Question
Download Solution PDFA boat covers 64 km in downstream in 4 hours and 48 km in upstream in 6 hours. Find the distance covered by boat in 5 hours still water?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Downstream distance = 64 km
Time taken for downstream = 4 hours
Upstream distance = 48 km
Time taken for upstream = 6 hours
Formula used:
Speed = Distance ÷ Time
Speed downstream = (Speed of boat + Speed of current)
Speed upstream = (Speed of boat - Speed of current)
Calculations:
Speed downstream = 64 ÷ 4 = 16 km/hr
Speed upstream = 48 ÷ 6 = 8 km/hr
Let the speed of the boat in still water be 'b' km/hr and the speed of the current be 'c' km/hr.
Speed downstream = b + c = 16
Speed upstream = b - c = 8
Now, solving the equations:
b + c = 16
b - c = 8
Add the two equations:
(b + c) + (b - c) = 16 + 8
2b = 24
b = 12 km/hr
The speed of the boat in still water is 12 km/hr.
Now, the distance covered by the boat in 5 hours in still water is:
Distance = Speed × Time
Distance = 12 × 5 = 60 km
∴ The distance covered by the boat in 5 hours in still water is 60 km.
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