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

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) (Show Source): You can put this solution on YOUR website!
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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 =  =  = 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".

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