At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.

A. northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h

B. northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h

C. northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h

D. northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h

Answers

Answer 1

Answer:

D Option is the correct one.

Step-by-step explanation:

As,

Distance covered = 40km = 40000m(1k=1000m)

time = 10:15-9:00 = 1:15hours = 75mins

We need to find the rates of the bicyclist in one hour so, for this first we need to calculate the total distance which covered in one hour.

For calculating distance for one hour,

40000/75 = 533.33m/min (means they covered 533.33m distance in one min)

for one hour:

533.33*60= 32000m = 32km

They covered 32km distance in one hour.

Now from the given options D is the correct one because according to give condition north bicyclist covered 4km more that south one. And other reason is we also need to check the sum of distance covered by the both cyclist which must be equal to 32km.

So for A,

Sum = 19 + 15 =34 (wrong not equal to 32)

For B,

Sum = 18 + 13 = 31 (wrong)

For C,

Sum = 16 + 10 = 26(wrong)

For D,

Sum = 18 + 14 = 32 (Right)

And second distance b/w both distance is 4km.

18-14 = 4(Right)

So, D option is the right one.

I hope it will help you.


Related Questions

there are 15 pieces of fruit in a bowl and 6 of them are oranges.what is the percenage of fruits are in oranges

Answers

Hi there!

We can find the percentage by expressing the amount of oranges to total fruits as a fraction:

[tex]\text{ oranges to total fruit} = \frac{\text{x Oranges}}{\text{ y total pieces of fruit}}[/tex]

Plug in the given values:

[tex]\text{ oranges : total fruit} = \frac{\text{6}}{\text{15}} = 0.4[/tex]

Convert to a percentage by multiplying by 100:

0.4 × 100 = 40%.

[tex]\boxed{\text{40\% of total pieces of fruit are oranges}}[/tex]

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Answer:

I would have to see the line to answer the question.

if you add 5 to me then divide 7, and add 12 then subtract 7 you get 10 what number am i

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Answer:

hii the answer is 30 :D have a nice day

i dont even think i'm right but ok

didn't you just say you got the number 10? i'm guessing the number is 10

Doug digs a hole that is 1.7 feet below ground level. He plants a bush that is 3 7/10 feet tall from the bottom of the root to the top branch. how much of the Bush is above the ground? (help this assignment is apart of my grade!)​

Answers

Answer:

2 feet

Step-by-step explanation:

37/10 - 1.7

3.7 - 1.7

2.0

= 2 feet

3. At lunchtime, Rolly stayed in the library for hour. After school, he went back to the library to do research for hour. How much longer did he stay in the library after school than at lunchtime?



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Answers

Answer:

ask your momma or dad bozo!!!!!!

Step-by-step explanation:

Show all the calculation if it is a numerical question.

10 to the power of -2 as a fraction

Answers

Answer:

Step-by-step explanation:

10 to  the power of -1 = 0.1

10 to the power of -2 = 0.01

0.01 as a fraction =

1/10000

because

10 = 1/10  or 10/100

1= 1/100

0.1 = 1/1000

0.01 - 1/10000

Answer:

1/100

Step-by-step explanation:

10^2 is 100 so 10^-2 would be 0.01 or 1/100

you eat 3/10 of a packet
of donuts. your friend eats 1/5 of
the pack of donuts. How much of
the pack do you and your friend
eat?

Answers

Answer:

5/10 or 1/2 is the answer I think

PLEEEAASSEEE HELP

Find the constant of proportionality and write an equation for the following proportional relationship.

You can buy 14 apples for $28.

Use a to represent number of apples and c to represent the cost

Answers

Answers:

constant of proportionality:  2equation is:  c = 2a

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

Explanation:

a = number of apples purchased

c = cost in dollars

The equation is in the form c = ka, where k is the constant of proportionality. It tells us what to multiply 'a' by to get the cost c. In more realistic practical terms, the value of k is the cost per apple (aka unit cost).

To find this unit price, we divide the given price by the given number of apples: k = c/a = 28/14 = 2. Each apple is $2. The constant of proportionality is 2.

We'll update the equation from c = ka to c = 2a

Note that if we bought a = 14 apples, then it costs us c = 2a = 2*14 = 28 dollars as expected.

Answer:

c=2a

Step-by-step explanation:

c=2a

Calcula lo solicitado para una persona que gana un salario de $980.000 mensuales:
auxilio de transporte: $106.454
18 dias de trabajo: sueldo /30 * los dias que le quiero pagar
auxilio de transporte: aux tras/30* los dias que le quiero pagar
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Yes baby of course totaln yess

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Answers

Answer:

Table 2

Step-by-step explanation:

We can solve this by dividing the number of pizzas at each table by the number of kids at each table.  This will tell us how much pizza each kid is able to eat:

Table 1:

2 pizzas/5 kids = 2/5 pizzas per kid = 0.4 pizzas per kid

Table 2:

3 pizzas/7 kids = 3/7 pizzas per kid = 0.429 pizzas per kid

Table 3:

5 pizzas/12 kids = 5/12 pizzas per kid = 0.417 pizzas per kid

The kids at table 2 are able to eat slightly more pizza than the kids at the other tables.

