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A fly is flying between two trains, each travelling towards each other on the same

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A fly is flying between two trains, each travelling towards each other on the same
track at 60 km/h. The fly reaches one engine, reverses itself immediately, and
flies back to the other engine, repeating the process each time.
The fly is flying at 90 km/h. If the fly flies 180 km before the trains meet, how far
apart were the trains initially?

asked Mar 29, 2012 in Puzzle by kapila (595 points)
    

1 Answer

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Initially, the trains were 240 km apart.
The fly is flying at the speed of 90 km/h and covers 180 km. Hence, the fly flies for 2 hours after trains started.
It's obvious that trains met 2 hours after they started travelling towards each other. Also, trains were travelling at the speed of 60 km/h. So, each train traveled 120 km before they met.
Hence, the trains were 240 km apart initially.
What is the minimum number of numbers needed to form every number from 1 to 7,000? Example: To form 4884, you would need 2 4s & 2 8s. 4822 requires a 4,
a 8, & 2 2s, but you would not count the numbers again that you had already counted from making 4884.

answered Mar 29, 2012 by kapila (595 points)