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kompoz [17]
3 years ago
14

What is the average speed of a biker if she biked 4 1/4 of a mile in 25 minutes?

Mathematics
2 answers:
mezya [45]3 years ago
6 0

Answer:

\frac{10.2\text{ miles}}{\text{ hour}}

Step-by-step explanation:

We are asked to find the speed of a biker, who biked 4 1/4 of a mile in 25 minutes.

To find average speed of the biker, we will divide total distance by total time taken.

4\frac{1}{4}\text{ miles}\div 25\text{ min}

Convert mixed fraction into improper fraction:

4\frac{1}{4}\Rightarrow \frac{4*4+1}{4}=\frac{16+1}{4}=\frac{17}{4}

\frac{17}{4}\text{ miles}\div \frac{25}{1}\text{ min}

Convert to multiplication problem by flipping the 2nd fraction:

\frac{17}{4}\text{ miles}\times \frac{1}{25\text{ min}}

\frac{17\text{ miles}}{100\text{ min}}

Convert minutes to hour:

\frac{17\text{ miles}}{100\text{ min}}\times \frac{\text{60 min}}{\text{1 hour}}

\frac{17\text{ miles}}{10}\times \frac{6}{\text{1 hour}}

\frac{102\text{ miles}}{\text{10 hour}}

\frac{51\text{ miles}}{\text{5 hour}}

\frac{10.2\text{ miles}}{\text{ hour}}

Therefore, the average speed of biker is 10.2 miles per hour.

nata0808 [166]3 years ago
5 0

Answer:

Step-by-step explanation:

What is the average speed of a biker if she biked 4 1/4 of a mile in 25 minutes?

-----------------

rate = distance/time

-----

rate = (17/4)/(25/60) = (17/4)(60/25) = (17*3/5) = 51/5 = 10.2 mph

----------------

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