Question:
A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from the opposite direction in 6 seconds. The speed of the second train is
A train 108 m long moving at a speed of 50 km/hr crosses a train 112 m long coming from the opposite direction in 6 seconds. The speed of the second train is
Updated On: Dec 1, 2025
- 48 km/hr
- 54 km/hr
- 66 km/hr
- 82 km/hr
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
The correct option is (D):Lengths of both trains =\(108 + 112 = 220m\)
Speed of train1 = 50 km/hr
Speed of train2 = \(x\)km/hr
Relative speeds of both trains (in m/s) =\((50+x)\times\frac{5}{18}\)
Using speed\((50+x)\times\frac{5}{18}=\frac{220}{6}\)
\(50 + x = 132\)
\(x = 132 − 50 = 82\)
\(\therefore\) Speed of second train = 82 km/hr
Speed of train1 = 50 km/hr
Speed of train2 = \(x\)km/hr
Relative speeds of both trains (in m/s) =\((50+x)\times\frac{5}{18}\)
Using speed\((50+x)\times\frac{5}{18}=\frac{220}{6}\)
\(50 + x = 132\)
\(x = 132 − 50 = 82\)
\(\therefore\) Speed of second train = 82 km/hr
Was this answer helpful?
0
0
Top MAT Mathematics Questions
- Average age of a nuclear family of 4 members, five years ago was 12 years. On including age of the boy from neighbourhood, the present average age is 15 years. What is the present age of the boy from the neighbourhood?
- A bag contains 25-paise, 50-paise and 1-rupee coins in the ratio 4:2:5. If the total value of all the coins in the bag is Rs. 770, then find the value of all the 25 paise and 50 paise coins in the bag.
- MAT - 2026
- Mathematics
- Ratio and Proportion
- In 15 days, 9 women and 15 girls can reap a field. In what time could 15 women and 16 girls reap the same field, assuming 3 women can do as much work as 4 girls?
- MAT - 2026
- Mathematics
- Time and Work
- If a train runs at 50 km/hr, it reaches 60 minutes earlier than its schedule time at its destination but if it runs at 8.33 m/s it reaches at its destination 300 minutes late, find the correct time for the train to complete its journey.
- MAT - 2026
- Mathematics
- Time, Speed and Distance
- The half of the average value of three number is 20. The second number is thrice the third number and first number is twice the second number. What is the sum of smallest and largest number?
- MAT - 2026
- Mathematics
- Number System
View More Questions
Top MAT Problem on Trains Questions
- A man sitting in a train travelling at the rate of 50 km/hr observes that it takes 9 sec for a goods train travelling in the opposite direction to pass him. If the goods train is 187.5 m long, find its speed.
- MAT - 2021
- Mathematics
- Problem on Trains
- Two trains, 330 and 110 m long, are going in the same direction. The faster train takes one minute to pass the other completely. If they are moving in opposite directions, they pass each other completely in 3 s. What is the speed of the faster train?
- MAT - 2013
- Mathematics
- Problem on Trains
- Raghu travelled 1200 km by air which formed \(\frac{2}{3}{th}\) of his trip. One - third of the whole trip he travelled by car and the rest of the journey he did by train. The distance travelled by train is
- MAT - 2012
- Mathematics
- Problem on Trains
- A person travels 285 km in 6 hrs in two stages. In the first part of the journey, he travels by bus at the speed of 40 km per hr. In the second part of the journey, he travels by train at the speed of 55 km per hr. How much distance did he travel by train?
- MAT - 2008
- Mathematics
- Problem on Trains
- Two persons are walking in the same direction at rates 3 km/ hr and 6 km/hr. A train comes running from behind and passes them in 9 and 10 seconds. The speed of the train is
- MAT - 2008
- Mathematics
- Problem on Trains
View More Questions
Top MAT Questions
- Average age of a nuclear family of 4 members, five years ago was 12 years. On including age of the boy from neighbourhood, the present average age is 15 years. What is the present age of the boy from the neighbourhood?
- MAT - 2026
- Average
- A positive number is exactly divisible by 4 and 3 both. What is that number?
I. It is greater than 15
II. It is less than 14- MAT - 2026
- Data Sufficiency
- What should come in place of question mark (?) in the following number/alphabetic series?
X U S P N K ?- MAT - 2026
- Series
- A bag contains 25-paise, 50-paise and 1-rupee coins in the ratio 4:2:5. If the total value of all the coins in the bag is Rs. 770, then find the value of all the 25 paise and 50 paise coins in the bag.
- MAT - 2026
- Ratio and Proportion
- Aman walks 1 km towards East and then he turns to South and walks 5 km. Again he turns to East and walks 2 km, after this he turns to North and walks 9 km. Now, how far is he from his starting point?
- MAT - 2026
- Direction and Distance
View More Questions