Question

1. A motorboat travels 196 meters in 20 seconds. What is the motorboat's unit rate of speed?

Step1. Write equivalent ratios.
The boat's rate of speed is 196m/20 secs.
Let X represent the unknown. The second ratio is: xM/1 sec.


Step2. set up and solve a proportion.

19/20 = X/1

196 . ------------= 20 .-------
--------=---------
X = -------

The unit rate ------ meters per second.

Answer 1

Let x represents the unknown speed

So

Proportion is

• 196m/20s=xm/s
• x=196/20
• x=98/10
• x=9.8m/s

Answer 2

It should be noted:

• Given sentence: A motorboat travels 196 meters in 20 seconds.

Let's reread the sentence carefully.

A motorboat travels 196 meters in 20 seconds.

↥ ↥ ↥

196 meters = 20 seconds.

Equation formed:
`196 \space\ meters = 20 \space\ seconds`

To find the unit rate (meters/second), divide both sides by 20.

Divide both sides by 20.

• 
  `(196)/(20) \space\ meters = (20)/(20) \space\ seconds`
• =>
  `9.8 \space\ meters = 1 \space\ second`

Thus, the unit rate is 9.8 meters per second.