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?

Bob is 10.1 miles away from home.

Solution:

Given that

Bob is training for a Race.

Number of miles Bob ran away from home = 14.6 miles

Number of miles Bob ran towards from home = 9.8 miles

Number of miles Bob ran again from home = 5.3 miles

Need to determine how far is bob from his home.

Let position of home = A

First, Bob ran 14.6 miles away from his home:

Let first Bob run from A to B

=> AB = 14.6 miles

Second, Bob ran 9.8 miles towards his home:

From B to C toward A (home) = BC = 9.8 miles

So AC = AB - BC = 14.6 - 9.8 = 4.8 miles

Finally bob ran 5.3 miles away from his home:

From C move to D (away from home that is A) = CD = 5.3 miles

So AD = AC + CD = 4.8 + 5.3 = 10.1 miles.

Hence bob is 10.1 miles away from home.