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maths puzzle

Passengers are queuing outside the Railway Station at a Constant Rate. If the railway authorities open up 3 gates, it takes 9 minutes to clear the queue. If instead the railway authorities were to open 5 gates, the queue would have got cleared in 5 minutes. How many minutes before opening of the gates did the first passenger arrive at the station?
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Original post by shubhro
Passengers are queuing outside the Railway Station at a Constant Rate. If the railway authorities open up 3 gates, it takes 9 minutes to clear the queue. If instead the railway authorities were to open 5 gates, the queue would have got cleared in 5 minutes. How many minutes before opening of the gates did the first passenger arrive at the station?


is it a challenge for the people here ...?
or do you need help?

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