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  4. A straight railway track has trains plying on it at a constant speed of 100 km / h. Two trains which are one after another pass a certain point on the track at an interval of 6 min. On a straight road parallel to the track, a car is moving in the same direction as the trains, at a speed of 60 km / h. At what time interval (in minute) the consecutive trains pass by the car?

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Q. A straight railway track has trains plying on it at a constant speed of $100 \,km / h$. Two trains which are one after another pass a certain point on the track at an interval of $6 \min$. On a straight road parallel to the track, a car is moving in the same direction as the trains, at a speed of $60\, km / h$. At what time interval (in minute) the consecutive trains pass by the car?

Motion in a Straight Line

Solution:

Separation between trains $=100\, km / h \times 6 \min$
Now speed of trains relative to car $=100-60=40\, km / h$
If $t$ is the interval of time passing through car, then
$ 40 \times t=100 \times 6$
$\Rightarrow t=\frac{100}{40} \times 6 \min =15 \min$