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?

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Answers

BAGLA LALIT
Oct 06, 2019
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

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, thusDistance travelled by second train when they meet = X + 125We know that, Time = Distance/SpeedWe know that both trains travelled for the same time till they meet. Hence,⇒ 100X = 75X + 9375⇒ X = 375 Km∴ X + 125 = 500 KmHence the distance between the points P and Q = Distance travelled by train A & B= 375 + 500= 875 Km
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, thusDistance travelled by second train when they meet = X + 125We know that, Time = Distance/SpeedWe know that both trains travelled for the same time till they meet. Hence,⇒ 100X = 75X + 9375⇒ X = 375 Km∴ X + 125 = 500 KmHence the distance between the points P and Q = Distance travelled by train A & B= 375 + 500= 875 Km