Traveling 4 hours with the current, a boat covers 2.4 times as long distance as it covers in 4 hours traveling against the current. What is the speed of the boat in still water if the speed of the current is 1.5 mph?
Answers
3.64 miles/hr is speed of the boat in still water
Step-by-step explanation:
Let say Speed of Boat in Still water = S mph
speed of the current is 1.5 mph
Speed against Current = S - 1.5 mph
Distance covered in 4 hrs = 4(S - 1.5) miles
Speed with Current = S + 1.5 mph
Distance covered in 4 hrs = 4(S + 1.5) miles
4(S + 1.5) = 2.4 (4(S - 1.5) )
=> S + 1.5 = 2.4(S - 1.5)
=> S + 1.5 = 2.4S - 3.6
=> 1.4S = 5.1
=> S = 51/14
=> S = 3.64 miles/hr
3.64 miles/hr is speed of the boat in still water
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