Answered

Find expert answers and community support for all your questions on IDNLearn.com. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.

Jan walks 2 miles at a constant rate of 3 miles per hour and then runs 1 mile at a constant rate of 8 miles per hour.

(a) What is Jan’s average speed for the entire trip?
(b) Is the average speed in part (a) equal to the average of Jan’s two speeds?

Sagot :

Lublanaidn

Answer:

(a).4.36 mph

(b) No

Step-by-step explanation:

We are given that

Jan covered distance,s1 =2 miles

Speed of Jan, a=3 mph

s2=1 mile

b=8mph

a.

We have to find the Jan' s average speed for the entire trip.

Average speed =[tex]\frac{2ab}{a+b}[/tex]

Using the formula

Average speed=[tex]\frac{2(3)(8)}{3+8}=4.36mph[/tex]

b.

Average speed with two speed

Average of Jan’s two speeds

[tex]=\frac{a+b}{2}[/tex]

=[tex]\frac{3+8}{2}=5.5 mph[/tex]

[tex]4.36\neq 5.5[/tex]

Hence, the average speed in part (a) is not equal to the average of Jan’s two speeds.

We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.