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Mr. Racer started from Hyderabad to Bangalore with a speed of 60 kmph. After some time, he changed his speed to 80 kmph and reached Bangalore. He returned with the same speed and changed his speed to 60 kmph at the place where he had initially changed his speed in the onward journey, and came back to Hyderabad. What was his average speed for the entire journey? (The distance between Hyderabad and Bangalore is 600 km).
  • a)
    69 kmph
  • b)
    70 kmph
  • c)
    72 kmph
  • d)
    Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Mr. Racer started from Hyderabad to Bangalore with a speed of 60 kmph....
Let's calculate the average speed for the entire journey step by step:

Step 1: Outward Journey
- Mr. Racer started from Hyderabad to Bangalore with a speed of 60 kmph.
- The distance between Hyderabad and Bangalore is 600 km.
- To calculate the time taken for the outward journey, we use the formula: Time = Distance / Speed.
- So, the time taken for the outward journey = 600 km / 60 kmph = 10 hours.

Step 2: Return Journey
- Mr. Racer changed his speed to 80 kmph during the return journey.
- He returned with the same speed of 80 kmph.
- The distance between Bangalore and Hyderabad is also 600 km.
- To calculate the time taken for the return journey, we use the formula: Time = Distance / Speed.
- So, the time taken for the return journey = 600 km / 80 kmph = 7.5 hours.

Step 3: Total Time
- The total time for the entire journey is the sum of the time taken for the outward journey and the return journey.
- Total time = 10 hours + 7.5 hours = 17.5 hours.

Step 4: Average Speed
- Average Speed = Total Distance / Total Time.
- Total Distance = Distance between Hyderabad and Bangalore + Distance between Bangalore and Hyderabad = 600 km + 600 km = 1200 km.
- Average Speed = 1200 km / 17.5 hours ≈ 68.57 kmph.

Therefore, the average speed for the entire journey is approximately 68.57 kmph. Since this value is not among the given options, the answer is "Cannot be determined" (option D).
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Community Answer
Mr. Racer started from Hyderabad to Bangalore with a speed of 60 kmph....
Let us assume, he changed his speed at a distance of d km from Hyderabad.
So, total time taken for the journey (both forward and return) 
 +  + 
Since we don't know d, we can't find the total time and hence, we can't find the average speed.
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DIRECTIONSfor the question:Go through the following graph/information and answer the question that follows.As a part of the Best City contest, a news channel invited ten eminent personalities - Q, R, S, T, U, V, W, X, Y and Z - and asked each of them to vote for one of the four shortlisted cities - Bangalore, Delhi, Hyderabad and Mumbai - in each of the two categories-most beautiful city and most happening city. The sum of the number of votes obtained by a city in these two categories put together is considered to be the total number of votes for the city. The city with the maximum total number of votes is finally adjudged as the Best CityAfter the voting, it was found that:(i) no two cities got the same number of votes in the most beautiful city category and the same was the case in the most happening city category. However, every city got at least one vote in each of the two categories.(ii) No two cities got the same total number of votes and Hyderabad emerged as the winner of the contest.(iii) In case of S and T, in each of the two categories, S voted for the same city as T. However, the same cannot be said to be true for any other pair of persons.(iv) In the most beautiful city category, no other person voted for the city for which R voted and the same was the case in the most happening city category,(v) "Except V, who voted for Hyderabad in both the categories and Y, who voted for Bangalore in both the categories, no other person voted for the same city in both the categories,(vi) Q did not vote for Hyderabad in the most beautiful city category,(vii) U and W voted for the same city in the most happening city category.(viii) ln the most beautiful city category, only W and X Voted for Mumbai, while S voted for Bangalore.Q.Which city did Z vote for as the most beautiful city ?

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Mr. Racer started from Hyderabad to Bangalore with a speed of 60 kmph. After some time, he changed his speed to 80 kmph and reached Bangalore. He returned with the same speed and changed his speed to 60 kmph at the place where he had initially changed his speed in the onward journey, and came back to Hyderabad. What was his average speed for the entire journey? (The distance between Hyderabad and Bangalore is 600 km).a)69 kmphb)70 kmphc)72 kmphd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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Mr. Racer started from Hyderabad to Bangalore with a speed of 60 kmph. After some time, he changed his speed to 80 kmph and reached Bangalore. He returned with the same speed and changed his speed to 60 kmph at the place where he had initially changed his speed in the onward journey, and came back to Hyderabad. What was his average speed for the entire journey? (The distance between Hyderabad and Bangalore is 600 km).a)69 kmphb)70 kmphc)72 kmphd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Mr. Racer started from Hyderabad to Bangalore with a speed of 60 kmph. After some time, he changed his speed to 80 kmph and reached Bangalore. He returned with the same speed and changed his speed to 60 kmph at the place where he had initially changed his speed in the onward journey, and came back to Hyderabad. What was his average speed for the entire journey? (The distance between Hyderabad and Bangalore is 600 km).a)69 kmphb)70 kmphc)72 kmphd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mr. Racer started from Hyderabad to Bangalore with a speed of 60 kmph. After some time, he changed his speed to 80 kmph and reached Bangalore. He returned with the same speed and changed his speed to 60 kmph at the place where he had initially changed his speed in the onward journey, and came back to Hyderabad. What was his average speed for the entire journey? (The distance between Hyderabad and Bangalore is 600 km).a)69 kmphb)70 kmphc)72 kmphd)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?.
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