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Tina goes to school from her house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If she takes 5 hours in total, then what is the distance between her house and school?
- a)6 km
- b)7 km
- c)5 km
- d)6.5 km
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Tina goes to school from her house at a speed of 3 km/hr and returns a...
Solution:
Given:
Tina's speed from house to school = 3 km/hr
Tina's speed from school to house = 2 km/hr
Total time taken = 5 hours
Let the distance between Tina's house and school be x km.
Calculating time:
Time taken to go from house to school = x/3 hours
Time taken to come back from school to house = x/2 hours
Total time taken = x/3 + x/2 = 5 hours
Solving the equation:
Multiplying through by 6 to clear the denominators:
2x + 3x = 30
5x = 30
x = 6 km
Therefore, the distance between Tina's house and school is 6 km.
Therefore, the correct answer is option A) 6 km.
Given:
Tina's speed from house to school = 3 km/hr
Tina's speed from school to house = 2 km/hr
Total time taken = 5 hours
Let the distance between Tina's house and school be x km.
Calculating time:
Time taken to go from house to school = x/3 hours
Time taken to come back from school to house = x/2 hours
Total time taken = x/3 + x/2 = 5 hours
Solving the equation:
Multiplying through by 6 to clear the denominators:
2x + 3x = 30
5x = 30
x = 6 km
Therefore, the distance between Tina's house and school is 6 km.
Therefore, the correct answer is option A) 6 km.
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Community Answer
Tina goes to school from her house at a speed of 3 km/hr and returns a...
Let the distance between Tina's house and school be 'x' km.
Therefore, time to cover the distance from her house to school = (Distance/ speed) = (x/3) hours.
Similarly, time to cover the distance from her school to house = (x/2) hours.
It is given that total time taken for whole journey= 5 hours.
Thus, (x/3 + x/2)= 5
⇒ ((2x+3x)/6)= 5
⇒ (5x/6) = 5
⇒ 5x=30 or x=6
Thus, distance between her house and school is 6 km
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Tina goes to school from her house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If she takes 5 hours in total, then what is the distance between her house and school?a)6 kmb)7 kmc)5 kmd)6.5 kmCorrect answer is option 'A'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Tina goes to school from her house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If she takes 5 hours in total, then what is the distance between her house and school?a)6 kmb)7 kmc)5 kmd)6.5 kmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tina goes to school from her house at a speed of 3 km/hr and returns at a speed of 2 km/hr. If she takes 5 hours in total, then what is the distance between her house and school?a)6 kmb)7 kmc)5 kmd)6.5 kmCorrect answer is option 'A'. Can you explain this answer?.
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