Question

train #1 is traveling at 90 mph. train #2 is traveling at 95 mph. if the distance traveled is 462.5 miles, how long will it take before the 2 trains meet

Answer 1

train #1 is traveling at 90 mph. train #2 is traveling at 95 mph. if the distance traveled is 462.5 miles, how long will it take before the 2 trains meet

First train distance:

$$S _ {1} = v _ {1} t$$

Second train distance:

$$S _ {2} = v _ {2} t$$ $$S = S _ {1} + S _ {2} = v _ {1} t + v _ {2} t = (v _ {1} + v _ {2}) t \rightarrow t = \frac {S}{v _ {1} + v _ {2}}$$ $$t = \frac {462.5 \text{ miles}}{90 \text{ mph} + 95 \text{ mph}} = 2.5 h$$

Answer: $t = 2.5h$