Question

Charlie reads quickly. He reads 1\dfrac371 7 3 ​ 1, start fraction, 3, divided by, 7, end fraction pages every \dfrac23 3 2 ​ start fraction, 2, divided by, 3, end fraction minutes. Charlie reads at a constant rate. How many pages does he read per minute?

Answer 1

2 1/7

Explanation:

its correct for khan

Answer 2

The number of pages he will read in one minute is:

`2(1)/(7)\ \text{pages}`

Explanation:

It is given that:

Charlie reads
`1(3)/(7)\ \text{pages}` in every
`(2)/(3)\ \text{minutes}`.

We know that:

`1(3)/(7)=(10)/(7)`

This means that:

Charlie reads
`(10)/(7)\ \text{pages}` in every
`(2)/(3)\ \text{minutes}`.

This means that:

`\text{In}\ (2)/(3)\ \text{minutes he reads}\ (10)/(7)\ \text{pages}\\\\\text{Hence}`

`\text{In}\ 1\ \text{minute he will read}\ ((10)/(7))/((2)/(3))\ \text{pages}`

`\text{In}\ 1\ \text{minute he will read}\ (10* 3)/(7* 2)\ \text{pages}`

Hence,

`\text{In}\ 1\ \text{minute he will read}\ (15)/(7)\ \text{pages}`

Hence,

`\text{In}\ 1\ \text{minute he will read}\ (15)/(7)\ \text{pages}`

`\text{In}\ 1\ \text{minute he will read}\ 2(1)/(7)\ \text{pages}`