A bus travels 300 kilometers at a given speed. If the speed is increased by 5 kilometers per hour, the trip will be reduced by two hours. Find the speed.

Answers

Answer 1

Answer:

25km/hr (take the word train as bus )

Step-by-step explanation:

Answer

Let x km/hr be the constant speed of the train,

Then Time taken to cover 300km=

x

300

hrs

Time taken to cover 300km when the speed is increased by 5km/hr=

x+5

300

hours

It is given that the time to cover 300km is reduced by 2 hours

x

300

x+5

300

=2

x(x+5)

300(x+5)−300x

=2⇒2x

2

+10x=1500

⇒x

2

+5x−750=0⇒x

2

+30x−25x−750=0

⇒(x+30)(x−25)=0⇒x=25orx=−30

But x cannot be negative. Therefore x=25

Hence, the original speed of the train is 25km/hr


Related Questions

Does anyone know this?

Answers

Answer:   y = 2x-3

Slope = 2

Y intercept = -3

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

Explanation:

We'll use the template y = mx+b

m = slope

b = y intercept

The y intercept always occurs when x = 0. In this case, b = -3 due to the first row of the table.

The slope is m = 2 because each time we increase x by 1, the y value goes up by 2.

So we can say

m = slope = (rise)/(run) = (change in y)/(change in x) = (2)/(1) = 2

Or we can apply the slope formula

m = (y2-y1)/(x2-x1)

using any two points of the table.

--------------------

Since we know m = 2 and b = -3, this means we get

y = mx+b

y = 2x+(-3)

y = 2x-3

At Zeke's Hats, there are 477 baseball caps and 477 other hats. What percentage of the hats are baseball caps?

Answers

the percentage of hats that are baseball caps is 50%

CAN SOMEONE PLEASE HELP YOU WILL BE MARKED AS THE BRAINLIEST AND AWARDED LOTS OF POINTS AND 5 STARS WITH A THANKS

Answers

Answer: See explanation

Step-by-step explanation:

7.) (0, 2)

Slope of (0, 2) and (-10, -16) = 2 - (-16) ÷ 0 (-10) = 18/10 = 9/5

8.) a. Slope of (17, -12) and (17, 8)

8 - (-12) ÷ 17 - 17 = 20 ÷ 0 = undefined

b. Slope of (6, -2) and (-3, 1)

1 - (-2) ÷ -3 - 6 = 3/-9 = -1/3

9.) (-3, 33) and (4, -9)

-9 - 33 ÷ 4 - (-3) = -42/ 7 = -6

10.)  Hourly: c = 75h + 15

c - charge

h - hours

1 hour

c = 75 (1) + 15

c = 75 + 15 = 90

The hourly charge for services is $90.

11.) C. A newborn weighs 8 pounds and gains 1.5 pounds each month for the next 3 months.

While shopping with your friend, Rory, you remember you have a coupon for 10% off any item. The thing you want is $100 and it is on sale for 15% off. Rory tells you that if you use your coupon, you will get 25% off the original price. Is Rory correct? How much will the item cost you after getting both discounts?

Answers

Answer:

it is b i did it on eg 2020

Step-by-step explanation:

Which expression is equivalent to -8.2-5?

A. −8.2+(−5)
B. 8.2 - 58.2−5
C. 5−(−8.2)
D. −8.2+5

Answers

Answer:

-8.2 + (-5)

Step-by-step explanation:

I got you queen

What is 3.14x2/1000x3.14

Answers

Answer:

[tex]→3.14 \times \frac{2}{1000} \times 3.14 \\→ 3.14 \times 0.002 \times 3.14 \\→ \boxed{0.0197192}✓[/tex]

0.0197192 is the right answer.

please solve for SQ.

Answers

Answer:

SQ=128

Step-by-step explanation:

A car rental agency charges 150 per week +0.45 per mile to rent car express the weekly cost to rent a car if as a function of the number of miles driven during week X

Answers

Answer:

The required function is:

[tex]C(x) = 150+0.45x[/tex]

Step-by-step explanation:

We have to represent the given scenario as an equation or function

Let x be the number of miles driven in a week

Let C(x) be the function of the number of miles driven

As it is given that charges are 150 per week, these charges are constant so they will be used as it is.

It is also given that the cost of car is 0.45 per mile so for x miles the cost will be:

0.45x

Combining both terms, we get

[tex]C(x) = 150+0.45x[/tex]

Hence,

The required function is:

[tex]C(x) = 150+0.45x[/tex]

What is -12x + 10 = - 14

Answers

Step-by-step explanation:

- 12x + 10 = - 14

- 12x = - 14 - 10

- 12x = - 24

x = - 24 / - 12

x = 2

Hope it will help :)

What us 36 divided by 1/4 i'm stuck on this

Answers

Answer:

144

Step-by-step explanation:

144.....................

Answer this question in Spanish:
Imagine that you are on an uninhabited island and you could only bring three things with you. What did you bring?

