The speed of motorboat is 36 kmph and speed of current is 4 kmph.
Step-by-step explanation:
Distance covered in 4 hours = 160 km
Time took on return trip = 5 hours
Let,
x represent the speed of boat.
y represent the speed of current.
Combined speed of boat and current when in same direction = x+y
Speed of boat and current when travelling against = x-y
Distance = Speed * Time
Speed =
x+y =
x+y = 40 Eqn 1
x-y =
x-y = 32 Eqn 2
Adding Eqn 1 and Eqn 2
Dividing both sides by 2
Putting x=36 in Eqn 1
The speed of motorboat is 36 kmph and speed of current is 4 kmph.
Keywords: linear equation, addition
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