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Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h. He took 10 hours for the entire journey. What part of the journey did he travel by auto if the average speed of the entire journey be 17 km/h:
- a)750 km
- b)100 km
- c)150 km
- d)200 km
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Pankaj walked at 5 km/h for certain part of the journey and then he to...
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Pankaj walked at 5 km/h for certain part of the journey and then he to...
Solution:
Let us assume that Pankaj traveled x km by walking and (d - x) km by auto. Here, d is the total distance of the journey.
Given, the speed of Pankaj while walking = 5 km/h
And, the speed of Pankaj while traveling by auto = 25 km/h
Also, the average speed of the entire journey = 17 km/h
Now, we know that
Total time taken for the journey = Time taken by Pankaj while walking + Time taken by Pankaj while traveling by auto
⇒ 10 = x/5 + (d - x)/25
⇒ 50x + 5d - 5x = 125x
⇒ 120x = 5d
⇒ x = d/24
We need to find the value of (d - x), which is the distance traveled by Pankaj while traveling by auto.
(d - x) = d - d/24
= 23d/24
Now, we know that the average speed of the entire journey = Total distance traveled / Total time taken
⇒ 17 = d/10
⇒ d = 170 km
Therefore, (d - x) = 23d/24 = 23 × 170/24 = 150 km
Hence, Pankaj traveled 150 km by auto.
Therefore, the correct option is (c) 150 km.
Let us assume that Pankaj traveled x km by walking and (d - x) km by auto. Here, d is the total distance of the journey.
Given, the speed of Pankaj while walking = 5 km/h
And, the speed of Pankaj while traveling by auto = 25 km/h
Also, the average speed of the entire journey = 17 km/h
Now, we know that
Total time taken for the journey = Time taken by Pankaj while walking + Time taken by Pankaj while traveling by auto
⇒ 10 = x/5 + (d - x)/25
⇒ 50x + 5d - 5x = 125x
⇒ 120x = 5d
⇒ x = d/24
We need to find the value of (d - x), which is the distance traveled by Pankaj while traveling by auto.
(d - x) = d - d/24
= 23d/24
Now, we know that the average speed of the entire journey = Total distance traveled / Total time taken
⇒ 17 = d/10
⇒ d = 170 km
Therefore, (d - x) = 23d/24 = 23 × 170/24 = 150 km
Hence, Pankaj traveled 150 km by auto.
Therefore, the correct option is (c) 150 km.
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Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h. He took 10 hours for the entire journey. What part of the journey did he travel by auto if the average speed of the entire journey be 17 km/h:a)750 kmb)100 kmc)150 kmd)200 kme)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h. He took 10 hours for the entire journey. What part of the journey did he travel by auto if the average speed of the entire journey be 17 km/h:a)750 kmb)100 kmc)150 kmd)200 kme)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h. He took 10 hours for the entire journey. What part of the journey did he travel by auto if the average speed of the entire journey be 17 km/h:a)750 kmb)100 kmc)150 kmd)200 kme)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h. He took 10 hours for the entire journey. What part of the journey did he travel by auto if the average speed of the entire journey be 17 km/h:a)750 kmb)100 kmc)150 kmd)200 kme)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h. He took 10 hours for the entire journey. What part of the journey did he travel by auto if the average speed of the entire journey be 17 km/h:a)750 kmb)100 kmc)150 kmd)200 kme)None of theseCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h. He took 10 hours for the entire journey. What part of the journey did he travel by auto if the average speed of the entire journey be 17 km/h:a)750 kmb)100 kmc)150 kmd)200 kme)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Pankaj walked at 5 km/h for certain part of the journey and then he took an auto for the remaining part of the journey travelling at 25 km/h. He took 10 hours for the entire journey. What part of the journey did he travel by auto if the average speed of the entire journey be 17 km/h:a)750 kmb)100 kmc)150 kmd)200 kme)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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