### Home > CC4 > Chapter 7 > Lesson 7.1.5 > Problem 7-64

Maya and her family took a boat tour to see crocodiles while vacationing in Australia. The boat goes 8 miles per hour in still water. The current of the river is 2 miles per hours. The trip downstream took 1 hours less than the return trip against the same current. Find the total distance Maya traveled. Homework Help ✎

Define your variables; *d* represents the distance traveled, *r* represents the rate, and *t* represents the time to travel upstream.

Also remember *d* = *rt*.

*d*=(8 − 2)*t* =6 *t* because *t* = time traveled upstream and her rate is equivalent to her speed minus the rivers.

*d* = (8+2)(*t* − 1)= 10 (*t* − 1) because time is one hour less, and rate is equivalent to her speed plus the rivers.

What is true about both distances?

So 6*t* = 10(*t* − 1), because the distance traveled is the same both ways.

Solve for *t* and substitute the value back into one of the original distance equations in steps 1 & 2.

30 total miles, because it is 15 miles one way (15 + 15 = 30).