While Brendan is vacationing with his family at the cabin, they take a motorboat on the river. The motorboat travels

18 miles per hour in still water.

1. Let w represent the speed of the river current in miles per hour. Write an expression for how fast the

motorboat is able to go downstream (with the current) Write another expression for how fast the motorboat is

able to go upstream (against the current).

2. The motorboat travels 49 miles upstream in the same time it takes to travel 77 miles downstream. What is the

speed of the current w? Use the Elimination Method to solve.

Part 1: The speed of the boat traveling downstream is miles per hr.

The speed of the boat traveling upstream is miles per hr.

Part 2: The speed of the current is 4 miles per hour.

Explanation:

Part (1): The motorboat travels 18 miles per hour in still.

Let w represents the speed of the current.

When the boat travels downstream, the speed of the current will get added to the speed of the boat.

Thus, the expression can be written as miles per hr

Hence, the speed of the boat traveling downstream is miles per hr.

When the boat travels upstream, the speed of the current will get subtracted to the speed of the boat.

Thus, the expression can be written as miles per hr.

Hence, the speed of the boat traveling upstream is miles per hr.

Part (2): The boat travels 49 miles upstream in the same time it takes to travel 77 miles downstream.

The distance formula is given by

Substituting, we have,

 ---------------(1)

 ---------------(2)

Solving using elimination method,

Dividing both sides by 36, we have,

Substituting in , we get,

Thus, the speed of the current is miles per hour.

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following