Question

Chen bikes 212 miles in 512 hour. What is Chen’s unit rate in miles per hour

Answer 1

Answer:

53/128 mph

Step-by-step explanation:

Unit rate is essentially just asking for the number of miles Chen can bike in only 1 hour. That's what "unit" means - 1.

Here, we know that Chen can bike 212 miles in 512 hours, so let's set up a proportion:

$\frac{212mi}{512hr} =\frac{x}{1hr}$ , where x is the number of miles Chen can bike in 1 hour

Cross multiply:

512x = 212

Divide by 512:

x = 212 / 512 = 53/128 miles

So, Chen's unit rate is 53/128 mph.

Answer 2

Answer:

Unit rate = 0.414 mph

Step-by-step explanation:

Distance travelled = 212 miles

Time taken = 512 hours

$Unit \: rate = \frac{distance \: travelled}{time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{212}{512} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.414 \: mph (miles \: per \: hour)$