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When will two trains meet

6/17/2014

3 Comments

 
Two trains leave a station, 304 miles apart, at the same time and travel toward each other. One train travels at 105 miles per hour, while the other travels at 85 miles per hour. How long will it take for the two trains to meet?
Distance = rate x time
d = rt 


One train
distance = d
rate = 105
time = t   {the two trains left at same times}
d = 105t   {distance = rate x time} 

Other train
distance = d
rate = 85
time = t   {the two trains left at same times}
d = 85t   {distance = rate x time} 

105t + 85t = 304   {the two trains' combined distance equals 304}
190t = 304   {combined like terms}
t = 1.6   {divided each side by 190} 

the two trains will meet in 1.6 hours
which is 1 hour and 36 minutes

- Algebra House

3 Comments
Makenah Giarrusso
9/1/2023 11:04:39 am

This makes more sense

Reply
Algebra House
9/1/2023 11:16:23 am

Thank you!

Reply
train speed test online link
9/3/2023 04:05:32 pm

This blog on "When Will Two Trains Meet" is a fantastic resource for anyone looking to understand the intriguing dynamics of train travel and the mathematics behind predicting their meeting points. The author's clear and concise explanations, accompanied by real-world examples, make complex concepts easily digestible for readers of all levels. I particularly appreciated the inclusion of practical tips and formulas that can be applied in various scenarios, making it not only an enlightening read but also a valuable reference. Whether you're a student studying physics or simply a curious train enthusiast, this blog is a must-read that will leave you with a newfound appreciation for the fascinating world of locomotion.

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