SOLUTION: Two trains depart towards from two stations which distance is 900 km
and meet in the middle of the distance. The departure of the first train is 1 hour
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and meet in the middle of the distance. The departure of the first train is 1 hour
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Question 1040971: Two trains depart towards from two stations which distance is 900 km
and meet in the middle of the distance. The departure of the first train is 1 hour
later than the departure of the second train but it’s speed is 5 km/hour greater.
Find the speed of each of trains.
You can put this solution on YOUR website! The distance is 900km; they meet in the middle, having traveled 450km each. Let n be the speed of the first train. Then:
(450/n)-1=450/(n+5)
450(n+5)-(n²+5n)=450n
450n+2250-n²-5n=450n
n²+5n-2250=0
(n+50)(n-45)=0
n=45
The first train went 45 kph for 10 hours; the second train went 50 kph for 9 hours ☺☺☺☺
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