SOLUTION: Object A travels at a constant velocity of 2.0 m/s and object B travels in the same direction at a constant velocity of 3.0 m/s. If object B starts 1.0 min after object A, how long

Algebra ->  Length-and-distance -> SOLUTION: Object A travels at a constant velocity of 2.0 m/s and object B travels in the same direction at a constant velocity of 3.0 m/s. If object B starts 1.0 min after object A, how long      Log On


   



Question 1087384: Object A travels at a constant velocity of 2.0 m/s and object B travels in the same direction at a constant velocity of 3.0 m/s. If object B starts 1.0 min after object A, how long will it take object B to catch object A?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
You forgot to mention in the condition that both objects A and B started from the same point.

Then the time under the question is

t = %282%2A60%29%2F%283.0-2.0%29 = 120%2F1 = 120 seconds = 2 minutes.


The numerator 2*60 is the distance in meters from the starting point to A at the moment when the object B starts his move 
    (2 minutes = 120 seconds after A started its move).


So the numerator is the "ahead distance" between A and B when B started catching A.


The denominator (3.0 - 2.0) = 1 m/s is the relative speed of the body B to body A.


Solved.


On catching problems see the lesson
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.


Also, you have this free of charge online textbook in ALGEBRA-I in this site
    ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this textbook under the section "Word problems", the topic "Travel and Distance problems".