Translate to a system of equations and solve
a motorboat traveled for 2 hours with an 8km/h current. the return trip against the same current took 3 hours. find the speed of the motorboat in still water.

40 km/h

Step-by-step explanation:

Let the speed of motorboat in still water = x km/h

Speed of current = 8 km/h

When moving with the current, the relative speed is = (x + 8) km/h

When moving against the current, the relative speed = (x - 8) km/h

Travelling against the current will take longer. So, it took 3 hours to travel against the current and 2 hours to travel in the direction of the current.

The distance traveled in each case remains the same.

Since, Distance = Speed x Time, we can write:

Distance traveled with current = Distance traveled against current

2(x + 8) = 3(x - 8)

2x + 16 = 3x - 24

16 + 24 = 3x - 2x

x = 40 km/h

Thus, the speed of motorboat in still water will be 40 km/h

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (