On Saturday morning, Ahmed decided to take a bike ride from one end of the 15-mile bike trail to the other end of the bike trail and back. His average speed the first half of the ride was 2 mph faster than his speed on the second half. Find an expression for Ahmed's total travel time. If his average speed for the first half of the ride was 12 mph, how long was Ahmed's bike ride? ​

Answers

Answer 1

The expression which relates the total time taken and the time taken for the trip is [15s + 15(s+2)] / s² + 2s and 2.32 hours respectively.

Travel time = distance ÷ speed

Second half of the trip :

Speed = s mph

Distance covered = 15 miles

Time taken for second half of trip :

Time taken = 15 / s

First half of the trip :

Speed = s + 2 mph

Time taken for first half of trip :

Time taken = 15 / (s+2)

Total time taken :

First half + second half

15/(s+2) + 15/s = [15s + 15(s+2)] / s² + 2s

B)

If s = 12

Substitute s = 12 into the expression :

[15(12) + 15(12+2)] / 12² + 2(12)

[180 + 210] / 144 + 24

390 / 168

= 2.32 hours

Therefore, the total time taken is 2.32 hours.

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Related Questions

May I ask what’s this answer?
I wasn’t in class today:(

Answers

Answer:

Top box: 15

Bottom box: 480

Answer:

[tex]\left[\begin{array}{ccc}5&15&20\\120&360&480\end{array}\right][/tex]

Explanation:

For every 5 gallons, there's 120 miles. If we know we have 360 miles, we can see how many times 120 goes into 360, which is 3.

5 * 3 = 15.

Then just reverse the process

A mechanic charges a flat fee of $30 plus $25 an hour for labor. Which equation can be used to determine how many hours, 1, the mechanic spends working on a
particular job if the total amount earned is T dollars?

Answers

T = 25x + 30. Where 25 is the charge per hour x is # of hours and 30 is the flat fee only charged 1 time.

The formula to convert Celsius to Fahrenheit is F=57,C+32. If
the temperature is 92 degrees Fahrenheit. What is the
temperature in Celsius?

Answers

Answer:

the value of Celsius temperature is 100

o

 when Fahrenheit temperature is 212

o

.

Step-by-step explanation:

Answer please I appreciate it foo:)

Answers

Answer:

Your answer is the second one.

Step-by-step explanation:

All of the x's and y's match up.

Hope this helps!

What is the answer to 2 and 3?

Answers

Answer:

p = -10

shortest side (a) = 5

longest side (b) = 12

Step-by-step explanation:

QUESTION 2: Solve for p by isolating the variable.

3/4 p - 1/4 p + 3 = -2  ----- subtract 3 from both sides

3/4 p - 1/4 p = -5  

2/4 p = -5  ----- simplify 2/4

1/2 p = -5  ------ multiply 2 on both sides

p = -10

QUESTION 3:

Perimeter of a triangle = a + b + c

a = x

b = 3x - 3

c = 2x

x + 2x + 3x - 3 = 27 cm  ------ combine like terms

6x - 3 = 27   ----- add 3 on both sides

6x = 30

x =5   ------- substitute 5 everywhere you see "x" for the side values

side a = x = 5

side b = 3x - 3 = 3(5) - 3 = 12

side c = 2x = 2(5) = 10

shortest side (a) = 5

longest side (b) = 12

Answer:

Answer to question 2:

[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2\quad :\quad p= ?[/tex]

[tex]\frac{\left(3\right)}{\left(4\right)}p-\frac{\left(1\right)}{\left(4\right)}p+3=-2[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p+3=-2[/tex]

[tex]\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p+3-3=-2-3[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{3}{4}p-\frac{1}{4}p=-5[/tex]

[tex]Simplify\\[/tex]

[tex]2p=-20[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2p}{2}=\frac{-20}{2}[/tex]

[tex]p=-10[/tex]

_____________________________________

Answer to question 3

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Given:

Perimeter of ∆ = 27 cm

Side lengths of ∆: x, 2x, and 3x - 3

Required:

Measure of the shortest side and measure of the longest side.

Sum of all sides of the ∆ = Perimeter

Solve for x

Collect like terms

Add 3 to both sides

Divide both sides by 6

Length of each side of the ∆:

x = 5 cm

2x = 2(5) = 10 cm

3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Step-by-step explanation:

im kinda LayZai to do dis, help pleaseeeeeeeee

Answers

Answer: 2 hours 25 minutes

Step-by-step explanation:

Answer:

2 hours 25 minutes.

