Question

EXTRA POINTS IF ANSWERED FAST: Kevin recorded the distances he ran last week. The total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday. How many miles did Kevin run on Wednesday? PLZZZZ ANSSWWWEEERRR

Answer 1

Answer: 9 miles

Explanation:

x + x + 9 + x +4 = 2x + 4x-2

Collecting like terms

x + x + x +9 + 4 = 2x + 4x -2

Collect like terms

3x +13 = 6x -2

3x - 6x = -2 -13

-3x = -15

Divide both side by -3

x = 5

Therefore ; total number he ran on Wednesday

x + 4

If x = 5

Therefore total number he ran on Wednesday = 5+4

= 9

Answer 2

`5(2)/(3)` miles.

Explanation:

Kevin recorded the distances he ran last week in the table attached to this question.

Now, the total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday.

Hence, {x + (x + 9) + (x + 4)} = {2x + (4x - 2)}

⇒ 3x + 13 = 6x - 2

⇒ 9x = 15

⇒
`x = (15)/(9) = (5)/(3)`

Therefore, he ran on Wednesday = x + 4 =
`(5)/(3) + 4 = (17)/(3) = 5(2)/(3)` miles. (Answer)