Question

The distance from Boston MA to Montpelier VT is 150 mi was covered by a motorcyclist traveling at an average speed of 75 mph, by a bus traveling at 60 mph, a truck traveling at 50 mph, and a bicyclist traveling at 20 mph. How much time did each take to travel the entire distance? Explain why speed and the time needed to travel 150 mi are inversely proportional quantities.

Answer 1

Answer:

speed and the time needed to travel 150 mi are inversely proportional quantities

Step-by-step explanation:

The distance from Boston MA to Montpelier VT is 150 mi

Distance = Speed * Time

=> Time = Distance / Speed

a motorcyclist traveling at an average speed of 75 mph

=> time taken by motorcyclist   = 150/75  = 2 hr

a Bus traveling at an average speed of 60 mph

=> time taken by Bus   = 150/60  = 2.5 hr

a truck traveling at an average speed of 50 mph

=> time taken by truck   = 150/50  = 3 hr

a bicyclist traveling at an average speed of 20 mph

=> time taken by bicyclist   = 150/20  = 7.5 hr

Time = Distance / Speed

Distance is fixed

=> Time ∝  1/Speed

Hence speed and the time needed to travel 150 mi are inversely proportional quantities