Option A is correct, 2 hours longer it takes for the cyclist than the train to cover 80 km distance.
Given that car travels at a speed of 25 mph.
Total distance travelled is 80 kilometers.
Train travels three times faster than car:
So speed of train = 3×25
=75 mph
=120 km/h
So, to cover 80 km train takes time: 80/120
=4/3 hrs
Cyclist travels 1/5 as fast as train:
So speed of cyclist =75×1/5
=15 mph
=15×1.6
=24km/h
To cover 80 km cyclist takes time: 80/24
=10/3 hours
So cyclist takes longer times than train:
=(10/3-4/3) hours
=6/3 hours
=2 hours
Hence, 2 hours longer it takes for the cyclist than the train to cover 80 km distance. option A is correct.
To learn more on Speed click:
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COmplete question:
Four people each travel the same distance using a different mode of transport.
The car travels 80 kilometers with an average speed of 25mph. The cost of running the car is 5p per minute.
The bus takes a five minute rest stop half way. They arrive at the same time . The cost of running the bus is 20% more expensive per minute than the car.
The train travels three times faster than the car. The cost of running the train is three times more expensive than running the bus.
The cyclist travels 1/5 as fast as the train. The cost of running bicycle is 5% of the cost of running the train.
1 mile = 1.6 km
Speed = distance/time
How much longer does it take the cyclist than the train?
(A) 2 hours
(B) 2 hours 10 minutes
(C) 2 hours 20 minutes
(D) 2 hours 30 minutes
(E)2 hours 40 minutes
I need help ASAP
What is the operation in the equation 5n =-20?
Answer:
Division :)
Hope this helps!
I need help please x+6=8+7
Answer:
9
Step-by-step explanation:
8+7=15
15-6=9
Step-by-step explanation:
x+6=8+7
-6 -6 -6
x= 2+1 i think this is the answer
whats i[ in school i know you have to where a mask
I made 10 cups of granola that we eat in ⅔ cup servings. How many servings will we have out of the 10 cups of granola?
Answer:
15 servings
Step-by-step explanation:
divide the numbers
Donavan received 6 votes for every vote that Karen received it donavan recieved 2136 votes how many votes did Karen receive
Answer:
365
Step-by-step explanation:
2,136 divided by 6
Triangle QRS is rotated 180° about the origin. On a coordinate plane, triangle Q R S has points (negative 4, 1), (negative 4, 4), (2, 1). What are the coordinates of point S'?
Answer:
D. (2, -1)
Step-by-step explanation:
I took the test and got it right.
Triangle QRS is rotated 180° about the origin. On a coordinate plane, triangle Q R S has points (-4, 1), (-4, 4), (2, 1). So, the coordinates of point S will be (2, -1).
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
If the point is in the second quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
Triangle QRS is rotated 180° about the origin.
On a coordinate plane, triangle Q R S has points (-4, 1), (-4, 4), (2, 1).
So, the coordinates of point S will be (2, -1).
Learn more about the rotation of a point with respect to origin here:
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what is the value of the expression shown below?
8-(-5.5)
A. -13.5
B. -2.5 show work please
C. 2.5
D.13.5
Does anyone knows how to do that?
I need to solve for x
Answer:
[tex]x=106[/tex]
Step-by-step explanation:
[tex][Kindly\ find\ the\ attachment\ for\ better\ understanding.]\\We\ are\ given,\\AC\ and\ BD\ are\ two\ parallel\ lines\\\angle CAO=34\\\angle OBD=72\\Lets\ draw\ a\ third\ line\ from\ Point\ O\ parallel\ to\ the\ two\ lines.\\Lets\ denote\ it\ as\ OE.\\\\We\ know\ that,\\'When\ two\ parallel\ lines\ are\ cut\ by\ a\ transversal,\ the\ pairs\ of\ Alternate\\ Interior\ Angles\ formed\ are\ equal'.\\Hence,\\Considering\ parallel\ lines\ AC\ and\ EO,\\\angle CAO=\angle AOE=34\\Similarly,\\[/tex]
[tex]Considering\ parallel\ lines\ EO\ and\ BD,\\\angle EOB = \angle OBD= 72\\Now,\\As\ \angle x\ or \angle AOB=\angle AOE+ \angle EOB,\\\angle x= \angle AOB=34+72=106[/tex]
PLEASE HELP ASAPPPP!!! 20 POINTS!!
