Find solutions to your problems with the expert advice available on IDNLearn.com. Join our Q&A platform to get accurate and thorough answers to all your pressing questions.
Sagot :
Answer:
Maria drove for 3.5 hours.
Step-by-step explanation:
Given :
Carlos and Maria drove a total of 258 miles in 5 hours.
Carlos drove the first part of the trip and averaged 53 miles per hour.
Maria drove the remainder of the trip and averaged 51 miles per hour.
To Find : For approximately how many hours did Maria drive? Round your answer to the nearest tenth if necessary.
Solution:
Carlos and Maria drove a total of 258 miles in 5 hours.
Let t be the time for which Carlos drove
So, Maria drove for hours = 5 - t
Speed of Carlos = 53 miles / hr
Distance covered by Carlos = [tex]Speed \times time [/tex]
= [tex]53t[/tex]
Speed of Maria = 51 miles per hour.
Distance covered by Maria = [tex]51 \times (5-t) [/tex]
Total Distance = [tex]53t+51 \times (5-t) [/tex]
Since we are given that Carlos and Maria drove a total of 258 miles
So, [tex]53t+51 \times (5-t)=258[/tex]
[tex]53t+255-51t=258[/tex]
[tex]2t+255=258[/tex]
[tex]2t=258-255[/tex]
[tex]2t=3[/tex]
[tex]t=\frac{3}{2}=1.5[/tex]
Carlos drove for 1.5 hours
Maria drove for hours = 5 - t = 5-1.5 =3.5 hours
Hence Maria drove for 3.5 hours.
We appreciate 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 is dedicated to providing accurate answers. Thank you for visiting, and see you next time for more solutions.