It takes 2 hours for Ian to travel 16 miles upstream in his boat, and it takes 3 hours to travel 36 miles downstream. Which system of linear equations can be used to find the speed of the boat (b) in still water and the rate of the current (c)?

The speed of the boat (b) in still water is 10 miles/hour and the rate of the current (c) is 8 miles/hour.

Step-by-step explanation:

Given,

In upstream it takes 2 hours to travel 16 km

In downstream it takes 3 hours to travel 36 km

To find the speed of the boat (b) in still water and the rate of the current (c)

Formula

Distance = Speed × Time

According to the problem,

b-c = ------ (1)

b+c = = 12 ------- (2)

Adding (1) and (2) we get,

b-c+b+c = 8+12

or, 2b = 20

or, b = 10

Subtracting (1) from (2) we get,

b+c-b+c = 12-8

or, 2c = 4

or, c = 2

Hence,

The speed of the boat (b) in still water is 10 miles/hour and the rate of the current (c) is 8 miles/hour.

answer:

it is general formula that is used to write value to its excet position

a11 a12 a13

a21 a22 a23

it is the example of order 2 by 3 matrix in this

a11 means value occur in 1 st row 1st column

a12 means value occurs in 1st row 2nd column

a13 means value occur in 1st row and 3rd column

a21 means value occurs in 2nd row and 1st column

a22 means value occurs in 2nd row and in 2nd column

a23 means value occurs in 2nd row and in 3rd column

c.)

step-by-step explanation: