Question

Question #ceba7

Answer 1

`2 2/3h` or `2.6666...`

Explanation:

Let the race be `x`.
`3/4x=2h`.

`1/4x=2h-:3`

which is equal to `1/4x=0.6666...`

`4/4x=0.6666...xx4`

which is equal to `4/4x=2.6666...` or `2 2/3`

(`4/4=1`)

Answer 2

160 minutes, or 2 hours and 40 minutes

Explanation:

The first thing to do is to transform this worded question into a mathematical equation. We first notice the words "3/4 of her race." In worded questions, of is always indicative of multiplication. In this case, we have 3/4 multiplied by this race is equal to 2 hours. If we let `x` equal the race, the equation we get is
`3/4x=2`

There are three steps to solving this equation. The first is to transform 2 hours into 120 minutes, so as to make the equation easier to re-translate into words.

`3/4x=120`

Then we divide both sides by `3/4`, to isolate `x`, since `a/a=1`, that means `3/4 ÷ 3/4=1`, so

`1x=120 ÷ 3/4`
`x=120 ÷ 3/4`

Lastly we solve the left-hand side, which we do by flipping the equation and then multiplying, because `a/1 ÷ b/c=a/1*c/b=(ac)/b`

`x=120 *4/3`
`x=480/3`

`x=160`

Since `x` equals 160, that means Clara will take 160 minutes, or 2 hours and 40 minutes to finish her race.

I hope I helped!