Answer:
105 for all of them
Step-by-step explanation:
1) take 180-75, because of opposite angles.
105
2)again, 105 because we know the opposite angle is 75
3)105
again, opposite angles.
Graph the line with the equation y=-x-4
y=-x-4
Here is the picture of the graph:
help pls. I have been stuck on this for 15 minutes now.
Answer:
Y=0.35x+18.99
Step-by-step explanation:
Y = total cost
X = number of letters
Answer:
y= 0.35x+18.99
m= 0.35
18.99= 0.35(0)+b
18.99= 0+b
18.99=b
2 of a dozen eggs are cracked. What percent of the carton is NOT cracked using the percent proportion
If 2 of 12 eggs are cracked, then 10 are not cracked.
SO
10/12=5/6=about 0.83
0.83 of total eggs not cracked is also equivalent to 83 percent as asked in the problem :)
Suppose that y varies directly with x. When x = -4, y=-14. Determine the value of y when
X=9
Answer:
if x=-4 & y=-14...then x=9 & Y= -1. which is minus 10
Step-by-step explanation:
-4 is 10 under -14. If X=9 then Y= -1.
Yoshiro has a new puppy. She decides to create an enclosure for her puppy in her backyard. The enclosure is in the shape of a hexagon (six-sided polygon) with one pair of opposite sides running the same distance along the length of two parallel flower beds. There are two boundaries at one end of the flower beds that are 10 ft. and 12 ft., respectively, and at the other end, the two boundaries are 15 ft. and 20 ft., respectively. If the perimeter of the enclosure is 137 ft., what is the length of each side that runs along the flower bed?
Answer:
jaansj
jssksks
wwkwkww
find the volume of a sphere and radius is 3. please answer in terms of pi
Answer:
12 pi
Step-by-step explanation:
volume of sphere = 4/3 pi r2
4/3 pi 3 x 3
12 pi unit square
Lucy, Mary and Nora's father leaves them an inheritance in the
ratio 5: 3:2. Mary gets £4500, How much was there in total?
Answer:
£15000
Step-by-step explanation:
Lucy, Mary and Nora's father leaves them an inheritance in the
ratio 5: 3:2. Mary gets £4500, How much was there in total?
Giving the ratio of inheritance 5:3:2
5+3+2 = 10
Mary's ratio = 3
Marys share = £4500
Total share x can be gotten as thus
3/10 × x = 4500
3x/10 = 4500
3x = 45000
x = 45000/3
x = 15000
Hence £15000 was there in total
This graph shows the distance vs. time relationship for the Lane 1 and Lane 2 turtles. Here are their equations:
Lane 1: d= 6+ 1t
Lane 2: d = 3t
Select all of the true statements.
(Select all that apply.)
1. The Lane 2 turtle is faster than the Lane 1 turtle.
2. At 3 seconds, the turtle in Lane 2 is 12 feet from the start.
3. At 12 seconds, the turtle in Lane 1 is 6 feet from the start.
4. The Lane 1 turtle has a head start.
Answer:
True statements are:
(i) The lane 2 turtle is faster than the lane 1 turtle.
(iv) The lane 1 turtle has a head start.
Step-by-step explanation:
Now we proceed to check the value of truth for each choice:
(i) The lane 2 turtle is faster than the lane 1 turtle.
Speed of the turtle is the slope of the linear function, the greater the slope, the faster the turtle. Hence, the lane 2 turtle is faster than the lane 1 turtle. (Answer: TRUE)
(ii) At 3 seconds, the turtle in Lane 2 is 12 feet from start.
Let the position of the turtle in Lane 2 be represented by [tex]d = 3\cdot t[/tex]. For [tex]t = 3\,s[/tex], then [tex]d = 3\cdot (3) = 9[/tex]. Hence, the turtle in Lane 2 is just 9 feet from the start. (Answer: FALSE)
(iii) At 12 seconds, the turtle in Lane 1 is 6 feet from the start.
