Question

Andrew jogs at an average speed of 5.5 miles per hour. He is planning a jog for Saturday morning. How far can Andrew go on his jog? Write an equation for the problem and use the equation to answer the question.

Answer 1

Let

x-------> the time in hours

y------> the distance in miles

we know that

speed=distance/time-------> speed=y/x-------> equation 1

speed=5.5 miles/hour------> equation 2

equate equation 1 and equation 2

y/x=5.5--------> y=5.5*x---------> this is the equation for the problem

  the distance that Andrew jogs will depend on the time spent

examples

a) if he runs for 2 hours,

then  

x=2 hours

y=5.5*2-------> y=11 miles          

b) if he runs for 3 hours,

then  

x=3 hours

y=5.5*3-------> y=16.5 miles        

c) if he runs for 30 minutes

then  

30 minutes=0.5 hours

x=0.5 hours

y=5.5*0.5-------> y=2.75 miles