Question

3. Answer the following questions about unit conversions. Be sure to show your work.(a) If you're trying to get somewhere quickly, would you rather be driving at 50 miles perhour or 1250 meters per minute? Note that 1 mile is approximately 1.61 kilometers andthere are one thousand meters in a kilometer, and that there are 60 minutes in an hour.

Answer 1

We need first to change the speed of miles per hour to meter per min, then compare both speeds

Since 1 mile = 1.61 km

Since 1 km = 1000 m, then

1 mile = 1 x 1.61 x 1000

1 mile = 1610 meters

Since 1 hour = 60 min, then

50 miles per hour = 50 miles / 1 hour

Multiply 50 by 1610

Multiply 1 h by 60

`(50miles)/(hour)=(50*1610)/(1*60)`

Simplify it

`(50miles)/(hour)=(80500)/(60)=1341(2)/(3)meters\text{ per min}`

Since the other speed is 1250 meters per min

Since 1341 2/3 > 1250

Then you have to drive at 50 miles per hour