Let the position of the turtle in Lane 1 be represented by [tex]d = 6 + t[/tex]. For [tex]t = 12\,s[/tex], then [tex]d = 6+12 = 18[/tex]. Hence, the turtle is 12 feet from the start. (Answer: FALSE)
(iv) The lane 1 turtle has a head start.
According to graph, Lane 1 turtle starts at a position of 6 feet, whereas Lane 2 turtle start at a position of 0 feet. Hence, Lane 1 turtle has a head start. (Answer: TRUE)
Please Help! Need to turn this in tonight!!
image attached!
Which of the following are terms in this expression? Select all that apply.
a^3+8+c^3
Answer:
a, 3, 8, c
Step-by-step explanation:
It costs $525 for seven adult tickets and twelve
youth tickets to the basketball game. If the
difference in price between an adult ticket and
a youth ticket is $18, find the cost of a youth
ticket.
Answer:
Youth ticket = $21
Adult ticket = $39
Step-by-step explanation:
We'll call adult tix x and child tix y. Based on the information given, we can make these two equations:
7x + 12y = 525
x - y = 18
Start by putting x in terms of y with that second equation
x = y + 18
Then substitute that into the first equation:
7(y+18) + 12y = 525
Then solve for y
7y + 126 + 12y = 525
19y = 399
y = 21
If we want the adult price as well, we know
x - 21 = 18
x = 39
Checking the math:
7(39) + 12(21) = 273 + 252 = $525
I need help with this substitution problem
Answer:
x=5 and y=5
Step-by-step explanation:
I hope this helps
Answer:
x=5 y=5
Step-by-step explanation:
hope this is what ur looking for
3/4 x 6/1
A. 9/4
B. 2 1/4
C. 4 1/2
D. 3 3/5
Answer:
Step-by-step explanation:
A is the answer
If the directions were given to translate a shape (x+7, y-3) describe how the
shape would move.
Answer: move 7 places to the right and 3 places down
Step-by-step explanation:
Suppose two acid solutions are mixed. One is 26% acid and the other is 34% acid. Which one of the following concentrations cannot possibly be the concentration of the mixture? a) 24% b) 30% c) 31% d) 33%
Answer:
A
Step-by-step explanation:
(20×2)20+2)20×2)+20(+41+2=
Answer:
123
Step-by-step explanation:
BODMAS
1.multiply 20 by 2
2.20 ×2
3. 40+22+40+20+43=123
Answer:
123 :)
hope this helped!
fill in the blank:543+529=?+530 i need to fill in the blank pls help
what is a perpendicular line?
Answer:
lines that intersect
Step-by-step explanation:
Answer:
when two lines meet and form a right angle
Step-by-step explanation:
if you take two segments and cross them to form a 90 degree angle, you'll have four 90 degree angles, known as a perpendicular line.
PLZ HELP DUE IN 3 MINUTES!!!!
Answer:
a1) 65
a2) 25
a3) 45
Step-by-step explanation:
all triangle equal to 180
Answer:
65
25
45
Step-by-step explanation:
1) green triangle 180 - 50 - 65 = 130 - 65 = 65
2) purple triangle 180 - 130 - 25 = 50 - 25 = 25
3) red triangle 180 - 45 - 90 = 90 - 45 = 45
The orginal price of a barbecue grill is $ 85.35. The grill is marked down 25%. What is the sale price of the grill?
Hi there!
cost=64.0125
1.Multiply percent with 0.01:
[tex]25[/tex]·[tex]0.01=0.25[/tex]
2.Multiply the cost and term:
[tex]85.35[/tex]·[tex]0.25= 21.3375[/tex]
3.Subtract first term with the decrease of cost:
[tex]85.35-21.3375= 64.0125[/tex]
Therefore, the sale price of the girl is now 64.0125$
Solve the following quadratic inequality. x^2-5x-26>10
x<-4 or x>9
hope this helps
have a good day