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A boy went to his school at a speed of 12 km/h and returned to his house at a speed of 8 km/h. If he has taken 50 minutes for the whole journey, what was the total distance walked?
- a)4 km
- b)8 km
- c)16 km
- d)20 km
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A boy went to his school at a speed of 12 km/h and returned to his hou...
Let the distant between his school and house be ‘x’
Total time taken = Time taken from school to house + Time taken from house to school
50/60 h = x/12 + x/8 [∵ Speed = Distance/time]
50/60 = (2x + 3x) /24
50/60 = 5x/24
∴ x = 4 kms
∴ Total distance walked = 2x = 8 kms
50/60 = (2x + 3x) /24
50/60 = 5x/24
∴ x = 4 kms
∴ Total distance walked = 2x = 8 kms
Most Upvoted Answer
A boy went to his school at a speed of 12 km/h and returned to his hou...
Let's first calculate the time it took for the boy to go to school and return home separately.
Going to school:
- Speed = 12 km/h
- Let the distance to school be 'd' km
- Time taken = distance/speed = d/12 hours
Returning home:
- Speed = 8 km/h
- Distance is the same as going to school, 'd' km.
- Time taken = distance/speed = d/8 hours
The total time taken for the whole journey is given as 50 minutes, which is equal to 50/60 = 5/6 hours.
So, we can write the equation:
d/12 + d/8 = 5/6
To solve this equation, we can find the common denominator of 12 and 8, which is 24:
2d/24 + 3d/24 = 5/6
Combining the terms with the same denominator, we get:
(2d + 3d)/24 = 5/6
Simplifying the equation further:
5d/24 = 5/6
Cross-multiplying:
6 * 5d = 5 * 24
30d = 120
Dividing both sides by 30:
d = 4
Therefore, the distance to school and back is 4 km each. The total distance walked is the sum of these two distances, which is 4 + 4 = 8 km.
Hence, the correct answer is option B) 8 km.
Going to school:
- Speed = 12 km/h
- Let the distance to school be 'd' km
- Time taken = distance/speed = d/12 hours
Returning home:
- Speed = 8 km/h
- Distance is the same as going to school, 'd' km.
- Time taken = distance/speed = d/8 hours
The total time taken for the whole journey is given as 50 minutes, which is equal to 50/60 = 5/6 hours.
So, we can write the equation:
d/12 + d/8 = 5/6
To solve this equation, we can find the common denominator of 12 and 8, which is 24:
2d/24 + 3d/24 = 5/6
Combining the terms with the same denominator, we get:
(2d + 3d)/24 = 5/6
Simplifying the equation further:
5d/24 = 5/6
Cross-multiplying:
6 * 5d = 5 * 24
30d = 120
Dividing both sides by 30:
d = 4
Therefore, the distance to school and back is 4 km each. The total distance walked is the sum of these two distances, which is 4 + 4 = 8 km.
Hence, the correct answer is option B) 8 km.
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A boy went to his school at a speed of 12 km/h and returned to his house at a speed of 8 km/h. If he has taken 50 minutes for the whole journey, what was the total distance walked?a)4 kmb)8 kmc)16 kmd)20 kmCorrect answer is option 'B'. Can you explain this answer?
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A boy went to his school at a speed of 12 km/h and returned to his house at a speed of 8 km/h. If he has taken 50 minutes for the whole journey, what was the total distance walked?a)4 kmb)8 kmc)16 kmd)20 kmCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A boy went to his school at a speed of 12 km/h and returned to his house at a speed of 8 km/h. If he has taken 50 minutes for the whole journey, what was the total distance walked?a)4 kmb)8 kmc)16 kmd)20 kmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy went to his school at a speed of 12 km/h and returned to his house at a speed of 8 km/h. If he has taken 50 minutes for the whole journey, what was the total distance walked?a)4 kmb)8 kmc)16 kmd)20 kmCorrect answer is option 'B'. Can you explain this answer?.
A boy went to his school at a speed of 12 km/h and returned to his house at a speed of 8 km/h. If he has taken 50 minutes for the whole journey, what was the total distance walked?a)4 kmb)8 kmc)16 kmd)20 kmCorrect answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A boy went to his school at a speed of 12 km/h and returned to his house at a speed of 8 km/h. If he has taken 50 minutes for the whole journey, what was the total distance walked?a)4 kmb)8 kmc)16 kmd)20 kmCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy went to his school at a speed of 12 km/h and returned to his house at a speed of 8 km/h. If he has taken 50 minutes for the whole journey, what was the total distance walked?a)4 kmb)8 kmc)16 kmd)20 kmCorrect answer is option 'B'. Can you explain this answer?.
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