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A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train?
- a)480 km
- b)260 km
- c)240 km
- d)120 km
Correct answer is option 'C'. Can you explain this answer?
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A freight train left Delhi for Mumbai at an average speed of 40 km/hr....
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A freight train left Delhi for Mumbai at an average speed of 40 km/hr....
Given data:
Average speed of freight train from Delhi to Mumbai = 40 km/hr
Average speed of express train from Delhi to Mumbai = 60 km/hr
Time gap between the departure of two trains = 2 hours
To find:
Distance from Delhi where the express train meets the freight train
Solution:
Let's assume that the distance from Delhi where the express train meets the freight train is 'x' km.
Time taken by the freight train to cover the distance 'x' = x/40 hours
As per the given condition, the express train starts 2 hours later than the freight train. Therefore, the time taken by the express train to cover the same distance 'x' = (x/60)-2 hours
As both the trains are moving towards each other, the sum of their distances covered will be equal to the total distance between Delhi and Mumbai.
Total distance between Delhi and Mumbai = Distance travelled by the freight train + Distance travelled by the express train
Or, x = (x/40) + (x/60)-2
Or, x = 240 km
Therefore, the express train will meet the freight train at a distance of 240 km from Delhi.
Hence, the correct answer is option (c) 240 km.
Average speed of freight train from Delhi to Mumbai = 40 km/hr
Average speed of express train from Delhi to Mumbai = 60 km/hr
Time gap between the departure of two trains = 2 hours
To find:
Distance from Delhi where the express train meets the freight train
Solution:
Let's assume that the distance from Delhi where the express train meets the freight train is 'x' km.
Time taken by the freight train to cover the distance 'x' = x/40 hours
As per the given condition, the express train starts 2 hours later than the freight train. Therefore, the time taken by the express train to cover the same distance 'x' = (x/60)-2 hours
As both the trains are moving towards each other, the sum of their distances covered will be equal to the total distance between Delhi and Mumbai.
Total distance between Delhi and Mumbai = Distance travelled by the freight train + Distance travelled by the express train
Or, x = (x/40) + (x/60)-2
Or, x = 240 km
Therefore, the express train will meet the freight train at a distance of 240 km from Delhi.
Hence, the correct answer is option (c) 240 km.
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A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train?a)480 kmb)260 kmc)240 kmd)120 kmCorrect answer is option 'C'. Can you explain this answer?
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A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train?a)480 kmb)260 kmc)240 kmd)120 kmCorrect answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train?a)480 kmb)260 kmc)240 kmd)120 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train?a)480 kmb)260 kmc)240 kmd)120 kmCorrect answer is option 'C'. Can you explain this answer?.
A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train?a)480 kmb)260 kmc)240 kmd)120 kmCorrect answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train?a)480 kmb)260 kmc)240 kmd)120 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A freight train left Delhi for Mumbai at an average speed of 40 km/hr. Two hours later, an express train left Delhi for Mumbai, following the freight train on a parallel track at an average speed of 60 km/hr. How far from Delhi would the express train meet the freight train?a)480 kmb)260 kmc)240 kmd)120 kmCorrect answer is option 'C'. Can you explain this answer?.
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