Asteamer going downstream traveled the distance between two ports in 3 hours. the return trip took 3 hours and 40 minutes. find the speed of the water current if the speed of the steamer in still water is 18 mph?

1.8 mph

Step-by-step explanation:

first, let's convert 3 hour 40 minutes into hours (to keep same units).

40 minutes is 40/60 = 2/3 hour

So 3 hr 40 minutes  = hours

Now, we know D = RT

where D is distance, R is rate, and T is time

Let rate of steamer be x (which is 18)

and rate of current be c

Rate Downstream = x + c (goes with current)

Rate Upstream = x - c (goes against current)

Both Distance (upstream & downstream) are same. Thus, we can write:

Now, we solve this algebraically for "c", speed of current:

Thus, speed of current = 1.8 mph

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2