Let's define variables:
s = original speed
s + 12 = faster speed
The time for the half of the route is:
60 / s
The time for the second half of the route is:
60 / (s + 12)
The equation for the time of the trip is:
60 / s + 60 / (s + 12) + 1/6 = 120 / s
Where,
1/6: held up for 10 minutes (in hours).
Rewriting the equation we have:
6s (60) + s (s + 12) = 60 * 6 (s + 12)
360s + s ^ 2 + 12s = 360s + 4320
s ^ 2 + 12s = 4320
s ^ 2 + 12s - 4320 = 0
We factor the equation:
(s + 72) (s-60) = 0
We take the positive root so that the problem makes physical sense.
s = 60 Km / h
Answer:
The original speed of the train before it was held up is:
s = 60 Km / h
The number of stickers John and Ken have in the end is 6 and 18 respectively.
<h3>How to write and solve equation?</h3>
let
- Ken stickers = x
- John stickers =3x
New stickers
x + x - 12 = 3x + 5x
2x - 12 = 8x
-12 = 8x - 6x
-12 = -2x
x = 12/2
x = 6
So,
Ken stickers = x
= 6 stickers
John stickers = 3x
= 3 × 6
= 12 stickers
Learn more about equation:
brainly.com/question/1214333
Answer:
ewwwww
Step-by-step explanation:
black people play basketball
Answer:
y = 3
Step-by-step explanation:
Equation of a line: y = mx + b
Substitute -1/7 for m, slope AND x and y for point (5,1).
1 = (-1/7)(5) + b
Simplify and Isolate b
1 = (-5/7) + b
b = 1 + 5/7
b = 12/7
Sub b=12/7 and m=-1/7 for equation of a line.
y = -1/7 x + 12/7
Sub x = -9 to find the missing y coordinate.
y = (-1/7)(-9) + 12/7
y = 21/7
y = 3
The point is (-9, 3).
