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
Naya [18.7K]
4 years ago
5

A driver intends to complete 2 laps on a track that is exactly 1 mile around at an average speed of 60 mph. He gets off to a slo

w start and completes the 1st lap at an average of 30 mph. How fast must he drive the second lap in order to achieve his goal?
Mathematics
1 answer:
andrey2020 [161]4 years ago
4 0

Answer:

Goal is not achievable

Step-by-step explanation:

There are Two laps and the total distance here is 2miles. Now, it is said that he hopes to travel at a speed of 60mph, thus the total time that it would take him to complete the 2 miles distance race is 2/60 = 1/30 hours. Thus if he travels at a constant speed of 60mph he would finish the race at 1/30hours.

This means he will take a time of 1/60 hours per lap.

Now, he travels 30mph to complete 1 mile, the time taken for this is 1/30h

We now need to know the speed he travels on the second lap.

Average speed = Total distance/Total time

60mph = 2/( 1/30 + T2)

60 = 2/( (1 + 30T2)/30)

60 = 2 divided by (1 + 30T2)/30

60 = 2 * (30)/1 + 30T2

60( 1 + 30T2) = 60

1 + 30T2 = 1

30T2 = 0

T2 = 0

This means that he cannot achieve his goal again as he had taken the time meant for the whole race in a single lap.

You might be interested in
Lily bought 25.29 pounds of grapefruit. The lightest grapefruit weighed 1.4 pounds. The heaviest grapefruit weighed 1.6 pounds.
Gemiola [76]

Answer:

B

Step-by-step explanation:

GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.

This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.

recall that : average weight = total weight / number of fruit

we are given than total weight = 25.29 lb, so

average weight = 25.29 / number of fruit

Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.

Choice A: number of fruit = 19

average = 25.29 / 19 = 1.33  (outside of range, not the answer)

Choice B: number of fruit = 17

average = 25.29 / 17 =1.49   (within range , possible answer)

Choice C: number of fruit = 10

average = 25.29 / 10 = 2.529 (outside of range, not the answer)

Choice D: number of fruit = 50

average = 25.29 / 50 = 0.5058  (outside of range, not the answer)

From the above, we can see that only B gives an average between 1.4 and 1.6 lb.

5 0
3 years ago
There are a total of 114 oak and pine trees on a piece of land. There are 26 fewer oak trees than pine trees. There is a regulat
umka21 [38]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Click on the point that best represents the location of −√5 on the number line.
navik [9.2K]

Answer:

The dot all the way on the left. The one between 2 and 3 I believe.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need help ASAP. Please answer this equation! Combine like terms.
Pavel [41]

Step-by-step explanation:

4x+ 5x - 5 +6 +4y^3- 2y^3- 5y^3

9x + 1 + 64y - 8y - 125y

9x + 1 - 69y

8 0
3 years ago
What value of a makes the equation true?<br> a+29=-63<br><br> I need help!!
irakobra [83]

Answer:

a = -92

Step-by-step explanation:

<u>Step 1:  Subtract 29 from both sides</u>

a + 29 = -63

a + 29 - 29 = -63 - 29

<em>a = -92</em>

<em />

Answer:  a = -92

7 0
3 years ago
Read 2 more answers
Other questions:
  • HEEEELP!!!!! 30 POINTS! Conjecture: Points A, B, and C are noncollinear. Is this conjecture true? No, points A and B lie on the
    8·1 answer
  • Alone has $800 to buy a computer at an annual interest rate of 10% how much interests will he have old in 3 years. Use the formu
    9·1 answer
  • Can I have some help with this
    8·1 answer
  • The table shows the price of apples in the local market. What is the cost of 12 pounds of apples? Apples (pounds) Price (dollars
    9·2 answers
  • 2,023 nearest hundred
    10·2 answers
  • Find f(5) if f(t) = ^6 – 3t – 4.<br> A –6 <br> B –2 <br> C 14 <br> D 6
    6·1 answer
  • 4
    5·1 answer
  • Please help will give brainliest ​
    7·2 answers
  • Helppp i dont understand
    13·1 answer
  • Find the area of the trapezoid<br><br> A. 168 in^2<br> B. 94.5 ft^2 <br> C. 72 ft^2<br> D. 84 ft^2
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!