Question
Download Solution PDFTwo boats A and B start moving towards each other from two places, 272 km apart. The speed of the boat A and B in still water are 32 km/h and 36 km/h, respectively. If A moves in downstream and B moves in upstream, then in how much time they will meet each other?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Distance between two boats A and B: 272 km
Speed of boat A in still water: 32 km/h
Speed of boat B in still water: 36 km/h
Concept:
Relative speed of two objects moving towards each other is the sum of their individual speeds.
Calculation:
Let the speed of the stream be a km/hr.
⇒ Speed of boat A in downstream = 32 + a.
⇒ Speed of boat B in downstream = 36 - a.
The boats are moving towards each other,
So their relative speed is 32 + 36 + a - a = 68 km/h.
⇒ Time = Distance/Speed
⇒ Time = 272 km/68 km/h = 4 hours.
Therefore, the two boats will meet each other after 4 hours.
Last updated on Jul 8, 2025
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