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1.) A train 100 m long is running at the speed of 30 km / hr. find the time taken by it to pass a man standing near the railway line.

** A.** 12 sec **B.** 23 sec

**C.** 16 sec **D.** None of these

**View Answer**

**Answer:**Option

**A**

**Explanation:**

Speed of the train = (30 x 5/18) m / sec = (25/3) m/ sec.

Distance moved in passing the standing man = 100 m.

Required time taken = 100/ (25/3) = (100 *(3/25)) sec = 12 sec

2.) A train is moving at a speed of 132 km/br. If the length of the train is 110 meters, how long will it take to cross a railway platform 165 meters long?

** A.** 8½ sec **B.** 7½

**C.** 5 ^{3/}_{2} **D.** None of these

**View Answer**

**Answer:**Option

**B**

**Explanation:**

**Sol.** Speed of train = 132 *(5/18) m/sec = 110/3m/sec.

Distance covered in passing the platform = (110 + 165) m = 275 m.

Time taken =275 *(3/110) sec =15/2 sec = 7½ sec

3.) A man is standing on a railway bridge which is 180 m long. He finds that a train crosses the bridge in 20 seconds but himself in 8 seconds. Find the length of the train and its speed?

** A.** 42 km **B.** 54 km

**C.** 66 km **D.** None of these

**View Answer**

**Answer:**Option

**B**

**Explanation:**

Let the length of the train be x meters,

The train covers x meters in 8 seconds and (x + 180) meters in 20 sec

X/8=(x+180)/20 ó 20x = 8 (x + 180) <=> x = 120.

Length of the train = 120 m.

Speed of the train = (120/8) m/sec = m/sec = (15 *18/5) kmph = 54 km

4.) A train 150 m long is running with a speed of 68 kmph. In what time will it pass a man who is running at 8 kmph in the same direction in which the train is going?

** A.** 9 sec **B.** 13 sec

**C.** 16 sec **D.** None of these

**View Answer**

**Answer:**Option

**A**

**Explanation:**

Speed of the train relative to man = (68 - 8) kmph

= (60* 5/18) m/sec = (50/3) m/sec

Time taken by the train to cross the man

= Time taken by it to cover 150 m at 50/3 m/sec = 150 *3/ 50 sec

= 9 sec

5.) A train 220 m long is running with a speed of 59 kmph. In what will it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going?

** A.** 12 sec **B.** 23 sec

**C.** 16 sec **D.** 31 sec

**View Answer**

**Answer:**Option

**A**

**Speed of the train relative to man = (59 + 7) kmph**

Explanation:

Explanation:

= 66 *5/18 m/sec = 55/3 m/sec.

Time taken by the train to cross the man

= Time taken by it to cover 220 m

at (55/3) m / sec = (220 *3/55) sec = 12 sec