Ask question

Ask question

All categories

3 years ago

6

Iron Man Training While training for an iron man competition, Tony bikes for 60 miles and runs for 15 miles. If his bikes speed

is 8 times his running speed and takes 5 hours to complete the training. How long did he speed on his bike
I know the answer is "5/3 hr or 1 hr, 40 min" from the book BUT I don't know how to show the work because it's hard problem so please help me. Thank you

1 answer:

ivolga24 [154]3 years ago

4 0

Answer:

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

Step-by-step explanation:

How long did Tony speed on his bike?

Let s to be Tony's running speed, then 8s is Tony's biking speed

Let's recall that Time = Distance/Speed

Bike time + Running time = 5 hrs

Replacing with the real values, we have:

60/8s + 15/s = 5

8s as Lowest Common Denominator

60 + 8 * 15 = 5 * 8s

60 + 120 = 40s

-40s = -180

s = -180-40

s = 4.5 ⇒ 8s = 36

Tony run at 4.5 mph and biked at 36 mph

Now, we can calculate the time, this way:

Bike time = Bike distance/Bike speed

Replacing with the real values, we have:

Bike time = 60/36

Bike time = 5/3 (Dividing by 12)

5/3 hours * 60 = 100 minutes or 1 hour 40 minutes

Running time = 5 hours - 1 hour 40 minutes = 3 hours 20 minutes

<u>Tony biked 1 hour 40 minutes and run 3 hours 20 minutes.</u>

You might be interested in

Solve for b<br> 2(-2b+3)=9

Alexxx [7]

Answer:

b=-3/4 or b=-0.75

Step-by-step explanation:

$2(-2b+3)=9$

$2b+3=\cfrac{9}{2}$

$-2b=\cfrac{9}{3} -3$

$-2b=\cfrac{3}{2}$

$b=-\cfrac{\frac{3}{2} }{2}$

$b=-\cfrac{3}{2\times 2}$

$b=-\cfrac{3}{4}$

Hope it helps! :)

7 0

2 years ago

How did you compute sums of dollar amounts that were not whole numbers? For example, how did you compute the sum of$5.89 and$1.4

nignag [31]

Answer:

$7.34

Step-by-step explanation:

To compute sum of dollars that are not whole numbers. Using the sum of$5.89 and$1.45 as an illustration :

$5.89 + $1.45

Taking the whole numbers first:

$5 + $1 = $6

Take the sum of the decimals :

$0.89 + $0.45 = $1.34

Sum initial whole + whole of sum of decimal

$6 + $1 = $7

Remaining decimal : $1.34 - $1 = $0.34

$7 + $0.34 = $7.34

4 0

3 years ago

Read 2 more answers

Plz help! Don’t understand this question

solniwko [45]

Answer:

11.91

Step-by-step explanation:

The question says there is a new line that connects V and T. If this line is drawn, the diagram would have a right-angle triangle. This triangle is called TUV.

In triangle TUV, the side length created by the points VT is the hypotenuse.

For right-angle triangles, you can use the Pythagorean theorem to find any side.

It's in the format side² + side² = hypotenuse².

To use the formula, you need to know the length of the other two sides. The length of these sides, because they are exactly horizontal or vertical, is found by subtracting the smaller coordinate from the other (that is not the same).

The lengths of other sides:

VU:

-3 is the same. The length is 3.5 - (-5.75) = 9.25

UT:

-5.75 is the same. The length is 4.5 - (-3) = 7.5

Substitute the lengths into the Pythagorean theorem:

a² + b² = c²

9.25² + 7.5² = c² Simplify

141.8125 = c² Find the square root of both sides to isolate c

c = 11.91 Final answer, length of VT

7 0

3 years ago

Find the price per unit for each item, then choose the best buy. a. Cereal, 10 oz. box for $5.90 would b. Cereal, 24 oz. box for

brilliants [131]

The Best Buy would be the 24 oz. box.

4 0

3 years ago

544ml^2 is how many liters<br><br>show your work

ivolga24 [154]

Answer:

295.936

Step-by-step explanation:

First find out what 544^2 is. That is 295,936. There are 100 ml in 1 liter. So divide 295,936 by 100 to see how many liters are in 295,936 ml.

295,936÷100=295.936

7 0

3 years ago