Answer and explanation:
The formula for finding the distance traveled, based on speed and time, is
Where, D is distance , R is rate (speed) and T is time
Units must be consistent.
1) Given : If the unit for D is miles and the unit for T is minutes.
To find : What must the units for R be?
Solution :
Now we put unit,
The unit of R is miles per minute.
2) Given : If a bicyclist rides for 160 minutes at an average speed of 17 miles per hour.
To find : How far was the ride ?
Solution :
Speed R=17 miles per hour
Time T=160 minutes
Convert into hours,
Substitute value in the formula,
The distance is 45.4 miles.
3) Given : A bicyclist ride to cover 12 miles in 1.5 hours.
To find : At what speed must a bicyclist ride ?
Solution :
Distance D=12 miles
Time T=1.5 hour
Substitute value in the formula,
The speed is 8 miles per hour.