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VARVARA [1.3K]
4 years ago
7

Ted is a long distance driver. It took him 30 min longer to drive 275km on the Trans-Canada highway west of Swift Current, Saska

tchewan, than it took him to drive 300km east of Swift Current. He averaged 10km/h less while travelling west of Swift Current due to more severe snow conditions. What was Ted's average speed for each part of the trip?
Mathematics
1 answer:
IRISSAK [1]4 years ago
7 0

Speed traveling west = x - 10 km /hr


275 / ( x-10) - 300 / x = 1/2



275 *2x - 300 (x-10)*2 = ( x-10) *x



550x - 600x +6000 = x^2 -10x



x^2 +40x - 6000 = 0


( x -60) ( x+100) = 0


x = 60


ANSWER East = 60 km/ hr West = 50 km /hr


CHECK


300 /60 = 5 hours

275 /50 = 5.5 hours

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Please help me and I will thank you
uysha [10]

The value a = 4 will always yield a correct answer.

We know this by solving for a. If we do this, we will get the number needed.

a(x + 3) < 5x + 15 - x -----> simplify like terms

a(x + 3) < 4x + 15 -----> divide by x + 3

a < 4 + 3/(x + 3)

Since a is less than 4 plus a number, we know that a will always be less than 4. So we can use 4 as the number for all real solution.

6 0
3 years ago
A hiker at the top of a mountain spots his car back in the parking lot at the
mart [117]
<h2>Answer:</h2><h2>The angle of depression from the hiker to his car, Θ = 56.39 degrees</h2>

Step-by-step explanation:

A hiker at the top of a mountain spots his car back in the parking lot at the

bottom of the trail.  If the trail is 632 meters long and the mountain is 420

meters tall,

opposite side = 632 m

adjacent side = 420 m

Angle of depression, Θ = arctan (\frac{opposite}{adjacent} )

= arctan (\frac{632}{420} )

Θ = 56.39 degrees

3 0
4 years ago
You and your friend are painting the walls in your apartment. You estimate that there is 1000 square feet of space to be painted
leva [86]
After 45 minutes you will have painted 4*45=180 square feet.

so the total number of painted area, y, is:

y=180+x*(3+4) after the 45 minutes

where x is the number of minutes AFTER THE 45 minutes:

if y is 1000 then

1000=180+x*7
820=x*7
x=117.14

so 117 minutes, or one hour and 57 minutes.
5 0
3 years ago
Help its math ik u like math
choli [55]

Answer:

141.625

Step-by-step explanation:

\:  \: 141.625\\  32 \sqrt{4532}  \\  - 32 \\  -  -  -  -  -  \\ \:  \:  \:  \:  133 \\  - 128 \\  -  -  -  -  -  -  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 52 \\  \:  \:  \:  \:  \:  \:  - 32 \\  -  -  -  -  -  -  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  200 \\ \:  \:  \:  \:  \:    - 192 \\  -  -  -  -  -  -  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  80 \\  \:  \:  \:  \:  \:  \:  \:  \:  - 64 \\  -  -  -  -  -  -  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  160 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: - 160 \\  -  -  -  -  -  -  -  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  0

7 0
3 years ago
Read 2 more answers
7 more than the product of 4 and a number is 12
Anastasy [175]
4*x+7=12
4*x=5
x=5/4
The number is 5/4
6 0
3 years ago
Read 2 more answers
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