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Two places were 81 km apart. Two boats start from both the places at same time towards each other. If one boat is going downstream then other one is going upstream. After how much time will they meet each other if their speeds are 12 km/hour and 15km/hour?
  • a)
    4 hours
  • b)
    2 hours
  • c)
    3 hours
  • d)
    2.5 hours
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two places were 81 km apart. Two boats start from both the places at s...
GIVEN:
Distance = 81 km
Speed of first boat = 12 km/hour
Speed of Second boat = 15 km/hour
FORMULA USED:
Downstream speed = Speed of boat + Speed of water
Upstream speed = Speed of boat – Speed of water
Relative speed = Speed of First boat + Speed of Second boat
Time = Distance/speed
CALCULATION:
Let the speed of water be ‘W’
Downstream speed = (12 + W)
Upstream speed = (15 – W)
Relative Speed = 12 + W + 15 – W = 27 km/hour
∴ Required time = 81/27 = 3 hours
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Two places were 81 km apart. Two boats start from both the places at same time towards each other. If one boat is going downstream then other one is going upstream. After how much time will they meet each other if their speeds are 12 km/hour and 15km/hour?a)4 hoursb)2 hoursc)3 hoursd)2.5 hoursCorrect answer is option 'C'. Can you explain this answer?
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