With the current, you can canoe 72 miles in 4 hours. against the same current, you can canoe only 3/4 of this distance in 6 hours. find your rate in still water and the rate of the current.

The rate in still water is 13.5 miles per hour and the rate of the current is 4.5 miles per hour.

Step-by-step explanation:

The velocity  of an object is equal to the displacement  divided by the time:

Going with the current the velocity in miles per hour is:

Going against the current, 3/4 of 72 miles is 54 miles, then the velocity in miles per hour is:

The velocity of going with the current is the sum of the rate of being still() and the rate of the current(). And the velocity of going against is the difference between the two rates so:

Adding the equation to solve for :

Substituting in one equation to find :

The rate in still water is 13.5 miles per hour and the rate of the current is 4.5 miles per hour.

check the picture below.

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.