Question

A barge moves 7km/hr in still water. It travels 45km upriver and 45km downriver in a total time of 14 hr. What is the speed of the current.

Answer 1

Explanation:

2(3x−5)+4x−10=4x+2(x+6)

Step 1: Simplify both sides of the equation.

2(3x−5)+4x−10=4x+2(x+6)

(2)(3x)+(2)(−5)+4x+−10=4x+(2)(x)+(2)(6)(Distribute)

6x+−10+4x+−10=4x+2x+12

(6x+4x)+(−10+−10)=(4x+2x)+(12)(Combine Like Terms)

10x+−20=6x+12

10x−20=6x+12

Step 2: Subtract 6x from both sides.

10x−20−6x=6x+12−6x

4x−20=12

Step 3: Add 20 to both sides.

4x−20+20=12+20

4x=32

Step 4: Divide both sides by 4.

4x/4 =32/4

x=8