Problema Solution

sandra rode her bike down the street at 8 miles per hour. three hours later, josh started at the same place and rode his bike toward her at 12 miles per hour. if sandra started riding at 1 p.m when did josh catch up to her?

Answer provided by our tutors

Let

v1 = 8 mph Sandra's speed

v2 = 12 mph Josh's speed

t = the of Sandra

t - 3 = the time of Josh (since he started ridding 3 hours later)

Using the formula distance = speed*time and the fact that they both rode the same distance we can write:

v1*t = v2(t - 3)

8t = 12(t - 3)

........

click here to see the equation solved for t

........

t = 9 hr

9 hours after 1 p.m is 10 p.m.

Josh caught up to Sandra at 10 p.m.