Math

QuestionMissy rode 16 miles in 1.25 hours. What is her average speed in miles per hour?

Studdy Solution

STEP 1

Assumptions1. The distance travelled by Missy is16 miles. The time taken by Missy is 1141 \frac{1}{4} hours3. We are asked to find the average speed, which is defined as the total distance travelled divided by the total time taken.

STEP 2

First, we need to convert the mixed fraction 1141 \frac{1}{4} to a decimal.114=1+141 \frac{1}{4} =1 + \frac{1}{4}

STEP 3

Now, convert the fraction 1\frac{1}{} to a decimal.
1=0.25\frac{1}{} =0.2511=1+0.251 \frac{1}{} =1 +0.25

STEP 4

Calculate the total time in decimal form.
114=1+0.25=1.25hours1 \frac{1}{4} =1 +0.25 =1.25 \, hours

STEP 5

Now that we have the total distance travelled and the total time taken, we can find the average speed by dividing the total distance by the total time.
Averagespeed=TotaldistanceTotaltimeAverage\, speed = \frac{Total\, distance}{Total\, time}

STEP 6

Plug in the values for the total distance and the total time to calculate the average speed.
Averagespeed=16miles1.25hoursAverage\, speed = \frac{16\, miles}{1.25\, hours}

STEP 7

Calculate the average speed.
Averagespeed=16miles1.25hours=12.miles/hourAverage\, speed = \frac{16\, miles}{1.25\, hours} =12.\, miles/hourMissy's average speed was12. miles per hour.

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