Question

Richard can read 1/4 of a book in 4/5 of an hour.At this rate ,how much can richard read in one hour

Answer 1

Assuming that Richard always reads with the same rate, there is a direct proportion between the time spent reading and the portion of book read:

$\text{portion}_1 : \text{time}_1 = \text{portion}_2 : \text{time}_2$

So, we can set up and solve the following proportion:

$\dfrac{1}{4} : \dfrac{4}{5} = x : 1 \iff x = \dfrac{\frac{1}{4}}{\frac{4}{5}} = \dfrac{1}{4}\cdot \dfrac{5}{4} = \dfrac{5}{16}$