Question

Barry and Robin walk to Dunkin' Donuts each Saturday to meet for coffee and donuts. Barry walks the 2 miles from his house in 30 minutes and Robin walks the 3miles from his house in 36 minutes.a. Find the unit rate in minutes per mile for Barry.b. Find the unit rate in minutes per mile for Robin.c. Who walks faster, Barry of Robin?Each answer must be explained in detail using the correct vocabulary to receive full credit.

Answer 1

Explanations:

The formula for calculating the speed of both Barry and Robin is given as:

`\text{Speed}=\frac{Distance(miles)}{\text{Time(hr)}}`

For Barry:

Distance covered = 2 miles

Time taken = 30 minutes = 0.5 hr

The unit rate in minutes per mile is given as:

`\begin{gathered} \text{Unit rat}e=\frac{Time}{Dis\tan ce\text{ covered}} \\ \text{Unit rate=}(30\min )/(2miles) \\ \text{Unit rate=15min/mile} \end{gathered}`

Hence the unit rate in minutes per mile for Barry is 15min/mile

For Robin:

Distance covered = 3 miles

Time taken = 36 minutes

The unit rate in minutes per mile

`\begin{gathered} \text{Unit rate=}(36\min utes)/(3miles) \\ \text{Unit rate=12min/mile} \end{gathered}`

Hence the unit rate in minutes per mile for Robin is 12min/mile

Since Robin covered 1 mile in 12minutes (less time than Barry), hence Robin walks faster