SOLUTION: Suppose that bill walked, jogged and ran 490 yards to reach home. He walked twice as far as he jogged and ran half as far as he jogged. Show how to find the number of yards covere

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Question 28806: Suppose that bill walked, jogged and ran 490 yards to reach home. He walked twice as far as he jogged and ran half as far as he jogged. Show how to find the number of yards covered with each method by letting a variable represent one of the unknown quantities.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If you read carefully you will see that he ran the least amount.
So, let distance he ran be x.
Then distance he jogged is 2x.
And distance he walked is 2(2x)=4x
EQUATION:
ran + jog + walk = 490 yrds.
x+2x+4x=490
7x=490
x=70 yrds. (distance he ran)
2x=140 yrds. (distance he jogged)
4x=280 yrds. (distance he walked)
Cheers,
Stan H.