QuestionA skier finishes a $7.5 \mathrm{~km}$ race in $45 \mathrm{~min}$ . Find the average speed in $\mathrm{km} / \mathrm{h}$ .

Studdy Solution

STEP 1

Assumptions1. The skier completes a7.5 km race. The time taken to complete the race is45 minutes3. We need to find the average speed in km/h

STEP 2

The formula to calculate speed is distance divided by time.
$Speed = \frac{Distance}{Time}$

STEP 3

Plug in the given values for distance and time to calculate the speed.
$Speed = \frac{7.5\,km}{45\,min}$

STEP 4

To convert the speed to km/h, we need to convert the time from minutes to hours. There are60 minutes in1 hour, so we divide the time by60.
$Time = \frac{45\,min}{60} =0.75\,hours$

STEP 5

Now, plug in the converted time value into the speed formula.
$Speed = \frac{7.5\,km}{0.75\,hours}$

STEP 6

Calculate the average speed.
$Speed = \frac{.5\,km}{0.75\,hours} =10\,km/h$ The skier's average speed is10 km/h.

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QuestionA skier finishes a $7.5 \mathrm{~km}$ race in $45 \mathrm{~min}$ . Find the average speed in $\mathrm{km} / \mathrm{h}$ .

Studdy Solution

STEP 1

Assumptions1. The skier completes a7.5 km race. The time taken to complete the race is45 minutes3. We need to find the average speed in km/h

STEP 2

The formula to calculate speed is distance divided by time.
$Speed = \frac{Distance}{Time}$

STEP 3

Plug in the given values for distance and time to calculate the speed.
$Speed = \frac{7.5\,km}{45\,min}$

STEP 4

To convert the speed to km/h, we need to convert the time from minutes to hours. There are60 minutes in1 hour, so we divide the time by60.
$Time = \frac{45\,min}{60} =0.75\,hours$

STEP 5

Now, plug in the converted time value into the speed formula.
$Speed = \frac{7.5\,km}{0.75\,hours}$

STEP 6

Calculate the average speed.
$Speed = \frac{.5\,km}{0.75\,hours} =10\,km/h$ The skier's average speed is10 km/h.

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QuestionA skier finishes a 7.5 km7.5 \mathrm{~km}7.5 km race in 45 min45 \mathrm{~min}45 min. Find the average speed in km/h\mathrm{km} / \mathrm{h}km/h.

Studdy Solution

STEP 1

Assumptions1. The skier completes a7.5 km race. The time taken to complete the race is45 minutes3. We need to find the average speed in km/h

STEP 2

The formula to calculate speed is distance divided by time.Speed=DistanceTimeSpeed = \frac{Distance}{Time}Speed=TimeDistance​

STEP 3

Plug in the given values for distance and time to calculate the speed.Speed=7.5 km45 minSpeed = \frac{7.5\,km}{45\,min}Speed=45min7.5km​

STEP 4

To convert the speed to km/h, we need to convert the time from minutes to hours. There are60 minutes in1 hour, so we divide the time by60.Time=45 min60=0.75 hoursTime = \frac{45\,min}{60} =0.75\,hoursTime=6045min​=0.75hours

STEP 5

Now, plug in the converted time value into the speed formula.Speed=7.5 km0.75 hoursSpeed = \frac{7.5\,km}{0.75\,hours}Speed=0.75hours7.5km​

STEP 6

Calculate the average speed.Speed=.5 km0.75 hours=10 km/hSpeed = \frac{.5\,km}{0.75\,hours} =10\,km/hSpeed=0.75hours.5km​=10km/hThe skier's average speed is10 km/h.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionA skier finishes a $7.5 \mathrm{~km}$ race in $45 \mathrm{~min}$ . Find the average speed in $\mathrm{km} / \mathrm{h}$ .

The formula to calculate speed is distance divided by time.
$Speed = \frac{Distance}{Time}$

Plug in the given values for distance and time to calculate the speed.
$Speed = \frac{7.5\,km}{45\,min}$

To convert the speed to km/h, we need to convert the time from minutes to hours. There are60 minutes in1 hour, so we divide the time by60.
$Time = \frac{45\,min}{60} =0.75\,hours$

Now, plug in the converted time value into the speed formula.
$Speed = \frac{7.5\,km}{0.75\,hours}$

Calculate the average speed.
$Speed = \frac{.5\,km}{0.75\,hours} =10\,km/h$ The skier's average speed is10 km/h.