SSC CGL Exam > SSC CGL Questions > With average speed of 40km/hour, a train reac...
Start Learning for Free
With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey is
- a)30 km
- b)40 km
- c)70 km
- d)80 km
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
With average speed of 40km/hour, a train reaches its destination in ti...
Understanding the Problem
To solve the problem, we need to analyze the information given about the train's journey at two different speeds.
Key Information
- Average speed of the train at first scenario: 40 km/h
- Average speed of the train at second scenario: 35 km/h
- Delay when traveling at 35 km/h: 15 minutes (which is 0.25 hours)
Setting Up the Equation
Let the distance of the journey be 'D' km.
Time Calculation at 40 km/h
- Time taken to reach the destination on time:
Time = Distance / Speed
Time = D / 40 hours
Time Calculation at 35 km/h
- Time taken when late:
Time = D / 35 hours
Late Time Relationship
According to the problem, when the train goes at 35 km/h, it is late by 15 minutes (0.25 hours). Therefore, we can set up the equation:
(D / 35) - (D / 40) = 0.25
Finding a Common Denominator
The least common multiple of 35 and 40 is 280. Rewriting the equation:
- D/35 = 8D/280
- D/40 = 7D/280
Now substituting back into the equation:
(8D/280) - (7D/280) = 0.25
This simplifies to:
D/280 = 0.25
Solving for D
Multiplying both sides by 280 gives:
D = 0.25 * 280
D = 70 km
Conclusion
Thus, the total journey distance is 70 km, which corresponds to option 'C'.
To solve the problem, we need to analyze the information given about the train's journey at two different speeds.
Key Information
- Average speed of the train at first scenario: 40 km/h
- Average speed of the train at second scenario: 35 km/h
- Delay when traveling at 35 km/h: 15 minutes (which is 0.25 hours)
Setting Up the Equation
Let the distance of the journey be 'D' km.
Time Calculation at 40 km/h
- Time taken to reach the destination on time:
Time = Distance / Speed
Time = D / 40 hours
Time Calculation at 35 km/h
- Time taken when late:
Time = D / 35 hours
Late Time Relationship
According to the problem, when the train goes at 35 km/h, it is late by 15 minutes (0.25 hours). Therefore, we can set up the equation:
(D / 35) - (D / 40) = 0.25
Finding a Common Denominator
The least common multiple of 35 and 40 is 280. Rewriting the equation:
- D/35 = 8D/280
- D/40 = 7D/280
Now substituting back into the equation:
(8D/280) - (7D/280) = 0.25
This simplifies to:
D/280 = 0.25
Solving for D
Multiplying both sides by 280 gives:
D = 0.25 * 280
D = 70 km
Conclusion
Thus, the total journey distance is 70 km, which corresponds to option 'C'.
Attention SSC CGL Students!
To make sure you are not studying endlessly, EduRev has designed SSC CGL study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in SSC CGL.
|
Explore Courses for SSC CGL exam
|
|
Similar SSC CGL Doubts
Top Courses for SSC CGLView all
With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer?
Question Description
With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer?.
With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer?.
Solutions for With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL.
Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice With average speed of 40km/hour, a train reaches its destination in time. If it goes with an average speed of 35 km hour, it is late by 15 minutes. The total journey isa)30 kmb)40 kmc)70 kmd)80 kmCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
|
|
Explore Courses for SSC CGL exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup