Question

PLEASE HELP URGENT

Maggie is walking her dog. She walks 2/3 mile in 7/10 of an hour. At this same rate, what distances can she walk? Select all that apply.

5/7 mile in 3/4 of an hour


7/10 mike in 2/3 of an hour


10/3 miles in 1 1/2 hours


32/21 miles in 1 3/5 hours


5/3 mikes in 1 9/10 hours

Answer 1

Maggie can walk several distances at the same rate. These include 15/28 mile, 7/15 mile, 5 miles, 512/105 miles, and 95/18 miles.

Step-by-step explanation:

To determine what distances Maggie can walk at the same rate, we need to find the rate per mile. To do this, we divide the distance by the time. In this case, Maggie walks 2/3 mile in 7/10 of an hour:

Rate = Distance / Time = (2/3) / (7/10) = 2/3 * 10/7 = 20/21 mile per hour

Now, we can find the distances she can walk at this rate by multiplying the rate by the time. Let's evaluate each option:

a) 5/7 mile in 3/4 of an hour: (5/7) * (3/4) = 15/28 mile

b) 7/10 mile in 2/3 of an hour: (7/10) * (2/3) = 7/15 mile

c) 10/3 miles in 1 1/2 hours: (10/3) * (3/2) = 5 miles

d) 32/21 miles in 1 3/5 hours: (32/21) * (8/5) = 512/105 miles

e) 5/3 miles in 1 9/10 hours: (5/3) * (19/10) = 95/18 miles

Therefore, the distances she can walk at the same rate are: 15/28 mile, 7/15 mile, 5 miles, 512/105 miles, and 95/18 miles.

Answer 2

Assuming she can only walk 2/3 of a mile in 7/10 we will find the solution.
We want to find the mile per hour rate (mi/hr).
That is 2/3 divided by 7/10
Which is 2/3 times 10/7
Numerator is 20
Denominator is 21
So 20/21 miles per hour. .95238009…
Convert each answer (flipping the second fraction since it is division)
5/7 times 4/3 is 20/21
7/10 times 3/2 is 21/20
10/3 divided by 1.5 hours which is 3/2.
So 10/3 times 2/3 is 20/9
32/21 divided by 1 3/5 hours which is 5/5 plus 3/5 (add to get 8/5)
So 32/21 times 5/8 is 160/168
5/3 times 10/9 is 50/27
In order of answers
20/21
21/20
20/9
160/168
50/27
Original was 20/21 which is less than 1 (21/21)
So yes to 20/21
So no to 21/20, 20/9, 50/27
To see if 160/168 works simplify.
160/168 gives 80/84 gives 40/42 gives 20/21 when dividing by 2.
So 160/168 works.

So yes to
5/7 mile in 3/4 of an hour
32/21 miles in 1 3/5 hours

So no to
7/10 mile in 2/3 of an hour
10/3 miles in 1 1/2 hours
5/3 miles in 1 9/10 hours

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