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A girl goes to her school from her house at a speed of 6km/hr and returns at a speed of 4 km/hr. If she takes 10 hours in going and coming back, the distance between her school and house is
  • a)
    12km
  • b)
    16 km
  • c)
    20 km
  • d)
    24 km
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A girl goes to her school from her house at a speed of 6km/hr and retu...
Let distance be D
10 = D/4 + D/6
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Most Upvoted Answer
A girl goes to her school from her house at a speed of 6km/hr and retu...
Given data:
Speed while going to school = 6 km/hr
Speed while returning from school = 4 km/hr
Total time taken = 10 hours
To find: Distance between school and house

Let the distance between school and house be 'd' km
Using the formula, time = distance/speed, we get
Time taken while going to school = d/6
Time taken while returning from school = d/4

According to the question, total time taken = 10 hours
Therefore,
d/6 + d/4 = 10
Multiplying both sides by 12 (LCM of 6 and 4), we get
2d + 3d = 120
5d = 120
d = 24 km

Hence, the distance between the school and the house is 24 km. Therefore, the correct answer is option D.
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Community Answer
A girl goes to her school from her house at a speed of 6km/hr and retu...
Let distance be D
10 = D/4 + D/6
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A girl goes to her school from her house at a speed of 6km/hr and returns at a speed of 4 km/hr. If she takes 10 hours in going and coming back, the distance between her school and house isa)12kmb)16 kmc)20 kmd)24 kme)None of theseCorrect answer is option 'D'. Can you explain this answer?
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