Asmall motorboat travels 12 mph in still water. it takes 7 hours longer to travel 48 miles going upstream than it does going downstream. find the rate of current. (hint: 12+x= rate downstream and 12-x= rate upstream.)

Current rate of boat is 6.96 mph.

Step-by-step explanation:

Given:

Distance traveled = 48 miles.

Time to travel = 7 hours

Speed of the boat in still water = 12 mph

We need to find the Current rate.

Let current rate be x;

Downstream rate =

Upstream rate =

Now we know that Time is given by dividing Distance with Speed.

Hence Distance traveled is upstream and downstream.

Framing the equation we get;

Now taking LCM we get;

Now we will find the roots using quadratic formula.

a = 7 b =96 c =-1008

Now Quadratic formula is given by;

Now we have 2 values of x = 6.96 and x = -20.67

Since Speed of the boat cant be negative.

Hence we can say Current rate of boat is 6.96 mph

560

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