Two trains start at the same time from two stations and proceed towards each other at the rate of $20$ km/hr and $25$ km/hr respectively. When they meet, it is found that one train has travelled $80$ km more than the other. Find the distance between the two stations.
A$640$ km
B$700$ km
C$720$ km
D$800$ km
Answer & Solution
Correct answer: C. $720$ km
The difference in their speeds is $25-20=5$ km/hr, so the difference in distances covered each hour is $5$ km. Since one train has travelled $80$ km more, they must have met after $80/5=16$ hours. Their combined speed is $20+25=45$ km/hr, so total distance is $45\times 16=720$ km.
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