Bob is training for a race. Bob ran 14.6 miles away from his home. Then, Bob ran 9.8 miles towards his home Finally, Bob ran 5.3 miles away from his home. How far is Bob from his home?

1 Answer
Johnson Z.
Apr 5, 2016

10.110.1 miles

Explanation:

Bob's training can be broken down into three steps:

11. ran 14.614.6 miles away from home

22. ran 9.89.8 miles towards his home

33. ran 5.35.3 miles away from his home

Since Bob starts running from his home, he is 00 miles from his home.

If he starts running from his home for 14.614.6 miles, you would add 14.614.6 miles to 00 miles to indicate how far Bob ran for his first run. For this problem, when Bob travels away from home, you add the distance he travels. In contrast, when he travels towards his home, you subtract the distance he travels.

0color(white)(i)"miles"+14.6color(white)(i)"miles"0imiles+14.6imiles

When Bob runs towards his home at a distance of 14.614.6 miles away from his home, you subtract 9.89.8 miles from 14.614.6 miles since he is now going in the opposite direction in which he was originally heading.

0color(white)(i)"miles"+14.6color(white)(i)"miles"-9.8color(white)(i)"miles"0imiles+14.6imiles−9.8imiles

Finally, when Bob runs 5.35.3 miles away from his home, opposite to the direction of his second run, you must add 5.35.3 miles.

0color(white)(i)"miles"+14.6color(white)(i)"miles"-9.8color(white)(i)"miles"+5.3color(white)(i)"miles"0imiles+14.6imiles−9.8imiles+5.3imiles

If you solve the addition problem, you get 10.110.1 miles.

:., Bob is 10.1 miles from his home.

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