A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Driving along a crowded freeway, you notice that it takes a time t to go from one mile marker to the next. When you increase your speed by 5.0 mi/h, the time to go one mile decreases by 12 s. What was your original speed?
anonymous
 one year ago
Driving along a crowded freeway, you notice that it takes a time t to go from one mile marker to the next. When you increase your speed by 5.0 mi/h, the time to go one mile decreases by 12 s. What was your original speed?

This Question is Open

kropot72
 one year ago
Best ResponseYou've already chosen the best response.0The original speed is 1/t mi/h. The increased speed is 1/t + 5 mi/h. The time to go one mile at the increased speed is given by: \[\large \frac{1}{\frac{1}{t}+5}\ .......(1)\] We can equate the time in (1) with the decreased time to go one mile as follows: \[\large \frac{1}{\frac{1}{t}+5}=t\frac{12}{3600}\ .........(2)\] Manipulation of (2) produces the following quadratic equation: \[\large 1500t ^{2}5t1=0\ ...........(3)\] The real solution of (3) gives the original time to travel one mile as a decimal fraction of an hour. The reciprocal gives the original speed in mi/h.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.