1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
faltersainse [42]
2 years ago
12

Can someone please help me with number 2?I don't know what I did wrong.​

Mathematics
1 answer:
Dmitry [639]2 years ago
6 0

Part A

Let's say point P is the starting point and point Q is the endpoint

x = one-way distance from P to Q, and vice versa

The goal is to find x, then compute 2x to find the round trip distance traveled.

We'll use this idea

distance = rate*time

which solves to

time = distance/rate

So when going from P to Q, the driver is going 70 mph and travels x miles

So the driver does this for distance/time = x/70 hours.

When going back, the driver slows down to 55 mph so the time taken here is x/55 hours.

The total time values add to x/70 + x/55 hours

Set this equal to the total driving time of 7 hours and solve for x

x/70 + x/55 = 7

70*55*(x/70 + x/55) = 70*55*7

70*55*(x/70) + 70*55*(x/55) = 26,950

55x + 70x = 26,950

125x = 26,950

x = (26,950)/125

x = 215.6 which is the one-way distance in miles

which then means,

2x = 2*215.6 = 431.2

Therefore, the total distance traveled is 431.2 miles

<h3>Answer: 431.2 miles</h3>

=========================================================

Part B

To find the duration of each trip, we simply need to evaluate x/70 and x/55. Those are the durations when going 70 mph and 55 mph respectively. These durations are measured in hours.

x/70 = (215.6)/70 = 3.08

x/55 = (215.6)/55 = 3.92

Note how 3.08+3.92 = 7 to help verify the answers.

<h3>Answers:</h3>
  • When going 70 mph, it takes about 3.08 hours
  • When going 55 mph, it takes about 3.92 hours
You might be interested in
Can someone help me find the domain of this function please ?
ratelena [41]

Answer: It is A=-1<x<-6 is the domain

4 0
3 years ago
What is the average of 1.90 7.99 4.33 5.21?
nadezda [96]
Add All The Numbers (Which Gives You 19.43) Then Divide By Four Because There Are Four Numbers That Were Added Together. The Average Is 4.8575.
7 0
2 years ago
Read 2 more answers
Marcus hired a car service to drive him to the airport. The bill came to $56.80. He gave the driver a 20% tip. How much money di
aleksandr82 [10.1K]
He gave the driver a tip of $11.36

58.80*0.20 = 11.36
4 0
3 years ago
Read 2 more answers
Please help me solve this question
brilliants [131]
Bestie the answer: is C
5 0
2 years ago
PLS ANSWER ASAPThe function f(x) = 4x + 10 models the amount of money Francis makes
Andrei [34K]

Answer:

A 18

Step-by-step explanation:

f(x) = 4x + 10

f(2) = 4(2) + 10

f(2) = 8 + 10

f(2) = 18

6 0
3 years ago
Other questions:
  • How do I construct bisectors, angles, &amp; segments?
    13·1 answer
  • 4:3 = 60:45 true or false
    10·1 answer
  • HELP VERY QUICKLY!!!!!!
    10·2 answers
  • Is 4.565565556 rational
    11·1 answer
  • The volume of a cube is 460cm3.<br> Work out the length of its side rounded to 1 DP.
    12·1 answer
  • What is the simplified form of the following expression? sqrt 1/144
    10·1 answer
  • 3/5 divided by 1 1/4
    15·1 answer
  • Which of the following information about the graph of the relationship is given
    6·1 answer
  • D = √(-253-√3)² + (-5/2-23²
    9·1 answer
  • Please help me with #5
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!