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**1. A train is running at a speed of 40 km/hr and it crosses a post in 18 seconds. What is the length of the train?**

**A. 190 metres**

**B. 160 metres**

**C. 200 metres**

**D. 120 metres**

**Answer :** Option C

Explanation :

Speed of the train, v = 40 km/hr = 40000/3600 m/s = 400/36 m/s

Time taken to cross, t = 18 s

Distance Covered, d = vt = (400/36)Ã— 18 = 200 m

Distance covered is equal to the length of the train = 200 m

**2. A train ,130 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is**

**A. 270 m**

**B. 245 m**

**C. 235 m**

**D. 220 m**

**Answer :** Option B

Explanation :

Assume the length of the bridge = x meter

Total distance covered = 130+x meter

total time taken = 30s

speed = Total distance covered /total time taken = (130+x)/30 m/s

=> 45 Ã— (10/36) = (130+x)/30

=> 45 Ã— 10 Ã— 30 /36 = 130+x

=> 45 Ã— 10 Ã— 10 / 12 = 130+x

=> 15 Ã— 10 Ã— 10 / 4 = 130+x

=> 15 Ã— 25 = 130+x = 375

=> x = 375-130 =245

**3. A train has a length of 150 meters . it is passing a man who is moving at 2 km/hr in the same direction of the train, in 3 seconds. Find out the speed of the train.**

**A. 182 km/hr**

**B. 180 km/hr**

**C. 152 km/hr**

**D. 169 km/hr**

**Answer : **Option A

Explanation :

Length of the train, l = 150m

Speed of the man , Vm= 2 km/hr

Relative speed, Vr = total distance/time = (150/3) m/s = (150/3) Ã— (18/5) = 180 km/hr

Relative Speed = Speed of train, Vt - Speed of man (As both are moving in the same direction)

=> 180 = Vt - 2

=> Vt = 180 + 2 = 182 km/hr

**4. A train having a length of 240 m passes a post in 24 seconds. How long will it take to pass a platform having a length of 650 m?**

**A. 120 sec**

**B. 99 s**

**C. 89 s**

**D. 80 s**

**Answer : **Option C

Explanation :

v = 240/24 (where v is the speed of the train) = 10 m/s

t = (240+650)/10 = 89 seconds

**5. A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 140 m long?**

**A. 38 sec**

**B. 35 s**

**C. 44 sec**

**D. 40 s**

**Answer : **Option D

Explanation :

Speed = 45 km/hr = 45Ã—(10/36) m/s

= 150/12 = 50/4 = 25/2 m/s

Total distance = length of the train + length of the platform

= 360 + 140 = 500 meter

Time taken to cross the platform = 500/(25/2) = 500Ã—2/25 = 40 seconds

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