

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