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Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is (3/4) times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr, what was the average speed from Chandigarh to Shimla?
- a)39.2 km/hr
- b)63 km/hr
- c)42 km/hr
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Shyam went from Delhi to Shimla via Chandigarh by car. The distance fr...
The ratio of the distances between (Delhi-Chandigarh) : (Chandigarh-Shimla) = 3 : 4.
The ratio of the speeds between (Delhi-Chandigarh) : (Chandigarh-Shimla) = 3 : 2.
Let the distances be 3x & 4x respectively and speeds be 3y and 2y.
So the time taken will be ( x/y ) and ( 2x/y ) respectively
Since average speed is given as (Total Distance) (Total Time) = (7x) x/y + 2x/y = 7y/3 = 49. Hence y = 21
So the average speed from Chandigarh to Shimla = 2y = 42 kmph.
The ratio of the speeds between (Delhi-Chandigarh) : (Chandigarh-Shimla) = 3 : 2.
Let the distances be 3x & 4x respectively and speeds be 3y and 2y.
So the time taken will be ( x/y ) and ( 2x/y ) respectively
Since average speed is given as (Total Distance) (Total Time) = (7x) x/y + 2x/y = 7y/3 = 49. Hence y = 21
So the average speed from Chandigarh to Shimla = 2y = 42 kmph.
Most Upvoted Answer
Shyam went from Delhi to Shimla via Chandigarh by car. The distance fr...
To solve this problem, let's break it down into smaller steps:
Step 1: Let's assume the distance from Chandigarh to Shimla is 'x' km.
So, the distance from Delhi to Chandigarh will be (3/4)x km.
Step 2: Now, let's assume the average speed from Chandigarh to Shimla is 'y' km/hr.
Therefore, the average speed from Delhi to Chandigarh will be (1/2)y km/hr.
Step 3: To calculate the average speed for the entire journey, we can use the formula:
Average speed = Total distance / Total time
Step 4: Let's calculate the total distance first.
Total distance = Distance from Delhi to Chandigarh + Distance from Chandigarh to Shimla
Total distance = (3/4)x + x
Total distance = (7/4)x
Step 5: Now, let's calculate the total time.
Total time = Time taken from Delhi to Chandigarh + Time taken from Chandigarh to Shimla
Total time = (Distance from Delhi to Chandigarh) / (Average speed from Delhi to Chandigarh) + (Distance from Chandigarh to Shimla) / (Average speed from Chandigarh to Shimla)
Step 6: Substituting the values in the above equation, we get:
Total time = [(3/4)x] / [(1/2)y] + x / y
Step 7: We are given that the average speed for the entire journey is 49 km/hr.
Therefore, we can write:
49 = (7/4)x / [(1/2)y] + x / y
Step 8: Let's simplify the equation:
49 = (14/4)x / y + (4/4)x / y
49 = (18/4)x / y
Step 9: Cross-multiplying, we get:
(18/4)x = 49y
Step 10: Simplifying further, we get:
x = (49y * 4) / 18
x = (7y * 4) / 3
x = (28y) / 3
Step 11: Now, let's substitute the value of 'x' in the equation from Step 4:
Total distance = (7/4)x
Total distance = (7/4) * (28y) / 3
Total distance = (7 * 28y) / (4 * 3)
Total distance = 49y
Step 12: Now, let's substitute the values of Total distance and Total time in the equation from Step 5:
49 = [(3/4)x] / [(1/2)y] + x / y
49 = (3/4)(49y) / [(1/2)y] + 49y / y
49 = (3/4)(49) / [(1/2)] + 49
49 = (3/4)(49) / [(1/2)] + 49
49 = 36.75 / 0.5 + 49
49 = 73.5 + 49
49 = 122.5
Step 13: This is not possible as both sides of the equation are not equal.
Therefore, there is an error in the question or the answer choices.
H
Step 1: Let's assume the distance from Chandigarh to Shimla is 'x' km.
So, the distance from Delhi to Chandigarh will be (3/4)x km.
Step 2: Now, let's assume the average speed from Chandigarh to Shimla is 'y' km/hr.
