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3 years ago

6

Points A and B are 200 mi apart. A cyclist started from point A and a motorcyclist started from point B, moving towards each oth

er.The speed of the cyclist was 17 mph, the speed of motorcyclist was 83 mph. At what distance from point A will they meet?

2 answers:

Ugo [173]3 years ago

5 0

Answer:

D from A = 34 miles

Step-by-step explanation:

We know the total distance is 200 miles (this would be when they meet)

The rate for cyclist A is 17

The rate for cyclist B is 83

We know the time is equal

Distance = rate * time

Distance for A = 17t

Distance for B = 83 t

The total distance = distance for A + distance for B

200 = 17t + 83t

Combine like terms

200 = 100t

Divide each side by t

200/100 = 100t/100

They will meet at t =2 hours

I know you say we need the distance

Distance for A

D = 17*t

We now know t

D = 17*2

D = 34 miles

IrinaVladis [17]3 years ago

5 0

Answer:

Step-by-step explanation:

cyclist going 17 mph n motorcyclist going 83 mph opposite way

so their net closing speed=17+83=100mph

A n B 200 mi apart

so they will meet in 200/100=2hrs

at dat time, cyclist will be 2x17=34mi from pt A

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Answer:

a. See explanation for table

b. The 7th hour

Step-by-step explanation:

Given

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$Base\ Snow = 75in$

$Rate = 1in$ hourly

Mt. Winterpark

$Base\ Snow = 68in$

$Rate = 2in$ hourly

First, we need to illustrate the amount of snow as an equation in both cases.

$Amount = Base\ Snow + Rate * Time$

Let x be number of hours. and y be the amount of snow

So:

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$y= 68 + 2x$

Next, we make a table to show the data.

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Mt. Winterpark: $y = 68 + 2(0) = 68$

When $x = 1$

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Mt. Winterpark: $y = 68 + 2(1) = 70$

When $x = 2$

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Mt. Winterpark: $y = 68 + 2(2) = 72$

When $x = 3$

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Mt. Winterpark: $y = 68 + 2(3) = 74$

When $x = 4$

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Mt. Winterpark: $y = 68 + 2(4) = 76$

When $x = 5$

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Mt. Winterpark: $y = 68 + 2(5) = 78$

When $x = 6$

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Mt. Winterpark: $y = 68 + 2(6) = 80$

When $x = 7$

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Mt. Winterpark: $y = 68 + 2(7) = 82$

When $x = 8$

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Mt. Winterpark: $y = 68 + 2(9) = 86$

When $x = 10$

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Mt. Winterpark: $y = 68 + 2(10) = 88$

Hence, the table is:

x ---- Ski Resort ---- Mt. Winterpark

0 --------75 ----------- 68

1 --------76 ----------- 70

2 --------77 ----------- 72

3 --------78 ----------- 74

4 --------79 ----------- 76

5 --------80 ----------- 78

6 --------81 ----------- 80

7 --------82 ----------- 82

8 --------83 ----------- 84

9 --------84 ----------- 86

10 -------85 ----------- 88

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