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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?
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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
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
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'.
- 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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