A truck left a station at 6:00am traveling at a rate of 45km/h. A van left the same place 2 hours later heading in the same direction at a rate of 54km/h. At what time will the van catch up with the truck?

Answers

Answer 1

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm

Find out more on speed at: https://brainly.com/question/3004254

Answer 2

Answer:

The Van would catch up with the truck at 6:00 pm

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let us say the van catch up with the truck after t hours at a distance d.

For the truck:

45 = d/t

d = 45t

For the Van:

54 = d / (t - 2)

d = 54t - 108

45t = 54t - 108

9t = 108

t = 12 hours

The Van would catch up with the truck at 6:00 pm


Related Questions

An item is regularly priced at $55. Miguel bought it on sale for 40% off the regular price. How much did miguel pay?

Answers

Answer: so Miguel payed $33

steps:

1. first find what 40% of $55 which gives us $22

2. Final Price = Original Price - Discount

Final Price = 55 - 22

Final Price = $33.00

David makes a pizza with 8 slices of equal size . He covers 5 of the 8 slices with pepperoni. What percentage of the pizza is covered with pepperoni

Answers

Answer:

5/8 * 100 = 62.5 %

These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two blue marbles if the first one is placed back in

Answers

Answer:

2/9

Step-by-step explanation:

(I need these answered asap and with work and explanation included)

Answers

Answer:

blue marbles - 2/9. red marbles - 3/9 = 1/3 clear marbles - 4/9. Davis got a 2/9 chance and Tessa got a 2/8 or 1/4 chance. I don't know about the last question. it might be 5/9 but I don't know sorry.

two hundred and seven thousand in standard form

Answers

Answer:

7,200

Step-by-step explanation:

I hope this helps!

3/5 of a number is 30. What’s the number?

Answers

The number is 50

3/5x=30
Multiply each side by 5/3
x=50
Answer:a = 50Step-by-step explanation:3/5 x a = 30=> 3a/5 = 30=> a/5 = 10=> a = 50Conclusion:

Therefore, the number is 50.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

add (7x^2-3 x)+(5x-6)

Answers

Answer:

Step-by-step explanation:

(

4

x

)<(

15

5(5x−2)−3(7x−3)

)

(

4

x

)<(

15

25x−10−21x+9

)

(

4

x

)<(

15

4x−1

)

15x<16x−4

4<x

∴x∈(4,∞)

How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!

Answers

Answer:

It's the first one. We notice that for every package there are 36/3 = 12 pencils. Therefore for 4 packages there will be 4*12 = 48 pencils.

Mario and Andrew's hourly charge for mowing lawns is shown.

Mario: $8.25/h
Andrew: $5.85/h
Suppose Mario and Andrew each worked for 20 hours. About how much more money did Mario earn?

Answers

about $40 explanation. in this problem you need to round and multiply so round each number 8.25 rounds to 8 and 5.85 rounds to 6 multiply each by 20 and then subtract the greater number by the less number.

PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT

Answers

Answer:

c = 13

m∡A = 60°

m∡B = 30°

Step-by-step explanation:

This is a 5-12-13 triangle. However, to make sure, I will put the steps.

Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:

a² + b² = c²

Plug in the corresponding numbers to the corresponding variables:

5² + 12² = c²

Simplify. First, solve the exponents, and then add:

(5²) = 5 * 5 = 25

(12²) = 12 * 12 = 144

25 + 144 = c²

c² = 169

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:

√c² = √169

c = √169 = √(13 * 13) = 13

c = 13

13 is your answer for c.

Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).

Someone help me with this please

Answers

Answer: x = 43, ABC = 180 degrees, DBC = 48 Degrees

Step-by-step explanation:

(3(x+1))+(x+5)=180 degrees

4x+8=180

4x=172

x=43

using these we plug in.

ABC = is 3(44) + (48) = 180

DBC = 43+5 = 48

please help me, i dont really understand this

Answers

Answer:To convert a mixed fraction to an improper fraction, follow these steps:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator. or this might also help,

Then write the result on top of the denominator. To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have.

Step-by-step explanation:

Hope this help

given that 3^y=243:find the value of y​

Answers

Answer:

5

Step-by-step explanation:

So lets do this slowley

3x3=9

9x3=27

27x3=81

81x3=243

It took 5 threes or 3x3x3x3x3 to get 243

Answer:

y=81, try that for answer

Hurry up some one answer Which statement about the graph of a linear function is true?
A
The graph intersects the x-axis in two unique places.
B
The graph intersects the y-axis in two unique places.
C
The graph is a curved line.
D
The graph is a straight line.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

explain please i dont get it

Answers

Answer:

.........................

