Question

William fills \[\dfrac{1}{3}\] of a water bottle in \[\dfrac{1}{6}\] of a minute. How much time will it take him to fill the bottle?

Answer 1

Hint: In the given question, have been asked to find the total time in which the bottle is filled. And it is given that \[\dfrac{1}{3}\] of a water bottle was filled in \[\dfrac{1}{6}\] for a minute. First we need to find the total parts required to make 1 bottle and later we find the time taken to fill the bottle by multiplying the total parts of the bottle to the time taken by bottle to fill \[\dfrac{1}{3}\] of the bottle.

Complete step by step answer:
We have given that,
\[\Rightarrow \]\[\dfrac{1}{3}\] Of a water bottle was filled in \[\dfrac{1}{6}\] of a minute.
\[\Rightarrow \] Full bottle= 1 =\[\dfrac{3}{3}\], as \[\dfrac{3}{3}=3\times \dfrac{1}{3}\]
\[\Rightarrow \] \[\dfrac{1}{3}\] Is the only one part of the total of the 3 parts of the whole bottle, so we need to fill 3 parts total to fill 1 whole bottle.
\[\Rightarrow \] Total time taken to fill the bottle = total parts of the bottle \[\times \]time taken by bottle to fill \[\dfrac{1}{3}\] part of the bottle.
\[\Rightarrow \] Time taken = \[3\times \dfrac{1}{6}=\dfrac{3}{6}=\dfrac{1}{2}\]

Therefore, it will take \[\dfrac{1}{2}\] of a minute i.e. 30 seconds to fill the bottle.

Note: Students are advised here to first find the total parts of the bottle as there is given \[\dfrac{1}{3}\] Of a water bottle was filled in \[\dfrac{1}{6}\] of a minute. \[\dfrac{1}{3}\] of the bottle means there are a total of 3 parts of a bottle as the denominator of a fraction tells us about the total number of parts to make a whole. And later after knowing the total parts of the bottle multiplying it by the time taken to fill 1 part of the bottle. You will get your required answer.