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Manish covered 220 km distance in 11 hours. The first part of his journey he covered by car, then he hired a rickshaw. For the last part of his journey, he walked at half the speed of the rickshaw. The speed of the car and the rickshaw were 30 kmph and 8 kmph respectively. Find the ratio of time taken by Manish in car, rickshaw and by foot.
- a)15:4:2
- b)1:1:1
- c)1/15:1/4:1/2
- d)Cannot be determined
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Manish covered 220 km distance in 11 hours. The first part of his jou...
Total distance covered by Manish = 220 kms
Total time taken by Manish = 11 hours
⇒ Average speed of Manish for the whole journey = 220/11 = 20 kmph
20 = Total distance/total time
Total distance = D1 + D2 + D3 = 220
Total time = t1 + t2 + t3= 11
where,
D1 = t1×v1
Similarly,
D2 = t2×v2
D3 = t3×v3
⇒ 20 = (D1 + D2 + D3)/(t1 + t2 + t3)
⇒ 20 = (30t1 + 8t2 + 4t3)/(t1 + t2 + t3)
⇒ 20t1 + 20t2 + 20t3 = 30t1 + 8t2 + 4t3
⇒ -10t1 + 12t2 + 16t3 = 0 and t1 + t2 + t3 = 11
As, there are 2 equations and 3 variables.
So, the ratio of t1, t2 and t3 cannot be determined.
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Manish covered 220 km distance in 11 hours. The first part of his jou...
Understanding the Journey
Manish traveled a total distance of 220 km in 11 hours, using three modes of transport: car, rickshaw, and walking.
Speeds of Each Mode
- Car Speed: 30 kmph
- Rickshaw Speed: 8 kmph
- Walking Speed: Half of Rickshaw Speed = 4 kmph
Time Calculation for Each Mode
To find the ratio of time taken in each mode, we need to express the distances covered by each.
Distance and Time Relations
1. Let the distance traveled by Car = x km
- Time taken by Car = x / 30 hours
2. Let the distance traveled by Rickshaw = y km
- Time taken by Rickshaw = y / 8 hours
3. Let the distance traveled by Foot = z km
- Time taken by Foot = z / 4 hours
The total distance equation is:
x + y + z = 220
The total time equation is:
(x / 30) + (y / 8) + (z / 4) = 11
Challenges in Determining the Ratio
We have two equations with three unknowns (x, y, z). This creates a situation where multiple combinations of distances can satisfy both equations.
Therefore, without knowing specific distances covered in each mode, we cannot determine a unique ratio of time taken.
Conclusion
Since we have insufficient information to fix the values of x, y, and z distinctly, the correct answer to the question is:
Cannot be determined (Option D)
Manish traveled a total distance of 220 km in 11 hours, using three modes of transport: car, rickshaw, and walking.
Speeds of Each Mode
- Car Speed: 30 kmph
- Rickshaw Speed: 8 kmph
- Walking Speed: Half of Rickshaw Speed = 4 kmph
Time Calculation for Each Mode
To find the ratio of time taken in each mode, we need to express the distances covered by each.
Distance and Time Relations
1. Let the distance traveled by Car = x km
- Time taken by Car = x / 30 hours
2. Let the distance traveled by Rickshaw = y km
- Time taken by Rickshaw = y / 8 hours
3. Let the distance traveled by Foot = z km
- Time taken by Foot = z / 4 hours
The total distance equation is:
x + y + z = 220
The total time equation is:
(x / 30) + (y / 8) + (z / 4) = 11
Challenges in Determining the Ratio
We have two equations with three unknowns (x, y, z). This creates a situation where multiple combinations of distances can satisfy both equations.
Therefore, without knowing specific distances covered in each mode, we cannot determine a unique ratio of time taken.
Conclusion
Since we have insufficient information to fix the values of x, y, and z distinctly, the correct answer to the question is:
Cannot be determined (Option D)
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Manish covered 220 km distance in 11 hours. The first part of his journey he covered by car, then he hired a rickshaw. For the last part of his journey, he walked at half the speed of the rickshaw. The speed of the car and the rickshaw were 30 kmph and 8 kmph respectively. Find the ratio of time taken by Manish in car, rickshaw and by foot.a)15:4:2b)1:1:1c)1/15:1/4:1/2d)Cannot be determinede)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Manish covered 220 km distance in 11 hours. The first part of his journey he covered by car, then he hired a rickshaw. For the last part of his journey, he walked at half the speed of the rickshaw. The speed of the car and the rickshaw were 30 kmph and 8 kmph respectively. Find the ratio of time taken by Manish in car, rickshaw and by foot.a)15:4:2b)1:1:1c)1/15:1/4:1/2d)Cannot be determinede)None of theseCorrect answer is option 'D'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Manish covered 220 km distance in 11 hours. The first part of his journey he covered by car, then he hired a rickshaw. For the last part of his journey, he walked at half the speed of the rickshaw. The speed of the car and the rickshaw were 30 kmph and 8 kmph respectively. Find the ratio of time taken by Manish in car, rickshaw and by foot.a)15:4:2b)1:1:1c)1/15:1/4:1/2d)Cannot be determinede)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Manish covered 220 km distance in 11 hours. The first part of his journey he covered by car, then he hired a rickshaw. For the last part of his journey, he walked at half the speed of the rickshaw. The speed of the car and the rickshaw were 30 kmph and 8 kmph respectively. Find the ratio of time taken by Manish in car, rickshaw and by foot.a)15:4:2b)1:1:1c)1/15:1/4:1/2d)Cannot be determinede)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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