Question

Lily reads 1/4 of her book in 1 1/3 hours 1 Lily continues to read at this pace How long does it take Lily to read 3/5 of the book? Enter your answer as a mixed number in simplest form by filling in the boxes h​

Answer 1

It will take Lily $\mathbf{ 3 \dfrac{1}{5} \ hours} }$ to read 3/5 of the book.

What is a word problem?

Word problems in mathematics involve a crucial understanding of the question and the use of the right mathematical concept to solve the real-life scenario.

From the information given:

• Lily reads 1/4 of her book in 1 1/3 hours

• If she continues reading at this pace;

• She will read 3/5 of the book in x hours,

To determine the value of (x) in hours, we need to cross multiply the above terms and make (x) the subject of the formula.

By doing so, we have:

$\mathbf{\dfrac{1}{4} \ books \times (x) \ hours = \dfrac{3}{5} \ books \times 1 \dfrac{1}{3} \ hours }$

$\mathbf{ (x) =\dfrac{ \dfrac{3}{5} \ books \times 1 \dfrac{1}{3} \ hours}{\dfrac{1}{4} \ books} }$

$\mathbf{ (x) =\dfrac{ \dfrac{3}{5} \ books \times \dfrac{4}{3} \ hours}{\dfrac{1}{4} \ books} }$

$\mathbf{ (x) =\dfrac{ \dfrac{4}{5} \ \ hours}{\dfrac{1}{4} \ } }$

$\mathbf{ (x) =\dfrac{4}{5} \times\dfrac{4}{1} \ \ hours}{ } }$

$\mathbf{ (x) =\dfrac{16}{5} \ hours} }$

$\mathbf{ (x) =3 \dfrac{1}{5} \ hours} }$  (as mixed number)

Learn more about word problems here:

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