Question

Cody can ride his bike 7 1/4 miles 3/5 of an hour. What is his speed in miles per hours?

Answer 1

12.08 miles per hour.

Step By Step :

To find Cody's speed in miles per hour, we need to divide the distance he can ride his bike by the time it takes him to ride that distance.

Given that Cody can ride his bike 7 1/4 miles in 3/5 of an hour, we can convert the mixed number 7 1/4 to an improper fraction.

To do this, we multiply the whole number (7) by the denominator (4), and then add the numerator (1). This gives us a new numerator of 29. The denominator remains the same (4).

So, 7 1/4 is equivalent to 29/4.

Now, let's find Cody's speed by dividing the distance (29/4 miles) by the time (3/5 hour).

To divide fractions, we multiply the first fraction (29/4) by the reciprocal of the second fraction (5/3).

So, (29/4) ÷ (3/5) becomes (29/4) * (5/3).

When we multiply these fractions, the numerator of the first fraction (29) is multiplied by the numerator of the second fraction (5), giving us 145. The denominator of the first fraction (4) is multiplied by the denominator of the second fraction (3), giving us 12.

Therefore, Cody's speed is 145/12 miles per hour.

In decimal form, this is approximately 12.08 miles per hour (rounded to two decimal places).

So, Cody's speed is approximately 12.08 miles per hour.

Answer 2

To find Cody's speed in miles per hour, convert his distance from miles to kilometers and his time from hours to minutes. Then, calculate his speed by dividing the distance in kilometers by the time in hours.

Step-by-step explanation:

To find Cody's speed in miles per hour, we need to convert his distance from miles to kilometers. We can do this by multiplying the distance in miles by the conversion factor of 1 mile is approximately 1.61 kilometers. So, Cody's distance in kilometers is 7 1/4 x 1.61 = 11.65 kilometers.

Next, we need to convert Cody's time from hours to minutes. We can do this by multiplying the time in hours by 60 (since there are 60 minutes in an hour). So, Cody's time in minutes is 3/5 x 60 = 36 minutes.

Finally, we can calculate Cody's speed in kilometers per hour by dividing the distance in kilometers by the time in hours. Cody's speed is 11.65 km / (36/60) h = 19.4167 km/h. Therefore, Cody's speed in miles per hour is approximately 12.06 mph.