A boat traveled 126 miles downstream and back. The trip downstream took 6 hours. The trip back took 42 hours. What is the speed of the boat in still water? What is the speed of the current?

The answer is

Speed of the boat in still water= 12mph

Speed of current= 9mph

Step-by-step explanation:

let x= speed of the boat in still water

let y= speed of current

DATA WE HAVE

with current  

rate- x+y        

time- 6 hours

distance- 126 miles

rate= 126/6= 21

against current

rate- x-y

time- 42hr

distance- 126 miles

126/42= 3

Now, we add these two equations vertically.

x-y=3

+

x+y=21            

2x = 24

Now we divide each side by 2

2x/2   24/2

x= 12

The speed of the boat in still water is 12mph

NOW WE HAVE HALF OF THE ANSWER

if x+y= 21

then

12+y=21

subtract 12 from both sides

y=9

The speed of the current is 9mph

Checking)

12+9=?21

21=21

12-9=?3

3=3

I hope this helped! If you have any questions, dm me on insta celinesaydawi

here is the

mark brainliest pl

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.