Answers

Answer:

Si estuviera en una isla deshabitada y solo pudiera traer tres cosas, llevaría mi teléfono, latas de fruta y una manta.

Graph: Which of the statements are NOT true.

Answers

the following statement is not true is number 4

A rectangle has a height of 4x and a width of 3x + 1.​

Answers

Answer:

area of rectangle= length x width

height 4x and width = 3x+1

area of recatangle=4x(3x+1)

=12x^2+4x

perimeter of recatangle=4x+3x+1+4x+3x+1=14x+1

hi I need help with my Khan academy homework whats the answer to X ​

Answers

Answer:

4 i belive x = 4

Step-by-step explanation:

9 divided by 3 = 3

12 divided bye 3 = 4

Answer:

x = 3

Step-by-step explanation:

Since the two legs of the outer triangle equal the same (12), it is safe to assume the two legs of the inner triangle will equal the same. Therefore, x is equal to 3.

What is the equation of the line through the origin and (-8,-5)?
O A. y = 2
O B. y = sa
O C. y=-5x
D. y=-8x

Answers

A because 2small for 8multiples

What is the quotient of 28.32 ÷ 0.24?

Answers

The quotient is 118 hope that Helps have a nice night or day

Answer:

118

Step-by-step explanation:

HELP NEEDED

Thank you

Answers

Step-by-step explanation:

h×I×w

;

8×6×4

= 192

hope it helps


What is the median age

Answers

Median age is the age that divides a population into two numerically equally sized groups - that is, half the people are younger than this age and half are older. It is a single index that summarizes the age distribution of a population.

Help please

Fernando has a rectangular flower garden (hat is 9 meters long and 4 meters wide.
He needs to buy enough fertilizer to cover the garden. How much fertilizer does he
need to buy?
2.25 square meters
13 square meters
36 square meters
40 square meters

Answers

Answer: 36

Step-by-step explanation:

you multiply 9 by 4 to get 36.

Can someone PLEASE solve this quadratic equation by factoring with the steps? :(

y= x squared +2x - 2

Answers

Answer:

There are no simple factors to this expression.  You can however solve for x, giving you:

x = -1 ± √(y + 3)

Step-by-step explanation:

There is no simple pair of factors to this equation, so we'll have to go through the full process.  You can see that by observing that there is no pair of rational numbers that add to make 2 and multiply to make -2.  We can however solve for x:

[tex]y = x^2 + 2x - 2\\y + 2 = x^2 + 2x\\y + 3 = x^2 + 2x + 1\\y + 3 = (x + 1)^2\\(x + 1)^2 = y + 3\\x + 1 = \pm \sqrt{y + 3}\\x = -1 \pm \sqrt{y + 3}[/tex]

NEED HELP PLEASE!! LOOK AT PICTURE-

Answers

Answer:

c. 5 units

Step-by-step explanation:

because if ABC and cda are congruent then that means they are the same and since AD and BC are across each other they thay would be the same.

the answer is 5 because the other side is congruent and it’s 5.

is it linear or nonlinear

Answers

Answer:

The graph is nonlinear

Step-by-step explanation:

f(x)=3x-5; find f(-4)

Answers

Answer: i think is

f= 17/4 is what i got   ∩· ω · ∩

Step-by-step explanation:

Bill paid $35.99 in tax on a laptop that cost $449.99 about what percent sales tax did bill pay

Answers

Answer:

7%

Step-by-step explanation:

PLEASE HELPPPP! DUE BY TOMORROW

Answers

Answer: C

Step-by-step explanation:

Length = x+6

Width = 2(x+6)

Area = x+6*2x+12

        =  2[tex]x^{2}[/tex]+72

Which expression is equivalent to the given expression 2(3a+2b-7)

Answers

Step-by-step explanation:

2(3a+2b-7=6a+4b-146a+4b-146a=-4b+14a=(-4b+14)÷6a=(-4b+14)÷6 in 6a+4b-14

6({-4b+14}÷6)+4b-14

-4b+14+4b-14

0

What are the factors of 1/36 ( 1 )
(36)

Answers

Answer:

Positive Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36

Negative Factors of 36 are – 1, – 2, – 3, – 4, – 6, – 9, – 12, – 18, and – 36

Step-by-step explanation:

solve for x

925 + x = 652

Answers

Answer:

x=-273

Step-by-step explanation:

first you move the constant to the right. it should look like this(x=652-925)

then you subtract and you should get -273


A single 6-sided die is rolled. What is the probability of rolling a number
greater than 3 or an even number?

Answers

Answer:

what are your answer choices?

Step-by-step explanation:

Answer:

you have a 50/50 chance of rolling anything

Step-by-step explanation:

so it would be like in a fraction 1/2

Jupiter: 7.78 x 108 kilometers
Mercury: 5.79 x 10 kilometers
How many times farther from the sun is Jupiter? Write your answer in
standard notation, rounding to the nearest tenth.

Answers

Answer:

Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.

Work out the total fine paid by Amelia. Give your answer in £

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