Ask question

Ask question

All categories

LuckyWell [14K]

3 years ago

13

In a triathlon , Jenny swam for 1 hour , biked for 1.75 hours , and ran for 1 hour. Her average biking speed was 2 times her ave

rage running speed , and her average running speed was 8 times her average swimming speed. Total distance of the triathlon was 55.5 kilometers. Write an equation and solve it to find Jenny's average swimming speed in kilometers per hour. Explain your solution path and the reasoning behind your work.

1 answer:

Naddika [18.5K]3 years ago

3 0

Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.

<h3>Speed</h3>

Speed is the ratio of total distance travelled to total time taken. It is given by:

Speed = distance / time

Let a represent the average swimming speed, b the average biking speed and c the average running speed.

Her average biking speed was 2 times her average running speed, hence:

b = 2c (1)

Her average running speed was 8 times her average swimming speed. Hence:

c = 8a (2)

Total distance of the triathlon was 55.5 kilometers. Hence:

a * 1 hour + b * 1.75 hour + c * 1 hour = 55.5 (3)

From equation 1, 2 and 3:

a = 2.5, b = 24, c = 12

Jenny average swimming speed was 2.5 km/h, her average biking speed was 24 km/h and her average running speed was 12 km/h.

Find out more on speed at: brainly.com/question/6504879

You might be interested in

Find the distance between the two points in simplest radical form.

Jlenok [28]

Answer:

$d=\sqrt{58}\approx7.6$

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Our first point, A, is at (1, 1) and our second point, B, is at (-2, 8).

Let's let A(1, 1) be (x₁, y₁) and B(-2, 8) be (x₂, y₂). Substitute this into the distance formula:

$d=\sqrt{(-2-1)^2+(8-1)^2$

Subtract:

$d=\sqrt{(-3)^2+(7)^2$

Square:

$d=\sqrt{9+49}$

Add:

$d=\sqrt{58}$

This cannot be simplified.

So, the distance between the two points is √58 or about 7.6 units.

And we're done!

So... where's my cookie :)?

6 0

3 years ago

Evaluate the expression.

zysi [14]

Answer:

work is shown and pictured

5 0

3 years ago

2 is 3 more than 5 times a number divided by 4

Lady_Fox [76]

I have nooo clue the problem doesn’t make sense

7 0

3 years ago

Please help <br> I took a screenshot of the question

Ymorist [56]

I don’t understand what the question is telling me

8 0

3 years ago

Read 2 more answers

Step 3: Now multiply the values to get 14,918,904,000. That is almost 15 billion passwords.

Troyanec [42]

The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600

<h3>How to determine the number of passwords</h3>

The given parameters are:

Password length = 8

Letters = 6

Numbers = 2

There are 26 letters and 10 digits.

Since the letters and the numbers can be repeated, then the number of passwords is:

Count = 26^6 * 10^2

Evaluate

Count = 30891577600

Hence, the number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600

Read more about combination at:

brainly.com/question/11732255

#SPJ1

7 0

2 years ago