abby133
contestada

A boat travels 160 miles in 5 hours. What is its speed in miles per minute to the nearest hundredth

Respuesta :

Hey there!

We have...

[tex]\frac{miles}{hours} =\frac{160}{5} =\frac{32}{1}[/tex]

We can see that the boat will travel 32 miles in an hour.

We want to see how many miles they travel in a minute.

We know there are 60 minutes in an hour, so we will divide our mileage by 60.

32/60≈0.53

Just to check, let's plug this into a proportion and cross multiply to see if it makes a true equation.

[tex]\frac{miles}{minutes} =\frac{160}{300} = \frac{0.53}{m}[/tex]

We cross multiply, and when we solve, m must be equal to about 1, for 1 minute.

160m=159

We divide both sides by 160.

m≈0.99

Therefore, the boat will travel about 0.53 miles in 1 minute.

I hope this helps!