Question

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

Answer 1

53/128 mph

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:

`(212mi)/(512hr) =(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

Unit rate = 0.414 mph

Explanation:

Distance travelled = 212 miles

Time taken = 512 hours

`Unit \: rate = (distance \: travelled)/(time \: taken) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (212)/(512) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.414 \: mph (miles \: per \: hour)`