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
ioda
3 years ago
8

Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu

nderstorm for the last 16 mi. She drives 18 mi slower through the thunderstorm than she does in clear weather. If the total time for the trip is 1.5 hr, determine her speed driving in nice weather and her speed driving in the thunderstorm.
Mathematics
1 answer:
cluponka [151]3 years ago
3 0

Answer:

<em>Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.</em>

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is  x mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: (x-18) mph

<u>We know that,</u>  Time = \frac{Distance}{Speed}

So, <u>the time of driving in clear weather</u> =\frac{50}{x} hours

and <u>the time of driving in thunderstorm</u> =\frac{16}{x-18} hours.

Given that, <u>the total time for the trip is 1.5 hours</u>. So, the equation will be......

\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0

Using zero-product property.........

x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12

<em>We need to ignore x=12 here, otherwise the speed in thunderstorm will become negative.</em>

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

You might be interested in
What is the value of x? O 13 O 14 O 26 O 28​
BartSMP [9]

It’s A. 13


hope this helps

7 0
2 years ago
What is 13 divided by 5/8
Norma-Jean [14]
20.8 hope this helps :D
5 0
3 years ago
Read 2 more answers
Use the data set to find the slope and y-intercept.
nika2105 [10]
Y-intercept =12
Slope : y2-Y1/x2-x1
8-10/2-1
Slope : -2
3 0
2 years ago
A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can
mars1129 [50]
Work seriously and you will be eable to answer
5 0
2 years ago
The absolute value of 5 is -5 because -5 is the opposite of five. What is the error?
aksik [14]

The absolute value is |5| = -5

6 0
3 years ago
Other questions:
  • Judging from appearance, does this figure have rotational symmetry. If so, what is the angle of rotation?
    6·1 answer
  • $290, 12.5%, 6 months
    9·1 answer
  • Y2+2y-24 factor completely
    11·1 answer
  • What is the answer for -2/5(n + 3) = 10?
    9·2 answers
  • Please solve will make as brainlist
    8·2 answers
  • HELPPP I AM BEING TIMED!!!!
    5·2 answers
  • 4.012+ S equals 5.313
    10·2 answers
  • A stack of 10 different cards are shuffled and spread out face down. If 3 cards are turned face up, how many different 3-card co
    10·1 answer
  • Find the area of the regular polygon. Round to the nearest tenth.
    13·1 answer
  • Need friends do u want a friend?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!