Mathematics High School

Jack drove to the train station and back. It

took two hours less time to get there than

it did to get back. The average speed on

the trip there was 40 km/h. The average

speed on the way back was 24 km/h. How

many hours did the trip there take?

Answers

Answer 1

Answer:

8hours

Step-by-step explanation:

let the time taken to get back be x

so that the time needed to go is (x-2)

we know that speed= distance/time

therefore the speed for the return is 24 km/h.

distance (return)= 24*x

distance (return)=24x

therefore the speed to the station is 40 km/h.

distance (return)= 40*(x-2)

distance (return)=40x-80

We know that the distance is the same

24x=40x-80

24x-40x=-80

16x=80

divide both sides by 16

x=5

the time taken to get back is x=5hours

the time taken to is x-2=(5-2)= 3hours

the total trip takes 3+5= 8hours

Related Questions

is 61% a rational number​

Answers

Answer: No

Step-by-step explanation: It is irrational because 61 is a prime number.

What is the area of a rectangle piece of pavement that is 20 ft wide by 15 yards long

Answers

Answer:

300

Step-by-step explanation:

To find the area, you should multiply 20 by 15

Answer: 6,000 square ft

Step-by-step explanation:

w=20 ft

l=100 yd

1 yard = 3 feet

l = 100 yd=100 times 3 ft=300 ft

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What is the slope and the y-intercept in this linear equation?



y = -x + 4

Answers

Slope: -1

y-intercept: 4

*Any time x is by itself, it is either positive 1 (just x by itself) or negative 1 (x with a negative sign)

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Answer:

a

Step-by-step explanation:

Answer:

A

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

a line has a slope of –3/4 and passes through the point (-5, 4). which is the equation of the line

Answers

Step-by-step explanation:

4=-3/4(-5)+b

4=15/4+b

16/15=b

y=-3/4+16/15

What is 9,2345 + 35.98

Answers

the answer is

92,380.98

Answer:

9,2380.98

Step-by-step explanation:

 92345

+00035.98

A deep-sea exploring ship is pulling up a diver at a rate of 25 feet per minute the diver is 200 feet below sea level how deep was in diver 10 minutes ago?

Answers

Answer:

the diver was 450 ft below sea level

Step-by-step explanation:

25ft per min

25x10=250

250+200=450ft

Answer:

450 feet below sea level

Step-by-step explanation:

25 feet per minute 10 minutes, so you multipy them 25x10=250, and then add that to the level he's at right now, 200+250=450.

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Answers

Answer:

smack her or washout her mouth with soap than

Step-by-step explanation:

What direction will the parent graph move if... f(x - 6) = (x - 6)

Answers

Going from f(x) = x to g(x) = f(x-6) = x-6 will move the graph 6 units to the right.

Effectively replacing x with x-6 shifts the xy axis 6 units to the left, giving the illusion the function curve shifts 6 units to the right.

Answer: shifts 6 units to the right.

The number of 7th graders attending Middle field Science Academy this year is 130% of last year’s total. If 500 7th graders attended last year, how many attend this year? A tape diagram. There are 130 students who are 7th graders this year out of 100 who were 7th graders last year. There are question mark students this year out of 500 who were 7th graders last year. Which steps should be used to find 130% of 500? Check all

Answers

Answer:

B. (100)(5)=500 C.(130)(5)=650 D.130/100= 650/500 E. There are 650 7th graders this year

Step-by-step explanation:

Just took it on Egde

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Answers

1. Is zero
2. Zero
3

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Answers

Answer:

0.038

Step-by-step explanation:

Perhaps it might be if when it is not it. But maybe.

Pls answer: -4y - 4 + (-3)

Answers

The answer is -4y-7 Goodluck!
Answer: -4y - 7

Explanation: Keep the -4y and combine like terms. -4 - 3 = -7

Hope this helped! :)

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Answers

Step-by-step explanation:

Given,

LP = 15, PR = 9

Point P lies on the line segment PR. It would mean that,

LP + PR = LR

⇒LR = 15 + 9

⇒ LR = 24

Hence, "LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution" is the correct option.

Monica ran 20 miles in two days. How many miles did she run each day, if she ran 4 more miles on the second day than on the first day?

On the first day she ran _____________ miles, and on the second day she ran _______ miles.

Answers

Answer:

6 miles on the first day and 14 miles on the second day

Step-by-step explanation:

Answer:

[tex]in \: day \: one \: she \: ran \: 8 \: mile s.\\ in \: day \: two \: she \: ran \: 12 \: miles.[/tex]

Step-by-step explanation:

[tex]let \: the \: number \: of \: miles \: for \: the \: first \: day \: be : x \\ let \: the \: number \: of \: miles \: for \: the \: second \: day \: be : x + 4 \\ therefore \: in \: two \: days \: she \: ran \: 20 \: miles = x + (x + 4) \\ now......thats \: the \: required \: equation....... \\ if \: x + (x + 4) = 20 \: then : \\ 2x + 4 = 20 \\ 2x = 20 - 4 \\ 2x = 16 \\ x = 8. \\ so \: in \: day \: one \: she \: ran \: 8 \: mile \\ in \: day \: two \: she \: ran \: (8 \: + 4) \: miles = 12 \: miles[/tex]

its so funny how you reacted to the other helper

♨Rage♨

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Answers

Answer:

36/9= a

and

4

Step-by-step explanation:

you just divide 36 by 9 and you get 4.

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Answers

Answer:

rational

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

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Answers

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Step-by-step explanation:

In the figure, MQ , SP and NR intersect at point O. What is the value of x? A. 110° B. 60° C. 70° D. 90°

Answers

Where is the figure??

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The angles of a straight line is defined as the angles that when added up, sums up to 180°.

Both angle NOP, POQ and QOR are angles on a straight line that adds up to 180°.

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= 180-110

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Answers

Answer:

191.111111111

Step-by-step explanation:

29.24 / 0.153 =191.111111111

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Answers

Answer: 18

Step-by-step explanation:

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-3

3

-1

1

Answers

Answer:

1

Step-by-step explanation:

Set x - 1 equal to zero

x - 1 = 0

x = 1

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Answers

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Step-by-step explanation:

Answer:

(5,13)

Step-by-step explanation:

. Factor this Quadratic. What is it in factored form?
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Answers

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Answers

Answer:

3(4) + 5 = 17

Step-by-step explanation:

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12 + 5 = 17

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picture 1 picture 2



is greater than
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Answers

Answer:

Is Equal to

Step-by-step explanation:

2/3 = 8/12

2/3 = 4/6

2/3 = 2/3

11. |-8| + |6| =
12. |-3| +8 =
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15. -14-16| =

Answers

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Answers

Answer:

56%

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

in the pic below!!

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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