# A taxi leaves the station X for station Y every 10 minutes.simultaneously, a taxi leaves the station Y also for station X every 10 minutes. The taxi move at the same constant speed and go from X to Y or vice-versa in 2 hours. How many taxis coming from the other side will each taxi meet enroute from Y to X ?​

Dear Student,

According to the given information in the question,

One taxi leaves every 10 minutes, thus at any instant there will be 11 taxies on the way towards each station, one will be arriving and another leaving the other station.

Here, you can find the location of taxies going from X to Y at the instant 2 PM

The taxi which left the station X at 0:00 PM has just arrived at the station Y.

Suppose the taxi is leaving the station Y at 2P.M.. It will meet all the 11 taxies marked 1 to 11 as well as other 12 other taxies which would leave the station X from 2 PM to 3:50 PM.

When it arrives at the station X at 4 PM, there will be one more taxi leaving that station.

However it will not be counted among the taxies crossed by taxi under consideration.

Therefore it will cross 23 taxies leaving the station X from 0:10 PM to 3:50 PM.