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After traveling 60 km, a train crashed. so she completed the next journey at 2/3 of the original speed. at that time, it was 40 minutes late for her to reach her destination. if if the accident had happened 30 km further, it would have been only 20 minutes late. so what is the total speed of that train and the total distance traveled?
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After traveling 60 km, a train crashed. so she completed the next jour...
Problem Statement

A train travels 60 km and then crashes. After that, it completes the next journey at 2/3 of its original speed. As a result, it reaches its destination 40 minutes late. If the accident had happened 30 km further, it would have been only 20 minutes late. What is the total speed of the train and the total distance traveled?


Solution

Let's assume that:


  • x is the speed of the train before the accident

  • y is the distance traveled by the train before the accident

  • t1 is the time taken by the train to travel the distance y before the accident

  • t2 is the time taken by the train to travel the remaining distance after the accident

  • t3 is the time taken by the train to travel the additional 30 km after the accident

  • d1 is the distance traveled by the train after the accident before the additional 30 km

  • d2 is the total distance traveled by the train



Calculating the speed of the train after the accident

The speed of the train after the accident is 2/3 of its original speed. Therefore:

x2 = (2/3) * x


Calculating the time taken to travel the remaining distance after the accident

The time taken to travel the remaining distance after the accident can be calculated as:

t2 = (y - 60) / x2


Calculating the time taken to travel the additional 30 km after the accident

The time taken to travel the additional 30 km after the accident can be calculated as:

t3 = 20 / 60 = 1/3 hours


Calculating the time taken to travel the distance before the accident

The time taken to travel the distance before the accident can be calculated as:

t1 = 60 / x


Calculating the distance traveled by the train after the accident before the additional 30 km

The distance traveled by the train after the accident before the additional 30 km can be calculated as:

d1 = t2 * x2


Calculating the total distance traveled by the train

The total distance traveled by the train can be calculated as:

d2 = y + d1 + 30


Calculating the time taken to travel the total distance

The time taken to travel the total distance can be calculated as:

t = t1 + t2 + t3


Calculating the speed of the train

The speed of the train can be calculated as:

x = d2 / t


Calculating the
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After traveling 60 km, a train crashed. so she completed the next journey at 2/3 of the original speed. at that time, it was 40 minutes late for her to reach her destination. if if the accident had happened 30 km further, it would have been only 20 minutes late. so what is the total speed of that train and the total distance traveled?
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After traveling 60 km, a train crashed. so she completed the next journey at 2/3 of the original speed. at that time, it was 40 minutes late for her to reach her destination. if if the accident had happened 30 km further, it would have been only 20 minutes late. so what is the total speed of that train and the total distance traveled? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about After traveling 60 km, a train crashed. so she completed the next journey at 2/3 of the original speed. at that time, it was 40 minutes late for her to reach her destination. if if the accident had happened 30 km further, it would have been only 20 minutes late. so what is the total speed of that train and the total distance traveled? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for After traveling 60 km, a train crashed. so she completed the next journey at 2/3 of the original speed. at that time, it was 40 minutes late for her to reach her destination. if if the accident had happened 30 km further, it would have been only 20 minutes late. so what is the total speed of that train and the total distance traveled?.
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