Two trains leave stations
560
miles apart at the same time and travel toward each other. One train travels at
95
miles per hour while the other travels at
105
miles per hour. How long will it take for the two trains to meet?

Question

Two trains leave stations 
560
 miles apart at the same time and travel toward each other. One train travels at 
95
 miles per hour while the other travels at 
105
 miles per hour. How long will it take for the two trains to meet?

anonymous · Answer

@Hero

anonymous · Answer

The answer is: 2.8 hours

aaronq · Answer

|dw:1449797415288:dw|

train 1 (x=0)

$x_f=x_i+v\Delta t=0+(95mi/hr)\Delta t$

train 1 (x=0)

$x_f=x_i+v\Delta t=560~mi+(-105mi/hr)\Delta t$

same final position, $x_f$. We have equation:

$(95mi/hr)\Delta t=560~mi-(105mi/hr)\Delta t$

Now we just solve for $\Delta t$

aaronq · Answer

i made a mistake (copying and pasting my own work)

the second time it says "train 1 (x=0)" was supposed to say "train 2 (x=560)"