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Neporo4naja [7]
4 years ago
10

Two people start jogging at the same point and time but in opposite directions. If the rate of one jogger is 2 mph faster than t

he other and after 3 hours they are 30 miles apart, what is the rate of the faster jogger
A 3
B 4
C 5
D 6
E 7
Mathematics
1 answer:
Zielflug [23.3K]4 years ago
6 0

Answer:

D: 6

Step-by-step explanation:

Let x mph be the rate of the faster jogger

Therefore (x-2) mph is the rate of the slower jogger

After 3 hours faster jogger will be 3x miles from the starting point

Whereas after the 3 hours slower jogger will be 3(x-2) miles from the starting point but in the opposite direction.

Since they are 30 miles apart 3x+3(x-2)=30

3x+3x-6=30

⇒ 3x+3x=30 +6

⇒ 6x=36

⇒ x=6

Therefore the rate of the faster jogger = 6 mph

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Answer:

  Perimeter of the rectangle  = 6 x +20

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the length of the rectangle = 2x +3

Given that the width of the rectangle = x +7

Perimeter of the rectangle   = 2(length + width)

<u>Step(ii):-</u>            

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                                                  = 2(2 x +3 + x+7)

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<u><em>Final answer:-</em></u>

 Perimeter of the rectangle  = 6 x +20

 Perimeter of the rectangle  = o x² + 6 x + 20

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3 years ago
kathryn bought an aquarium to replace her fishbowl.The directions for the aquarium say that it should be filled with 9 cubic fee
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The water should fill the aquarium to 1.5 feet

Solution:

Given that the directions for the aquarium say that it should be filled with 9 cubic feet of water.

This means volume of aquarium is 9 cubic feet

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Since a aquarium is in shape of cuboid, we can use the volume of cuboid formula

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"h" is the height

Substituting the values, we get,

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