Question

Solve this:

9). A machine fills 390 bottles of soda in 6 hours. How long will it take to fill 1365 bottles ?

10) A 250-litre tank empties in 2 hour 30 minutes due to a leakage. How long will it take for $\frac{9}{10}$ of the tank to drain ?

Answer 1

Dear Student,

Question 9)

$$\begin{gathered} timetakentofill390bottles=6hours \\ timetakentofill1bottle=\frac{6}{390} \\ timetakentofill1365bottles=\frac{6}{390}\times 1365 \\ =21 \\ Henceitwouldtake21hourstofill1365bottles. \end{gathered}$$

Question 10)


$$\begin{gathered} 250litre\tan kemptiesin=2.5hours \\ 1litre\tan kemptiesin=\frac{2.5}{250} \\ \frac{9}{10}\times 250litre\tan kemptiesin=\frac{2.5}{250}\times \frac{9}{10}\times 250 \\ =\frac{2.5\times 9}{10} \\ =2.25hours \\ or2hoursand0.25\times 60minutes \\ =2hours15minutes \end{gathered}$$

Regards,