Question
Download Solution PDFA boat covers a distance of 12 km in 1 hour upstream and in 45 minutes downstream. Find the speed of the boat and the stream (in km/h).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total distance = 12 km
Time taken to cover the upstream distance = 1 hour
Time taken to cover the downstream distance = 45 minutes
Concept used:
Upstream speed = U - V
Downstream speed = U + V
Where, U = speed of boat in still water
and V = speed of stream
Calculation:
Upstream speed = 12/1 = 12km/h
Downstream speed = (12 × 60)/45 = 16 km/h
Speed of boat in still water (U) = (12 + 16)/2 = 28/2 = 14km/h
Speed of stream (V) = (16 - 12)/2 = 4/2 = 2 km/h
∴ The correct option is 3.
Last updated on Jul 14, 2025
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