Question

please solve for brainliest!

Answer 1

Answer:

$7.5$ mph

Step-by-step explanation:

We can make x the speed of the current and y the speed of the boat in still water

We can make an equation like this

x+y=1.5(y-x)

I made this equation like this because a boat speed added with current will equal the 1.5 times greater distance travaled against the current rather then still water so solve for y since that is what we are trying to find

$x+y=1.5y-1.5x$

Subtract 1x on both sides

$y=1.5y-2.5x$

Subtract 1.5y on both sides

$-0.5y=-2.5x$

Divde both sides by -0.5

$y=5x$

Now we fill in x since we know the speed of the current is 1.5 mph

$y=5(1.5)\\y=7.5$

I hope this helps please let me know if you have further questions

(Tip: The boat goes faster without the current since it is traveling against it)