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Two trains start at the same time from two point P and Q and proceed towards each other at the speed of 75 km/hr and 100 km/hr respectively. When they meet, it is found that first train has travelled 125 km less than the second train. Find the distance between point P and Q.
  • a)
    1365 km
  • b)
    540 km
  • c)
    560 km
  • d)
    875 km
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two trains start at the same time from two point P and Q and proceed t...
Let the distance travelled by first train till the point they meet be X km. Since the second train travelled 125 Km more than the first one, thus
Distance travelled by second train when they meet = X + 125
We know that, Time = Distance/Speed
We know that both trains travelled for the same time till they meet. Hence,

⇒ 100X = 75X + 9375
⇒ X = 375 Km
∴ X + 125 = 500 Km
Hence the distance between the points P and Q = Distance travelled by train A & B
= 375 + 500
= 875 Km
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Most Upvoted Answer
Two trains start at the same time from two point P and Q and proceed t...
Given data:
- Speed of first train = 75 km/hr
- Speed of second train = 100 km/hr
- Distance travelled by the first train when they meet = Distance travelled by the second train + 125 km

To find:
- Distance between point P and Q

Solution:
Let the distance between point P and Q be 'd'.
Let the time taken by the trains to meet be 't'.
Using the formula, distance = speed × time, we can write:
- Distance travelled by the first train = 75t
- Distance travelled by the second train = 100t
- Distance travelled by the first train = Distance travelled by the second train + 125
=> 75t = 100t + 125
=> 25t = 125
=> t = 5 hours

Substituting the value of 't' in the equations for distance travelled, we get:
- Distance travelled by the first train = 75 × 5 = 375 km
- Distance travelled by the second train = 100 × 5 = 500 km

Therefore, the distance between point P and Q is:
d = distance travelled by first train + distance travelled by second train
= 375 + 500
= 875 km

Hence, the correct answer is option 'D'.
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Two trains start at the same time from two point P and Q and proceed towards each other at the speed of 75 km/hr and 100 km/hr respectively. When they meet, it is found that first train has travelled 125 km less than the second train. Find the distance between point P and Q.a)1365 kmb)540 kmc)560 kmd)875 kmCorrect answer is option 'D'. Can you explain this answer?
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Two trains start at the same time from two point P and Q and proceed towards each other at the speed of 75 km/hr and 100 km/hr respectively. When they meet, it is found that first train has travelled 125 km less than the second train. Find the distance between point P and Q.a)1365 kmb)540 kmc)560 kmd)875 kmCorrect answer is option 'D'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about Two trains start at the same time from two point P and Q and proceed towards each other at the speed of 75 km/hr and 100 km/hr respectively. When they meet, it is found that first train has travelled 125 km less than the second train. Find the distance between point P and Q.a)1365 kmb)540 kmc)560 kmd)875 kmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains start at the same time from two point P and Q and proceed towards each other at the speed of 75 km/hr and 100 km/hr respectively. When they meet, it is found that first train has travelled 125 km less than the second train. Find the distance between point P and Q.a)1365 kmb)540 kmc)560 kmd)875 kmCorrect answer is option 'D'. Can you explain this answer?.
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