Question 1040971
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 &#9786;&#9786;&#9786;&#9786;