Question

Jack and Jill wanted to have a walking race up the hill to fetch a pail of water. Jack walks 1/2 mile in each 1/4 hour. Jill walks 1/3 mile every 1/6 hour. A. Who is the fastest walker ?

Answer 1

we must see everything in the same measure, so we will transform to a full hour

Jack

to see how fast it goes in an hour we must multiply by 4

$\begin{gathered} \frac{\frac{1}{2}\times4}{\frac{1}{4}\times4} \\ =\frac{2}{1} \end{gathered}$

jack walks 2 mile per hour

Jill

to see how fast it goes in an hour we must multiply by 6

$\begin{gathered} \frac{\frac{1}{3}\times6}{\frac{1}{6}\times6} \\ =\frac{2}{1} \end{gathered}$

jill walks 2 mile per hour

they have the same speed