Question
Download Solution PDFA boat can travel at a speed of 15.5 km/h in still water. If speed of the stream is 4.5 km/h, then how much time will it take to go 76 km downstream and 104.5 km upstream?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Speed of boat in still water = 15.5 km/h
Speed of stream = 4.5 km/h
Downstream distance = 76 km
Upstream distance = 104.5 km
Concept:
Time taken = Distance/Speed
Downstream speed = Speed of boat + Speed of stream
Upstream speed = Speed of boat - Speed of stream
Solution:
⇒ Downstream speed = 15.5 + 4.5 = 20 km/h
⇒ Upstream speed = 15.5 - 4.5 = 11 km/h
⇒ Time taken = (Downstream distance/Downstream speed) + (Upstream distance/Upstream speed) = (76 / 20) + (104.5 / 11) = 3.8 + 9.5 = 13.3 hours ≈ 13 hours 18 minutes
Therefore, it will take approximately 13 hours 18 minutes to complete the journey.
Last updated on Jul 8, 2025
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