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Two buses start from a house at an interval of 5 minutes and move with a speed of 10 km/hr in the same direction. With how much speed (km/hr) should a woman coming from the opposite direction towards the house travel, to meet the buses at an interval of 3 minutes?
  • a)
    6.5
  • b)
    6
  • c)
    6(1/3)
  • d)
    6(2/3)
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two buses start from a house at an interval of5minutes and move with a...
Let speed of the woman is x km/hr.
Distance covered in 5 minutes at 10 km/hr = Distance covered in 3 minutes at (10+x) km/hr

⇒ 50 = 3 × (10+x)
⇒ 50 = 30 + 3x
⇒ 50−30 = 3x
⇒ 20 = 3x
⇒ 20/3 = x
∴x = 6(2/3)
So, the speed of woman is 6(2/3) km/hr.
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Two buses start from a house at an interval of5minutes and move with a speed of10km/hrin the same direction. With how much speed(km/hr)should a woman coming from the opposite direction towards the house travel, to meet the buses at an interval of3minutes?a)6.5b)6c)6(1/3)d)6(2/3)Correct answer is option 'D'. Can you explain this answer?
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