Answer: Jenifer is faster by 0.3 miles per hour
Step-by-step explanation:
<u>Facts:</u>
Victoria: 1 1/5 miles in 1/2 an hour
Jenifer: 2/3 miles in 1/4 of an hour
Who is walking faster: ?
Step 1: Find the unit rate for victoria
To find the unit rate, or in this case how many miles per hour, you <em>always</em> divide the first unit in the question by the 2nd one. In other words, in the statment "<u>miles per hour", </u>you divide mile/hour.
For victoria, we will divide 1 1/5÷1/2. To make it easier, convert them to decimals first.
1 1/5= 1.2
1/2= 0.5
1.2÷ 0.5= 2.4
<u><em>Victoria walks at 2.4 miles per hour. </em></u>
Step 2: Find the unit rate for Jenifer using the same strategy used for victoria
This time, it won't be as simple to convert the fractions to decimals because even though 1/4 simplifies to 0.25, 2/3 is a long, irrational decimal.
2/3÷1/4= 2/3x4/1= 8/3= 2 2/3
Jenifer walks 2 2/3 miles per hour, or about 2.666666667 --> 2.7 miles per hour.
Step 3: Compare to find who walks faster
Use whichever you find easier.
Method #1: Compare the numbers in decimal form
2.40 < 2.70
In this method, it tells us that Jenifer is faster.
Method #2: Compare the numbers as fractions
* 2.4--> 2 4/10---> 2 2/5
2 2/5 < 2 2/3
(The lower the number of the denominator, the bigger the fraction).
In this method, it also tells me that Jenifer is faster.
Step 4: Now we just need to find how much faster Jenifer is, which we can do by subtracting Victoria from Jenifer (since Jenifer's number is bigger)
So, its Jenifer-Victoria:
Jenifer's speed is approx. 2.666667
2.666667- 2.4= 0.266667
This rounds to 0.3, or 3/10.
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Hope this helps :)) also brainliest would be appreciated as i worked pretty hard on this, thanks :)
