# Word Problem 1

**Problem 1 : There are two trains namely T1 and T2, with lengths of 65 m and 55 m respectively, and are running in the same direction with speeds of 20 km/hr and 47 km/hr respectively. The faster train will cross totally the slower one in how many seconds ?**

**Solution: **

Length of Train T1;

Length of Train T2;

Speed of train T1;

Speed of train T2;

As Train T2 is moving faster than Train T1 so, the net speed by which Train T2 will cross Train T1 is given by;

Because there are 1000 meters in ikm and 3600 seconds in 1 hour, so;

Train T2 while crossing Train T1 with net speed of 7.5 m/sec will cover distance equal to sum of lengths of both trains;

so we use formula;

Put distance,

and for Train T2 net speed;

We get,

**So. Train T2 will completely cross Train T1 in 16 seconds.**

(basic mathematics for general public)

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