Question
Download Solution PDFA motorboat goes 24 km in 2 hours along the stream and 10 km in 1 hour against the stream. The speed of the motorboat in kilometers per hour is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Distance along the stream (d1) = 24 km
Time along the stream (t1) = 2 hours
Distance against the stream (d2) = 10 km
Time against the stream (t2) = 1 hour
Formula used:
Speed along the stream (S1) = d1 ÷ t1
Speed against the stream (S2) = d2 ÷ t2
Speed of the motorboat in still water = (S1 + S2) ÷ 2
Calculation:
S1 = 24 / 2 = 12 km/h
S2 = 10 / 1 = 10 km/h
Speed of the motorboat = (12 + 10) / 2
⇒ Speed of the motorboat = 22 / 2 = 11 km/h
∴ The correct answer is option (3).
Last updated on May 26, 2025
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