Question
Download Solution PDFA boat goes 150 km upstream in 30 hours and a distance of 217 km downstream in 31 hours. Find the speed of the boat in still water. (in kmph)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Upstream Distance = 150 km
Upstream Time = 30 hours
Downstream Distance = 217 km
Downstream Time = 31 hours
Formula used:
Speed of Boat in Still Water = (Downstream Speed + Upstream Speed) / 2
Downstream Speed = Distance / Time
Upstream Speed = Distance / Time
Calculation:
Upstream Speed = 150 / 30
⇒ Upstream Speed = 5 km/h
Downstream Speed = 217 / 31
⇒ Downstream Speed = 7 km/h
Speed of Boat in Still Water = (7 + 5) / 2
⇒ Speed of Boat in Still Water = 12 / 2
⇒ Speed of Boat in Still Water = 6 km/h
∴ The correct answer is option 2.
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