Linear Equation Word Problems

Question

Camille and Hiroki have decided to start walking for exercise. Camille is going to walk 7 miles the first day and 3 miles each day after that. Hiroki is too busy to walk on the first 2 days, so he decides to walk 5 miles each day until he has walked the same number of miles as Camille. If Camille and Hiroki will have walked the same number of miles, how many days will Camille have walked?

Answer Choices:

a. 2

b.3

c.5

d.7

Answer 1

7 + 3(D-1) = 5(D -2) = 5D -10

7 + 3D -3 = 5D -10

7-3+10 = 5D -3D

14 = 2D

2D = 14

D = 14/2 = 7

D = 7 days walking for Camille

D-2 = 5 days walking for Hiroki

Camille walks 7 hours on day one, then 3 x 6 = 18 hours for days two through seven, total 7+18 = 25 hours

Hiroki walks 0 for 2 days, then 5 x 5 hours = 25 hours for the last 5 days

the answer is D: 7 days for Camille