Question

Ski Lift A takes skiers 1,200 feet up the mountain in 2 minutes, Ski Lift B takes skiers 1,500 feet up the mountain in 3 minutes, and Ski Lift C takes skiers 1,800 feet up the mountain in 2 1/2 minutes. Which ski lift has the fastest rate?

Answer 1

Ski Lift C is the fastest one as it has a rate of
`12ft/s`, the highest above the three

Explanation:

Ski Lift A Rate

`SL_(A)=(1200feet)/(2min)`, or in seconds
`SL_(A)=(1200feet)/(120s)=10ft/s`

Ski Lift B Rate

`SL_(B)=(1500feet)/(3min)`, or in seconds
`SL_(B)=(1500feet)/(180s)=8.33ft/s`

Ski Lift C Rate

`SL_(C)=(1800feet)/(2(1)/(2) min)`, or in seconds
`SL_(C)=(1800feet)/(150s)=12ft/s`

As we can see the Ski Lift with the highest rate is the C.