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- Question
- A 400 m long train takes 36 s to cross a man walking at 20 km/h in the direction opposite to that of the train. What is the speed of the train?
Options- A. 20 km/h
- B. 30 km/h
- C. 15 km/h
- D. 11 km/h
- Correct Answer
- 20 km/h
ExplanationRelative speed of train = 400/36 m/s = 400/36 x (18/5) = 40 km/h
Relative speed of train = Speed of train + Speed of man
? 40 = Speed of train + 20
? Speed of train = 40 - 20 = 20 km/h - 1. Two train of length 70 m and 90 m are moving in opposite directions at 10 m/s and 6 m/s, respectively. Find the time taken by trains to cross each other .?
Options- A. 10 s
- B. 8 s
- C. 12 s
- D. 16 s Discuss
- 2. A train travelling with uniform speed crosses two bridges of lengths 300 m and 240 m in 21 s and 18 s respectively. Find the speed of the train?
Options- A. 72 km/h
- B. 68 km/h
- C. 65 km/h
- D. 60 km/h Discuss
- 3. The lengths of a train and a platform are equal. If a train running at a speed of 90 km/h, crossed the platform in 1min, then find the length of the train.?
Options- A. 500 m
- B. 550 m
- C. 600 m
- D. 750 m Discuss
- 4. A train moving with uniform speed crosses a pole in 2 s and a 250 m long bridge in 7 s. Find the length of the train?
Options- A. 150 m
- B. 120 m
- C. 100 m
- D. 80 m Discuss
- 5. A train crosses a bridge of length 150 m in 15 s and a man standing on it in 9 s. The train is travelling at a uniform speed. Length of the train is?
Options- A. 225 m
- B. 200 m
- C. 135 m
- D. 90 m Discuss
- 6. Two trains of lengths 105 m and 90 m, respectively run at the speeds of 45 km/h and 72 km/h, respectively in opposite directions on parallel tracks. Find the time which they take to cross each other?
Options- A. 5 s
- B. 6 s
- C. 7 s
- D. 8 s Discuss
- 7. A 110 m long train is running at a speed of 60 km/h. How many seconds, does it take to cross an another train of length 170 m, which is standing on parallel track?
Options- A. 15.6 s
- B. 16.8 s
- C. 17.2 s
- D. 18 s Discuss
- 8. Two train of equal length are running on parallel lines in the same direction at 46 km/h and 36 km/h. The faster train passes the slower train in 36 s. The length of each trains is?
Options- A. 82 m
- B. 50 m
- C. 80 m
- D. 72 m Discuss
- 9. Two trains of same length are running in parallel tracks in opposite directions with speeds 65 km/h and 85 km/h respectively. They cross each other in 6 s . The length of each train is?
Options- A. 100 m
- B. 115 m
- C. 125 m
- D. 150 m Discuss
- 10. Two train start at the same time from points x and y towards each other and after crossing, they take 9 h and 4 h in reaching points y and x, respectively. Find the ratio of speeds of the 1st train to that of the 2nd train?
Options- A. 2 : 3
- B. 3 : 2
- C. 2 : 5
- D. 5 : 3 Discuss
Problems on Trains
Search Results
Correct Answer: 10 s
Explanation:
According to the formula .
Required time = (x + y) / (u + v)
Here, x = 70 m, y = 90 m, u = 10 m/s and v = 6 m/s
? Required time = (70 + 90) / (10 + 6) = 160/16 = 10 s
Correct Answer: 72 km/h
Explanation:
Let length of the train = L
According to the question,
(L + 300)/21 = (L + 240)/18
? (L + 300)/7 = (L + 240)/6
? 6L + 1800 = 7L + 1680
? L = 120 m
Taking the length of the 2nd bridge into consideration,
Speed of train = (L+ 240)/18 = (120 + 240)/18 m/s
= (360/18) x (18/5) km/h
= 72 km/h
Correct Answer: 750 m
Explanation:
Let length of both train and platform be L.
Distance covered by the train to cross the platform = L + L = 2L
Time =1 min = 60 s
and speed = 90 km/h = 90 x 5/18 = 25 m/s
? Distance = Speed x Time
? 2L = 25 x 60
? L = 750 m
Correct Answer: 100 m
Explanation:
Let length of the train be L m.
According to the question,
L/2 = (L + 250)/7
? 7L = 2L + 500
? 7L - 2L = 500
? 5L = 500
? L = 500/5 = 100 m
Correct Answer: 225 m
Explanation:
Let the length of the train be L m.
According to the question,
L/9 = Speed ...(i)
and (L + 150)/15 = Speed ..(ii)
from Eqs. (i) and (ii) we get
L/9 = (L + 150)/15
? L/3 = (L + 150)/5
? 5L = 3L + 450
? L = 225 m
Correct Answer: 6 s
Explanation:
Total length of the train = 105 + 90 = 195 m
Relative speed = 72 + 45 km/h = 117 km/h = 117 x (5/18) = 585/18 m/s
? Required time = (195 x (18/585) s = 6 s
Correct Answer: 16.8 s
Explanation:
Speed = 60 km/h = 60 x (5/18) m/s = 50/3 m/s
Required time = (110 + 170) / (50/3) = (280 x 3)/50 = 16.8 s
Correct Answer: 50 m
Explanation:
Let the length of each train be L m.
Relative speed = 46 - 36 = 10 km/h = 10 x 5/18 m/s = 25/9 m/s
Sum of length of train / Relative speed of train = Time taken
? 2L/(25/9) = 36
? 2L = (36 x 25)/9 = 100
? L = 50 m.
Correct Answer: 125 m
Explanation:
Let length of each train be L m.
Then. (65 + 85 ) x 5/18 = (L + L)/6
? (150 x 5 x 6)/18 = 2L
? 2L = 250
? L = 125 m
Correct Answer: 2 : 3
Explanation:
Given that, T1 = 9 h and T 2 = 4 h
According to the formula.
(1st train's speed) : (2nd train's speed) = ?4 : ?9
= 2 : 3
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