# Question 974b9

Jan 29, 2018

400 minutes is longer by 69 minutes

#### Explanation:

Let's convert 5 hours and 31 minutes into minutes.

1 hour = 60 minutes

$\therefore$ 5 hours = 60 x 5 = 300 minutes.

Now we just add the 31 minutes to get 331 minutes.

$\therefore$ 400 minutes is longer by 69 minutes.

Jan 29, 2018

See a solution process below:

#### Explanation:

First, we can convert "5 hours 31 minutes" to minutes.

There are 60 minutes per hour. Therefore:

1" hour" = 60" minutes")

$\textcolor{red}{5} \times 1 \text{ hour" = color(red)(5) xx 60" minutes}$

$5 \text{ hours" = 300" minutes}$

$300 \text{ minutes" + 31" minutes" = 331" minutes}$

The answer to the first part of the question is:

400 minutes is longer than 5 hours 31 minutes.

Now, we can subtract 331 minutes from 400 minutes to find out how much longer:

400" minutes" - 331" minutes" = 69" minutes"

$69 \text{ minutes" = 60" minutes" + 9 "minutes} =$

$1 \text{ hour " 9" minutes}$

It is 69 minutes or 1 hour 9 minutes longer.

Jan 29, 2018

400 minutes is longer
69 minutes longer which is the same a 1 hour 9 minutes

#### Explanation:

Using the known condition that 1 hour is the same length of time as 60 minutes

So for 5 hours we have 5 lots of 60 minutes

$\textcolor{w h i t e}{3} 60$
$\textcolor{w h i t e}{3} 60$
$\textcolor{w h i t e}{3} 60$
$\textcolor{w h i t e}{3} 60$
$\underline{\textcolor{w h i t e}{3} 60 \leftarrow \text{ Add}}$
$300$

Note that $60$ is the same as $6 \times 10$

So $5 \times 60$ is the same as $5 \times 6 \times 10 = 30 \times 10 = 300$

Thus 5 hours and 31 minutes is:

$300$
$\underline{\textcolor{w h i t e}{3} 31 \leftarrow \text{ Add}}$
$331$ minutes

But $331$ minutes is less than $400$ minutes

So 400 minutes is longer

The difference in time is

$400$
$\underline{331 \leftarrow \text{ Subtract}}$
$\textcolor{w h i t e}{3} 69$ minutes $\to \text{ 1 hour 9 minutes}$