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Direction: Answer the question on the basis of the information given below.
Hitesh participates in a triathlon consisting of three phases in the given order : Cycling 24 km, Running 12 km and Swimming 5 km. His speeds in each of the three phases are in the ratio 6 : 2 : 1 respectively. He completes the race in 't' minutes. Later he changes his strategy in such a way that the distances covered in each phase remains the same as before but his speeds are now in the ratio 8 : 3 : 1 respectively. After changing his strategy he completes the race in 't+20' minutes. It is also known that in both his strategies the running speed remains the same.
Q. If Hitesh's Swimming speed in his initial strategy had been 1 km/hr more, then how much time would he take to cover the same distance?
  • a)
    32 minutes
  • b)
    18 minutes
  • c)
    30 minutes
  • d)
    40 minutes
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Direction: Answer the question on the basis of the information given ...
Answer:

Given information:
- Hitesh participates in a triathlon consisting of three phases: Cycling 24 km, Running 12 km, and Swimming 5 km.
- His speeds in each phase are in the ratio 6:2:1.
- He completes the race in 't' minutes.
- Later, he changes his strategy such that the distances covered in each phase remain the same, but his speeds are now in the ratio 8:3:1.
- After changing his strategy, he completes the race in 't 20' minutes.
- The running speed remains the same in both strategies.

Calculating the time taken in the initial strategy:
- Let the speeds in the initial strategy be 6x, 2x, and x for cycling, running, and swimming respectively.
- Distance = Speed * Time
- Time taken for cycling = Distance / Speed = 24 / 6x = 4 / x minutes
- Time taken for running = Distance / Speed = 12 / 2x = 6 / x minutes
- Time taken for swimming = Distance / Speed = 5 / x minutes
- Total time taken in the initial strategy = 4 / x + 6 / x + 5 / x = 15 / x minutes

Calculating the time taken after changing the strategy:
- Let the speeds in the new strategy be 8y, 3y, and y for cycling, running, and swimming respectively.
- Distance = Speed * Time
- Time taken for cycling = Distance / Speed = 24 / 8y = 3 / y minutes
- Time taken for running remains the same.
- Time taken for swimming = Distance / Speed = 5 / y minutes
- Total time taken after changing the strategy = 3 / y + 6 / x + 5 / y = 9 / y + 5 / x minutes

Given that the total time taken after changing the strategy is 't 20' minutes:
- t 20 = 9 / y + 5 / x minutes

If Hitesh's swimming speed in his initial strategy had been 1 km/hr more:
- The speed of swimming in the initial strategy is x km/hr.
- The speed of swimming with an increase of 1 km/hr = (x + 1) km/hr.
- Time taken for swimming with an increased speed = Distance / Speed = 5 / (x + 1) minutes

Calculating the time taken with an increased swimming speed:
- Total time taken = 4 / x + 6 / x + 5 / (x + 1) minutes
- Simplifying the expression, we get:
- Total time taken = (4x + 6x + 5) / (x(x + 1)) minutes
- Total time taken = (10x + 5) / (x^2 + x) minutes

Given that the total time taken with an increased swimming speed is 't' minutes:
- t = (10x + 5) / (x^2 + x) minutes

Comparing the two equations:
- t 20 = 9 / y + 5 / x minutes
- t = (10x + 5)
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Community Answer
Direction: Answer the question on the basis of the information given ...
Let Hitesh's initial speeds in cycling, running and swimming be 6x, 2x and x respectively.
Also after changing his strategy let Hitesh's speeds in cycling, running and swimming be 8y, 3y and y respectively.
From (i),
From (ii),
Replacing the value of y in (ii) from (iii) we get,
Solving the equations we get, x = 9, y = 6 and t = 100
Required time = 5/(9 + 1) x 60 = 30 minutes
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Direction: Answer the question on the basis of the information given below.Hitesh participates in a triathlon consisting of three phases in the given order : Cycling 24 km, Running 12 km and Swimming 5 km. His speeds in each of the three phases are in the ratio 6 : 2 : 1 respectively. He completes the race in 't' minutes. Later he changes his strategy in such a way that the distances covered in each phase remains the same as before but his speeds are now in the ratio 8 : 3 : 1 respectively. After changing his strategy he completes the race in 't+20' minutes. It is also known that in both his strategies the running speed remains the same.Q. If Hitesh's Swimming speed in his initial strategy had been 1 km/hr more, then how much time would he take to cover the same distance?a)32 minutesb)18 minutesc)30 minutesd)40 minutesCorrect answer is option 'C'. Can you explain this answer?
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Direction: Answer the question on the basis of the information given below.Hitesh participates in a triathlon consisting of three phases in the given order : Cycling 24 km, Running 12 km and Swimming 5 km. His speeds in each of the three phases are in the ratio 6 : 2 : 1 respectively. He completes the race in 't' minutes. Later he changes his strategy in such a way that the distances covered in each phase remains the same as before but his speeds are now in the ratio 8 : 3 : 1 respectively. After changing his strategy he completes the race in 't+20' minutes. It is also known that in both his strategies the running speed remains the same.Q. If Hitesh's Swimming speed in his initial strategy had been 1 km/hr more, then how much time would he take to cover the same distance?a)32 minutesb)18 minutesc)30 minutesd)40 minutesCorrect answer is option 'C'. Can you explain this answer? for CLAT 2024 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Direction: Answer the question on the basis of the information given below.Hitesh participates in a triathlon consisting of three phases in the given order : Cycling 24 km, Running 12 km and Swimming 5 km. His speeds in each of the three phases are in the ratio 6 : 2 : 1 respectively. He completes the race in 't' minutes. Later he changes his strategy in such a way that the distances covered in each phase remains the same as before but his speeds are now in the ratio 8 : 3 : 1 respectively. After changing his strategy he completes the race in 't+20' minutes. It is also known that in both his strategies the running speed remains the same.Q. If Hitesh's Swimming speed in his initial strategy had been 1 km/hr more, then how much time would he take to cover the same distance?a)32 minutesb)18 minutesc)30 minutesd)40 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CLAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Answer the question on the basis of the information given below.Hitesh participates in a triathlon consisting of three phases in the given order : Cycling 24 km, Running 12 km and Swimming 5 km. His speeds in each of the three phases are in the ratio 6 : 2 : 1 respectively. He completes the race in 't' minutes. Later he changes his strategy in such a way that the distances covered in each phase remains the same as before but his speeds are now in the ratio 8 : 3 : 1 respectively. After changing his strategy he completes the race in 't+20' minutes. It is also known that in both his strategies the running speed remains the same.Q. If Hitesh's Swimming speed in his initial strategy had been 1 km/hr more, then how much time would he take to cover the same distance?a)32 minutesb)18 minutesc)30 minutesd)40 minutesCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Direction: Answer the question on the basis of the information given below.Hitesh participates in a triathlon consisting of three phases in the given order : Cycling 24 km, Running 12 km and Swimming 5 km. His speeds in each of the three phases are in the ratio 6 : 2 : 1 respectively. He completes the race in 't' minutes. Later he changes his strategy in such a way that the distances covered in each phase remains the same as before but his speeds are now in the ratio 8 : 3 : 1 respectively. After changing his strategy he completes the race in 't+20' minutes. It is also known that in both his strategies the running speed remains the same.Q. If Hitesh's Swimming speed in his initial strategy had been 1 km/hr more, then how much time would he take to cover the same distance?a)32 minutesb)18 minutesc)30 minutesd)40 minutesCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CLAT. Download more important topics, notes, lectures and mock test series for CLAT Exam by signing up for free.
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