Step-by-step explanation:

12:15pm-9:50am=2:25.

Pretty much it, hope this helps!



Solve the system of equations using the substitution method.
x+y=6
x = 2y


Answers

y=2

if you substitute 2y in for x, you get 2y+1y=6. that is also 3y=6. 6 divided by 3 is 2 so y=2.

Answer:

x=4, y=2

Step-by-step explanation:

if x=2y just put 2y into the spot where x is for x+y=6

x+y=6

(2y) + y = 6

3y = 6

y = 2

now that I know y I can then replace y with the number 2

x= 2y

x = 2(2)

x= 4

what are the answers

Answers

Answer:

1. £44.82

2. £99.78

3.not sure

4. not sure

the answer is what the person above said

What is the least common denominator (lcd) of 1/2 2/3

Answers

Answer:

6

Step-by-step explanation:

Find the least common multiple (LCM) of the denominators in order to find the least common denominator (LCD).

Find the selling price of a book with an original price of $49.95 and a 5% tax rate.please be specific on how the answer is the answer pls help me

Answers

Step-by-step explanation:

$52.45

49.95×.05

then add that result to 49.95= answer

Help me please this is due tommorow

Answers

It’s B. (-infinity, -8)

How do I solve for Y?

Answers

Start with the small triangle on the right:

   35 + 96 + x = 180

   x = 49

Ah, you already have that.  Nice!

Now move to the biggest triangle:

   x + 77 + (35+y) = 180

but x = 49, so

   49 + 77 + 35+y = 180

   y = 19

Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of the sweatshirt before tax?

Answers

Answer:

$ 24.75

Step-by-step explanation:

10/100 = x/27.50 (10% is what of 27.50) (%/100 = is/of)

(27.50)(10)/100 (cross multiply)

= $2.75 (tax)

27.50 - 2.75 = $ 24.75


Reflect Quadrilateral Hover both the x and y
axis.

just tell me the coordinates please and thank you so much

Answers

Answer:

(0,-7) (2,0) (7,0) (7,2)

Step-by-step explanation:


Here are the two triangles from the previous screen,
along with the length you entered for XY.
What is the slope of the line?
[_________] Submit and Explain

Answers

Answer:

the slope is 1/2

Step-by-step explanation:

I picked two points (the two from the purple triangle) and I did the rise over run. The rise was 3 and the run was 6 so the slope is 3/6 but when you simplify it, it goes down to 1/2

Find the value of each variable. Please help! 25 points!

Answers

Answer:

what are the choices so I could help

Answer:

see explanation

Step-by-step explanation:

∠ L = 180° - (60 + 60)° = 180° - 120° = 60° [ sum of angles in Δ = 180° ]

Since the 3 angles are 60° , then the triangle is equilateral with the 3 sides being congruent.

Then

5x - 3 = 4 ( add 3 to both sides )

5x = 7 ( divide both sides by 5 )

x = [tex]\frac{7}{5}[/tex] = 1.4

and

2y + 6 = 4 ( subtract 6 from both sides )

2y = - 2 ( divide both sides by 2 )

y = - 1

Compare the number. -9/16 ? -7/10

Answers

Answer:

-9/16 > -7/10

Step-by-step explanation:

Please help me solve this please

Answers

Answer:

rdinates (4,5),(8,2) named point z

Step-by-step explanation:

What is 5 1/4 x 4 1/5

Answers

Answer:

The answer to your question is 22 1/20

Answer: [tex]22\frac{1}{20}[/tex] or 22.05

Step-by-step explanation:

[tex]\frac{21}{4}[/tex] × [tex]\frac{21}{5}[/tex]

[tex]=\frac{441}{20}[/tex]

[tex]22\frac{1}{20}[/tex] or 22.05

please give me a brainliest answer

Moesha has 3 dresses, 2 hats, and 5 pairs of shoes. She will choose an outfit that has one dress, one hat, and one pair of shoes. How many different outfits are possible? PLEASE HElPPPPPPPPPPPPPPPPP

Answers

Answer: 30  You're welcome (:

