Answer:
17[tex]\frac{1}{3}[/tex]miles
40miles
Step-by-step explanation:
Given parameters;
Distance traveled by the car = 1[tex]\frac{1}{2}[/tex]miles = [tex]\frac{3}{2}[/tex]miles
Time taken = 2[tex]\frac{1}{4}[/tex]minutes = [tex]\frac{9}{4}[/tex]minutes
Unknown:
Distance covered in 26minutes and in 1hr = ?
Solution:
Speed is the rate of change of distance with time.
Speed = [tex]\frac{distance}{time taken}[/tex]
A. Insert the parameters and find the speed;
Speed = [tex]\frac{\frac{3}{2} }{\frac{9}{4} }[/tex] = [tex]\frac{3}{2}[/tex] x [tex]\frac{4}{9}[/tex] = [tex]\frac{2}{3}[/tex]miles/minutes
Distance covered in 26minutes;
Distance = speed x time
Distance = [tex]\frac{2}{3}[/tex] x 26 = [tex]\frac{52}{3}[/tex] miles = 17[tex]\frac{1}{3}[/tex]miles
B. Distance covered in 1hr or 60minutes;
Distance = [tex]\frac{2}{3}[/tex] x 60 = 40miles
