Question

An oil company fill 1/10 of a tank in 1/5 hours. At this rate which expression can be used to determine how long it will take for the tank to fill completely (1 point) 1) 1 5 . 10 hours 2) 1 10 - 5 hours 3) 1 1 5 . 10 hour O4) 5 - 10 hours

Answer 1

this problem can be solved by means of the rule of three:

`\begin{gathered} (1)/(10)\tan k\text{ ----- }(1)/(5)\text{hours} \\ 1\text{ tanks ------ x} \end{gathered}`

hence, we have that

`x=\frac{(1\tan k)((1)/(5)\text{hours)}}{(1)/(10)\tan k}`

therefore, it yields

`x=((1)/(5))/((1)/(10))`

by applying the "sandwich law", we obtain

`\begin{gathered} x=(1\cdot10)/(1\cdot5) \\ x=(10)/(5) \\ x=2 \end{gathered}`

hence, it will take 2 hours to fill the tank