At what time a train travelling at 50 miles per hour arrives at the station, if it is the 5 miles from the station at 5:00 pm.

speed = 50 miles/60 minutes

d = v t
5 = (5/6) t
t = 6 minutes
4:54 pm

6 min is correct ... but it is after 5:00 - not before

LOL, thanks ! Misread it.

To determine the time the train arrives at the station, we need to calculate the time it takes for the train to travel the remaining 5 miles.

First, let's determine the speed of the train in miles per minute. Since the train is traveling at 50 miles per hour, we can convert this to miles per minute by dividing by 60 (as there are 60 minutes in an hour).

50 miles/hour ÷ 60 minutes/hour = 0.83 miles/minute

Next, we can calculate the time it takes for the train to travel the remaining 5 miles by dividing the distance by the speed.

Time = Distance / Speed

Time = 5 miles ÷ 0.83 miles/minute ≈ 6.02 minutes

Now, to find the arrival time, we add the calculated time to the given departure time of 5:00 pm.

5:00 pm + 6.02 minutes ≈ 5:06 pm

Therefore, the train will arrive at the station at approximately 5:06 pm.