Therefore, the average speed from Delhi to Chandigarh will be (1/2)y km/hr.
Step 3: To calculate the average speed for the entire journey, we can use the formula:
Average speed = Total distance / Total time
Step 4: Let's calculate the total distance first.
Total distance = Distance from Delhi to Chandigarh + Distance from Chandigarh to Shimla
Total distance = (3/4)x + x
Total distance = (7/4)x
Step 5: Now, let's calculate the total time.
Total time = Time taken from Delhi to Chandigarh + Time taken from Chandigarh to Shimla
Total time = (Distance from Delhi to Chandigarh) / (Average speed from Delhi to Chandigarh) + (Distance from Chandigarh to Shimla) / (Average speed from Chandigarh to Shimla)
Step 6: Substituting the values in the above equation, we get:
Total time = [(3/4)x] / [(1/2)y] + x / y
Step 7: We are given that the average speed for the entire journey is 49 km/hr.
Therefore, we can write:
49 = (7/4)x / [(1/2)y] + x / y
Step 8: Let's simplify the equation:
49 = (14/4)x / y + (4/4)x / y
49 = (18/4)x / y
Step 9: Cross-multiplying, we get:
(18/4)x = 49y
Step 10: Simplifying further, we get:
x = (49y * 4) / 18
x = (7y * 4) / 3
x = (28y) / 3
Step 11: Now, let's substitute the value of 'x' in the equation from Step 4:
Total distance = (7/4)x
Total distance = (7/4) * (28y) / 3
Total distance = (7 * 28y) / (4 * 3)
Total distance = 49y
Step 12: Now, let's substitute the values of Total distance and Total time in the equation from Step 5:
49 = [(3/4)x] / [(1/2)y] + x / y
49 = (3/4)(49y) / [(1/2)y] + 49y / y
49 = (3/4)(49) / [(1/2)] + 49
49 = (3/4)(49) / [(1/2)] + 49
49 = 36.75 / 0.5 + 49
49 = 73.5 + 49
49 = 122.5
Step 13: This is not possible as both sides of the equation are not equal.
Therefore, there is an error in the question or the answer choices.
H
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Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is (3/4) times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr, what was the average speed from Chandigarh to Shimla?a)39.2 km/hrb)63 km/hrc)42 km/hrd)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is (3/4) times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr, what was the average speed from Chandigarh to Shimla?a)39.2 km/hrb)63 km/hrc)42 km/hrd)None of theseCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is (3/4) times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr, what was the average speed from Chandigarh to Shimla?a)39.2 km/hrb)63 km/hrc)42 km/hrd)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is (3/4) times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr, what was the average speed from Chandigarh to Shimla?a)39.2 km/hrb)63 km/hrc)42 km/hrd)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is (3/4) times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr, what was the average speed from Chandigarh to Shimla?a)39.2 km/hrb)63 km/hrc)42 km/hrd)None of theseCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is (3/4) times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr, what was the average speed from Chandigarh to Shimla?a)39.2 km/hrb)63 km/hrc)42 km/hrd)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is (3/4) times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr, what was the average speed from Chandigarh to Shimla?a)39.2 km/hrb)63 km/hrc)42 km/hrd)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is (3/4) times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr, what was the average speed from Chandigarh to Shimla?a)39.2 km/hrb)63 km/hrc)42 km/hrd)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Railways.
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Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is (3/4) times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr, what was the average speed from Chandigarh to Shimla?a)39.2 km/hrb)63 km/hrc)42 km/hrd)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is (3/4) times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr, what was the average speed from Chandigarh to Shimla?a)39.2 km/hrb)63 km/hrc)42 km/hrd)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Shyam went from Delhi to Shimla via Chandigarh by car. The distance from Delhi to Chandigarh is (3/4) times the distance from Chandigarh to Shimla. The average speed from Delhi to Chandigarh was half as much as that from Chandigarh to Shimla. If the average speed for the entire journey was 49 km/hr, what was the average speed from Chandigarh to Shimla?a)39.2 km/hrb)63 km/hrc)42 km/hrd)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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