......

Determine the two positive integers each square root falls between.


10. ✔️28


11. ✔️3


12. ✔️59


13. ✔️115


14. ✔️772


15. ✔️140

Answers

Answer:

  10. (5, 6)

  11. (1, 2)

  12. (7, 8)

  13. (10, 11)

  14. (27, 28)

  15. (11, 12)

Step-by-step explanation:

If you're not familiar with the squares of small integers, your calculator can help you figure this.

10. √28 ≈ 5.291 . . . . between 5 and 6

11. √3 ≈ 1.732 . . . . between 1 and 2

12. √59 ≈ 7.681 . . . . between 7 and 8

13. √115 ≈ 10.724 . . . between 10 and 11

14. √772 ≈ 27.785 . . . . between 27 and 28

15. √140 ≈ 11.832 . . . . between 11 and 12

Twelve is sixteen less than four times a number. Write it as a mathematical statement.

Answers

Answer:

12=4x-16

x would represent the unknown number.

What's the area of a triangle and circle?

Answers

Answer:

Formula?

Step-by-step explanation:

Triangle = Area = 1/2bh

circle = Area = pi x r^2

Hope it helps

Adam has $87.14. He has 10 bills and 19 coins how ? Explain how you solved it .

Answers

Answer: $42

Step-by-step explanation:


3. You miss a free throw 3/10 of the time
A) likely
B) unlikely
C) certain
D) equally likely

Answers

Out of every 10 free throws, you miss only 3.

Converting to a percentage: 3/10 = .3 x 100 = 30%.

Therefore, 3/10=30%. So, you only miss 30% of the time, which means that you make the free throws 7/10 of the time or 70%.

The answer would be that you are likely to make the free throws, so answer A.) is correct.

You miss a free throw 3/10 of the time is unlikely event. Therefore, option B is the correct answer.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Given that, miss a free throw 3/10 of the time.

Here, 3/10 =0.3

The total probability is always equal to unity.

If the event is “certain” to happen, the probability will be 1.

If the event is “likely” to happen, the probability will be between 1/2 and 1.

If the event has an “equal chance” to happen or not, the probability will be 1/2.

If the event is “unlikely” to happen, the probability will be between 0 and 1/2.

You miss a free throw 3/10 of the time is unlikely event.

Therefore, option B is the correct answer.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ6

Find the value of x





First person to answer correctly gets brainliest.

Answers

Answer:

x is 54

Step-by-step explanation:

90-36=54

How many minutes make a hour

Answers

Answer:

60 minutes make an hour

Step-by-step explanation:

Because 1 hour = 60 minutes

60 minutes equal a hour

Determine algebraically if the function is even, odd or neither:f(x)=5x2+2x+1

Answers

This function is neither even nor odd.

We have

f(x) = 5x² + 2x + 1

f(-x) = 5 (-x)² + 2 (-x) + 1 = 5x² - 2x + 1

- f(x) = -5x² - 2x - 1

but neither f(-x) = f(x) nor f(-x) = -f(x).

what is 80,704 rounded to the nearest 10 thousand

Answers

80,000

Just look at the number in the ten thousand place and check if you have to round up or down.

help please 6(l+3)<3(2l+6)

Answers

Answer:

No solution

Step-by-step explanation:

Expand and simplify both expressions:

6l+18 < 6l+18

6l+18-18 < 6l+18-18

6l < 6l

0 < 0

Therefore, there is no solution

what is the answer in simplest form?

Answers

[tex]\\ \sf\longmapsto 2m^2=-200[/tex]

[tex]\\ \sf\longmapsto m^2=-100[/tex]

[tex]\\ \sf\longmapsto m=√-100[/tex]

[tex]\\ \sf\longmapsto m=√100i[/tex]

[tex]\\ \sf\longmapsto m=10i[/tex]

Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
A.1
В.15
c. 6
D. 2

Answers

Answer:

15 in the correct answer

Will mark brainleist

Answers

Answer:

-5/3

Step-by-step explanation:

Did this before

SOS l don’t understand please help me

Answers

Answer:

that's the answer hope it helps to you

.The quotient of 9.75 and a number is-6.5

Answers

Answer:

1.5

Step-by-step explanation:

Set uo an algabraic equation like so:

9.75/x=6.5

Solve by multiplying both sides by x

then you get 9.75=6.5x

Then you divide 6.5 on each side

x=1.5

Answer:

1.5

Step-by-step explanation:

9.75/5.5=1.5

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