Answer:
3 hours
Explanation:
Given:
- The speed of Ben v_b = 3 mi/h
- The speed of Amanda v_a = 6 mi/h
- The total time taken to cover distance(d) by ben = t_b
Find:
How long will it be before Amanda catches up to Ben?
Solution:
- The distance d traveled by Ben:
d = v_b*t_b
d = 3*t_b
- The distance d traveled by Amanda:
d = v_a*t_a
d = 6*t_a
- Equate the distance as when they meet:
3*t_b = 6*t_a
- Where ,
t_b = t_a + 1.5
t_a = t_b - 1.5
- Substitute the time relationship in distance relationship:
3*t_b = 6*(t_b - 1.5)
3*t_b = 6*1.5
t_b = 2*1.5 = 3 h
- Hence, It would take 3 hours since Ben starts walking that amanda catches up.
