Question
Download Solution PDFX, Y are two points in a river. Points P and Q divide the straight line XY into three equal parts. The river flows along XY and the time taken by a boat to row from X to Q and from Y to Q are in the ratio 4 : 5. The ratio of the speed of the boat downstream to that of the river current is equal to:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
XP = PQ = QY
Ratio of time taken by boat to go from X to Q and Y to Q = 4 : 5
Formulas used:
Speed of the boat going downstream = (Speed of the boat + Speed of the current)
Speed of the boat going upstream = (Speed of the boat - Speed of the current)
Time = Distance/Speed
Calculation:
Let XP = PQ = QY = d
Let the speed of the boat = a km/h
Let the speed of the current = b km/h
As per the question:
2d/(a + b) ÷ d/(a - b) = 4/5
⇒ 2(a - b)/(a + b) = 4/5
⇒ 14b = 6a
⇒ a/b = 7/3
Speed of the boat downstream = (7 + 3) = 10
Speed of the current = 3
∴ The required ratio = 10 : 3
Last updated on Jul 14, 2025
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