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23 votes
23 votes
Two trains leave stations 392 miles apart at the same time and travel towards each other. One train travels at 80 miles per hour. How long will it take for the two trains to meet?

Two trains leave stations 392 miles apart at the same time and travel towards each-example-1
User Cynod
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1 Answer

21 votes
21 votes

time = 2.8 hours

Step-by-step explanation:

Speed of 1st train = 60 miles per hour

Speed of the second train = 80 miles per hour

let the time both trains meet = t

distance of the trains apart = 392 miles

Speed = distance/time

distance = speed(time)

Distance covered by train 1 + Distance covered by train 2 = Distance apart

Distance covered by train 1 = speed of 1st train (time)

Distance covered by train 1 = 60(t) = 60t

Distance covered by train 2 = speed of 2nd train (time)

Distance covered by train 2 = 80(t) = 80t

60t + 80t = 392

140t = 392

t = 392/140

t = 2.8 hours

User Atomocopter
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