Problema Solution
justin and tisha are hiking north along the same trail. Tisha is hiking at a comfortable rate of 3 mph and passes a large hollow hickory tree at 2:38 pm, justin is speeding along at a brisk rate of 6 mph and passes the tree at 3:08 pm. at what time will justin catch up to tisha?
Answer provided by our tutors
between 2:38 pm and 3:08 pm there are 30 min = 0.5 hr
let t be the time difference in hours after 3:08 pm when Justin and Tisha meet:
(t + 0.5)*3 = t*6
by solving we find
t = 0.5 hr
click here to see the step by step solution of the equation
0.5 hr or 30 min after 3:08 pm is 3:38 pm
At 3:38 pm Justin will catch up to Tisha.