IDNLearn.com is the perfect place to get detailed and accurate answers to your questions. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.
Sagot :
The average speed Alan must travel at for the rest of the journey is 96 km/h.
The given parameters;
- time taken by Alan complete one quarter of the journey = 4 h 15 min = 4.25 h
- average speed of Alan = 64 km/h
- total time of the motion, T = 12 h 45 min = 12.75 h
The first distance traveled by Alan is calculated as;
[tex]d_1 = 64 \ km/h \times 4.25 \ h\\\\d_1 = 272 \ km[/tex]
The total distance traveled by Alan is calculated as;
[tex]\frac{1}{4} \times \ total \ distance = 272 \ km\\\\ total \ distance = 4 \times 272 \ km\\\\ total \ distance = 1,088 \ km[/tex]
The distance traveled by Alan in the second journey is calculated as;
[tex]d_2 = \frac{3}{4} \times 1,088 \ km = 816 \ km[/tex]
The time of motion for the second journey is calculated as;
[tex]t_2 = T- t_1\\\\t_2 = 12.75 \ hr - 4.25 \ hr\\\\t_2 = 8.5 \ hr[/tex]
The average speed of Alan in the second journey is calculated as;
[tex]V = \frac{distance}{time} \\\\V = \frac{816 \ km}{8.5 \ h} = 96 \ km/h[/tex]
Thus, the average speed Alan must travel at for the rest of the journey is 96 km/h.
Learn more here: https://brainly.com/question/17289046
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.