SOLUTION: Howard and Rineville are 100 miles apart. One train leaves Howard traveling towards Rineville at an average speed of 30 mph. Another train leaves Rineville at the same time traveli

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Question 893801: Howard and Rineville are 100 miles apart. One train leaves Howard traveling towards Rineville at an average speed of 30 mph. Another train leaves Rineville at the same time traveling towards Howard at an average speed of 45 mph. a. How long will it take them to meet?
Answer by algebrahouse.com(1659) About Me  (Show Source):
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Distance = rate x time
d = rt

One train:
distance = d
rate = 30
time = t
d = 30t {distance = rate x time}

Other train:
distance = d
rate = 45
time = t
d = 45t {distance = rate x time}

30t + 45t = 100 {the combined distance of the two trains, when they meet, is 100}
75t = 100 {combined like terms}
t = 1 1/3 hours

In 1 hour and 20 minutes they will meet

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