Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/...

Two trains start at same time from two stations and proceed towards each other at the rate of 20 km/hr and 25 km/hr respectively. When they meet, it is found that one train has traveled 60 km more than the other. What is the distance between the two stations?

Answer/Solution

540 km

Steps/Work

Explanation:
Let us assume that trains meet after 'x' hours
Distance = speed * Time
Distance traveled by two trains = 20x km and 25x km resp.
As one train travels 60 km more than the other,
25x – 20x = 60
5x = 60
x = 12 hours
As the two trains are moving towards each other, relative speed = 20 + 25 = 45 km/hr
Therefore, total distance = 45*12 = 540 km.
ANSWER: A

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Two trains start at same time from two stations and proceed towards each other at the rate of km / hr and km / hr respectively. When they meet, it is found that one train has traveled km more than the other. What is the distance between the two stations?

Calculated Answer

540

Step by Step Solution

In order to solve problem, you must evaluate (n₀ + n₁) * n₂ / (n₁ - n₀).

n₀ =	20
n₁ =	25
n₂ =	60

(n₀ + n₁) * n₂ / (n₁ - n₀)
Evaluate n₀ + n₁ = 45
45 * n₂ / (n₁ - n₀)
Evaluate n₁ - n₀ = 5
45 * n₂ / 5
Evaluate n₂ / 5 = 12
45 * 12
Evaluate 45 * 12 = 540
540
The answer to the problem and the result of (n₀ + n₁) * n₂ / (n₁ - n₀) is 540

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Answer/Solution

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