Answered

Find the best solutions to your problems with the help of IDNLearn.com's expert users. Find the solutions you need quickly and accurately with help from our knowledgeable community.


Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the distance in 1.5 h. Car B
traveled 15 mph faster than Car A.

How fast did Car B travel?

Sagot :

Naǫidn
[tex]d=v \cdot t[/tex]
d - distance
v - speed
t - time

Car A:
[tex]v_1 \\ t_1=2 \\ d_1=v \cdot 2=2 v[/tex]

Car B:
15 mph faster than car A
[tex]v_2=v_1+15 \\ t_2=1.5 \\ d_2= (v_1+15) \cdot 1.5=1.5v_1 + 22.5[/tex]

Both cars traveled equal distances:
[tex]d_1=d_2 \\ 2v_1 = 1.5v_1+22.5 \\ 2v_1-1.5v_1=22.5 \\ 0.5v_1=22.5 \\ v_1=45 \\ v_2=45 + 15 =60[/tex]

Car B traveled at the speed of 60 mph.
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.