SOLUTION: A train leaves toronto to Montreal travelling (60km)/(h ) a second train leaves toronto heading for Montreal half an hour later at (75km)/(h) how long will it take for the second t

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Question 1158063: A train leaves toronto to Montreal travelling (60km)/(h ) a second train leaves toronto heading for Montreal half an hour later at (75km)/(h) how long will it take for the second train to catch up to the first train?
Found 3 solutions by josmiceli, greenestamps, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The head start of the 1st train is:

km
Let = the distance the 2nd train travels
until it catches the 1st train
Let = time in hrs for the 2nd train to
catch the 1st train
Start a stopwatch hen the 2nd train leaves
----------------------------
Equation for the 1st train:
(1)
Equation for the 2nd train:
(2)
-------------------------------
(1)
Plug (2) into (1)
(1)
(1)
(1)
It takes 2 hrs for the 2nd train to catch the 1st train
--------------------------------
check:
(2)
(2)
(2) km
and
(1)
(1)
(1)
(1) km
OK
Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!


In the half hour before the second train starts, the first train travels (60)(1/2) = 30 km.

The second train catches up to the first train at a rate of (75-60)=15km/hr.

The number of hours it takes the second train to catch up to the first is 30/15 = 2.

ANSWER< 2 hours
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

A train leaves toronto to Montreal travelling (60km)/(h ) a second train leaves toronto heading for Montreal half an hour later at (75km)/(h) how long will it take for the second train to catch up to the first train?
Let time second train takes to catch up to 1st train be T

Then the 1st train had traveled for "T + l" hours before the second train caught up to it

We then get the following DISTANCE equation: 

60T + 30 = 75T

30 = 75T - 60T

30 = 15T

Time second train took to catch up to 1st train, or  

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