Para que con exactitud se pueda poner líquido en dos tambos de 60 y 90 litros, respectivamente, ¿Cuál es la capacidad máxima en litros que debe tener el recipiente a utilizar? *​

Answers

Answer:

No estoy muy seguro de esta pregunta principalmente porque tuve que traducirlo del español al inglés, pero creo que el toldo es de 120 litros. Avísame si me equivoco

Step-by-step explanation:

Esto se debe a que 60 litros es el máximo que puede aguantar el más pequeño por lo que para poner 60 litros en cada uno debes tener 120 litros en total.

maths giving 10 point asap 1 question only​

Answers

Answer:

Price of shirt=RM9.8

Step-by-step explanation:

Shirt=x Trouser=y

x+y=RM20

5x+y=RM59.20

y=20-x

5x+20-x=59.20

4x=39.20

x=9.8

y=20-9.8

y=10.2

Someone help me this is due tm

Answers

Answer:a I think although I’m really tired

Step-by-step explanation:

AB=VB is the answer hope it helps btw hi

a wheel has diameter 84cm.During a journey the wheel make 800 complete revolutions. how many meter does it travel?

Answers

Answer:

2110.08 meters

Step-by-step explanation:

find the circumference of the wheel

Divide 84 by 2 to find the radius.

84/2=42

C=2πr

C=2(3.14)(42)

C=263.76 cm

263.76*800=211008cm

Divide by 100 to convert to meters

211008/100=2110.08

2110.08 Meters

Hope this helps!

can you simplify it Please ​

Answers

Answer:

[tex] \sqrt[3]{ \frac{ {y}^{5} }{27 {y}^{3} } } = \sqrt[3]{ \frac{ {y}^{3} ({y}^{2}) }{27 {y}^{3} } } \\ \\ \\ = \sqrt[3]{ \frac{ {y}^{2} }{27} } = \frac{ \sqrt[3]{ {y}^{2} } }{ \sqrt[3]{27} } \\ \\ \\ = \frac{ \sqrt[3]{ {y}^{2} } }{3} [/tex]

I hope I helped you^_^

broborborogjdgjdsfjshfha

Answers

Answer:

waja

Step-by-step explanation:

᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼᲼

Answer:

Not answerable

Step-by-step explanation:

What is the question?

hey guys need help plese feeling like giving out mega points today

Answers

Answer:

The choice A.

Step-by-step explanation:

[tex] \frac{( \frac{a}{b} + 1) }{( \frac{b}{a} - 1) } \\ \\ \\ \frac{( \frac{a}{b} + \frac{b}{b}) }{( \frac{b}{a} - \frac{a}{a}) } = \frac{( \frac{a + b}{b}) }{( \frac{b - a}{a}) } \\ \\ \\ ( \frac{a + b}{b} ) \div ( \frac{b - a}{a} ) \\ \\ \\ (\frac{a + b}{b} ) \times ( \frac{a}{b - a} ) \\ \\ \\ = \frac{a(a + b)}{b(b - a)} [/tex]

I hope I helped you^_^

10. Determine if the equation x - y = 1 defines y as a function of x.

Answers

Answer:

No.

Step-by-step explanation:

First solve for y:-

x - y^4 = 1

y^4 = x - 1

y = +/- (x - 1)^(1/4)

This is a one-to-many relation . For a given value of y there  2 values of x.

So this is NOT a function.

May I please receive help?

Answers

Answer:

HG=7 , which would mean that HI =7 and KL = 6 so MK = 6

Answer:

HI = 7 and m ∠K = 100°

Step-by-step explanation:

In Δ GHI are angles are equal and this is an equiangular triangle. In an equiangular triangle the sides are =  and the angles are equal.

So HI = 7

In Δ KLJ, two sides are equal.  If two sides of a triangle are equal then the angles opposite those sides are equal.

Now  you know that m ∠L = 40°.   In ΔKLJ, you have the following angles measure: 40° + 40° + m ∠ K = 180°; 80° + m ∠K = 180°; m ∠K = 100°

George walked 6 miles in 2 hours
What was his average walking rate in miles per hour?
2 miles per hour
3 miles per hour
4 miles per hour
I don't know.

Answers

Answer:

b) 3 miles per hour

Step-by-step explanation:

If George walked 6 miles is 2 hours, his average walking rate would be 3 miles per hour.

6 ÷ 2 = 3.

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