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A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
- a)121 km
- b)242 km
- c)224 km
- d)112 km
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A man complete a journey in 10 hours. He travels first half of the jou...
Let time taken to travel the first half = x hr
Then time taken to travel the second half = (10 - x) hr
Distance covered in the the first half = 21x [because, distance = time*speed]
Distance covered in the the second half = 24(10 - x)
Distance covered in the the first half = Distance covered in the the second half
So,
21x = 24(10 - x)
=> 45x = 240
=> x = 16/3
Total Distance = 2*21(16/3) = 224 Km [multiplied by 2 as 21x was distance of half way]
Most Upvoted Answer
A man complete a journey in 10 hours. He travels first half of the jou...
By using formula of AVG speed 2*(X*y)/(x+y)Or (21*24*2)/21+24 is equal to AVG speed and multiply by 10 we get desired distance
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A man complete a journey in 10 hours. He travels first half of the jou...
Given, a man completes a journey in 10 hours.
Let the total journey be 'd' km.
He travels the first half of the journey at the rate of 21 km/hr and the second half at the rate of 24 km/hr.
To find: The total journey in km.
Formula used: Time = Distance/Speed
Calculation:
Let the distance of the first half of the journey be 'x' km.
Distance of the second half of the journey = d - x km
Time taken to travel the first half of the journey = x/21 hours
Time taken to travel the second half of the journey = (d-x)/24 hours
Total time taken = x/21 + (d-x)/24 = 10 hours (given)
On solving the above equation, we get
d = 224 km
Therefore, the total journey is 224 km. Hence, option C is the correct answer.
Let the total journey be 'd' km.
He travels the first half of the journey at the rate of 21 km/hr and the second half at the rate of 24 km/hr.
To find: The total journey in km.
Formula used: Time = Distance/Speed
Calculation:
Let the distance of the first half of the journey be 'x' km.
Distance of the second half of the journey = d - x km
Time taken to travel the first half of the journey = x/21 hours
Time taken to travel the second half of the journey = (d-x)/24 hours
Total time taken = x/21 + (d-x)/24 = 10 hours (given)
On solving the above equation, we get
d = 224 km
Therefore, the total journey is 224 km. Hence, option C is the correct answer.
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A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.a)121 km b)242 kmc)224 kmd)112 kmCorrect answer is option 'C'. Can you explain this answer?
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A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.a)121 km b)242 kmc)224 kmd)112 kmCorrect 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 A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.a)121 km b)242 kmc)224 kmd)112 kmCorrect 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 A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.a)121 km b)242 kmc)224 kmd)112 kmCorrect answer is option 'C'. Can you explain this answer?.
A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.a)121 km b)242 kmc)224 kmd)112 kmCorrect 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 A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.a)121 km b)242 kmc)224 kmd)112 kmCorrect 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 A man complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.a)121 km b)242 kmc)224 kmd)112 kmCorrect answer is option 'C'. Can you explain this answer?.
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