As a puppy, Cricket weighed 3 3/4 pounds. At her 1-year check-up with the vet, Cricket weighed 12.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number in the box.​

Answers

Answer:
8.75lb :)

Explanation:
12.5 - 3 3/4 = 8.75lb

Answer:

8.75lb

Step-by-step explanation:

pls mark brainliest :)

1 2/3 + (2 1/2) = ?
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Answers

The answer is about 4.1.

Solve for m.
13m – 34m + 42m - 22m + 8 = -41

Answers

Answer:

m=14

Correct me if I'm wrong ^•^

Answer:

m = -49

Explanation:

Combine like terms

13m - 34m + 42m - 22m + 8 = -41

-m + 8 = -41

Subtract 8 from both sides of the equation

-m + 8 = -41

-m + 8-8 = -41 -8

Simplify

Subtract the numbers

-m = -49

The! width! of! a! rectangular! box! is!2cm!less! than! its! length.! The! height! of! the! box!is!8cm.!Which

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Answer:

Step-by-step explanation:

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Answers

Answer:

f = 5/6 = 0.833  or f = 0

Step-by-step explanation:

Name the corresponding angles

Answers

Answer:

Falta otro triangulo para poder realizar la operacion

Step-by-step explanation:

It’s B C hope that helps

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When you have an inequality with a variable term on both sides, what should you use to collect all the variable terms on one side and all the constant terms on the other side?

Answers

Answer:

if they are like terms add or subtract them to the one side to make it positive then for the constants add or subtract then to the other side and divide the variable to make it =1 ex: 2x-3=-1x+3

add 1x add 4

3x = 6

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Answers

Answer:

15 days

Step-by-step explanation:

Take LCM of 3 and 5 and u get your answer

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Answers

exact form: x = 3/11

decimal form: x = 0.27

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Answers

a) Keith's car will have less gas.

Locate the point in which miles driven = 90 (Between 60 and 120)

Since Keith's line is lower than Carmen, he has less gas.

We can also find the difference: 11 - 10 = 1.

It will have 1 less gallon.

b) Look at the point in which both lines meet. This means that they have the same amount of gallons remaining (8) at 180 miles driven.

Before 180 miles, Keith's car will always have less car remaining.

Explain how 1 + 1 can be three.

Will mark brainliest

Answers

Answer:

1+1=2  

1+1−52=2−52

(1+1−52)2=(2−52)2

(1+1−52)2=22−10+(52)2

(1+1−52)2=4−10+(52)2

(1+1−52)2=9–15+(52)2

(1+1−52)2=32–15+(52)2

(1+1−52)2=(3−52)2

1+1−52=3−52

1+1=3

I really need help with this and happy thanksgiving

Answers

Answer:

C (-2,2)

D (1,-2)

Step-by-step explanation:

happy thanksgiving!

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Answers

Answering part A:

5x + -3x    7y + 3y + 2y    4xy doesn't have a like term

Step-by-step explanation:

like terms are when in an equation they might have variables that match like 4y + 7y they have the same variable which is y or 6 + 7 they don't have a variable at all but they are similar in that way. Btw why it says -3x is because I changed the equation to be all addition so I did kcc you don't have to do that if you find a different solution :) anyway lets move on to part b

Answering part B:

4xy + 2x −2y

Help please I really don’t understand

Answers

≥-2 ≤ 2 I think that this might be the answer

Answer:

-2 ≤ x ≤ 2

Step-by-step explanation:

x values will be somewhere between -2 and 2 and include -2 and 2

Is 500 x 30 a good estimate for the number of tickets sold at the number of tickets sold at the theater in one month

Answers

Answer:

It depends if business is steady. If they make about 500 a day that is a fair estimate. Make sure that the month you are talking about has 30 days.

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Answers

Step-by-step explanation:

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Answers

I would say A, reasoning.

Answer: reasoning

Step-by-step explanation:

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Answers

Answer:

Write the correct order of the letters to the finish line

Write the correct order of the letters to the finish line

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Answers

Answer:

a. (4, -3)

b. (-2.5, -4)

Step-by-step explanation:

a. 2x - 4y = 20

x = 4

step 1: plug in x value

2(4) - 4y = 20

8 - 4y = 20

Subtract 8 on both sides

-4y = 12

divide both sides by -4

y = -3

b. y = 6x + 11

2x - 3y = 7

step 1: plug in the y value

2x - 3(6x + 11) = 7

step 2: distribute

2x - 18x  - 33 = 7

add 33 from both sides and combine like terms

-16x = 40

divide both sides by -16

x = -2.5

Okay now you plug in the x value to solve for y

y = 6(-2.5) + 11

y =-4

Index and laws

evaluate
A) 55^0
B)100^1

Answers

Answer:

Step-by-step explanation:

Hey there!

so answer for (A is 1)

Answer for (B is 100)

Thank you have fun!

Answer:

Step-by-step explanation:

a) [tex]55^{0} = 1[/tex]

Anything raised to power 0 is 1

[tex]b) 100^{1} =100[/tex]

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