Question

| 15. Aliyah runs approximately 5.4 miles per hour.

She is training for a half-marathon and plans
to run 9 miles on Tuesday and 12 miles on
Thursday. How many minutes longer will her
run be on Thursday compared to Tuesday?

Answer 1

Aliyah's run on Thursday will be 33 minutes longer than her run on Tuesday.

Step-by-step explanation:

To calculate how many additional minutes Aliyah’s run will take on Thursday compared to Tuesday, we first determine the time taken to run 9 miles on Tuesday:

Time (Tuesday) = Distance / Speed = 9 miles / 5.4 mph = 1.6667 hours.

Converting 1.6667 hours into minutes by multiplying by 60 gives us 1.6667 hours * 60 minutes/hour = 100 minutes.

Next, we calculate the time it will take Aliyah to run 12 miles on Thursday:

Time (Thursday) = Distance / Speed = 12 miles / 5.4 mph = 2.2222 hours.

Again, converting 2.2222 hours into minutes gives us 2.2222 hours * 60 minutes/hour = 133.333 minutes.

The difference in time between Thursday’s run and Tuesday’s run is therefore:

Time difference = Time (Thursday) - Time (Tuesday) = 133.333 minutes - 100 minutes = 33.333 minutes, which we can round to 33 minutes for practical purposes.

Answer 2

Answer: 33.33 minutes longer.

Step-by-step explanation :

We need to remember the following formula:

`t=(d)/(V)`

Where "t" is the time, "d" is the distance and "V" is the speed.

We know that she runs approximately 5.4 miles per hour, then:

`V=5.4\ (mi)/(h)`

Since she plans to run 9 miles on Tuesday, her run's time on Tuesday will be:

`t_1=(9\ mi)/(5.4\ (mi)/(h))\\\\t_1=(5)/(3)\ h`

Making the conversion from hours to minutes, we get:

`((5)/(3)\ h)((60\ min)/(1\ h))=100\ min`

Since she plans to run 12 miles on Thursday, her run's time on that day will be:

`t_2=(12\ mi)/(5.4\ (mi)/(h))\\\\t_2=(20)/(9)\ h`

Making the conversion from hours to minutes, we get:

`((20)/(9)\ h)((60\ min)/(1\ h))=133.33\ min`

Finally in order to find how many longer will her run be on Thursday compared to Tuesday, we need to make the following subtraction:

`t_2-t_1=133.33\ min-100\ min=33.33\ min`