See the screen shot can someone help me on this

During a road trip Tony , Tony drove one third the distance that Lana drove. Mark drives 15 more than Lana drove .The total dist

ale4655 [162]

Answer:

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles

Step-by-step explanation:

Given as :

The total distance cover by Lana , Tony , Mark = 484 miles

Let The distance drove by Lana = L miles

The distance drove by Tony = T

The distance cover by Mark = M

So , L + T + M = 484 miles

Now, The distance of Tony = $\frac{1}{3}$ of Lana distance

Or, T = $\frac{1}{3}$ × L

And The distance of Mark = 15 + The distance of Lana

Or, M = 15 + L

Now.

L + $\frac{1}{3}$ × L + 15 + L = 484

Or, 2 L + $\frac{L}{3}$ = 484 - 15

Or, 2 L + $\frac{L}{3}$ = 469

Or, $\frac{7 L}{3}$ = 469

Or, 7 L = 469 × 3

∴ L = $\frac{1407}{7}$

I.e L = 201

The distance drive by Lana = 201 miles

The distance drive by Mark = 15 + L =15 + 201 = 216 miles

The distance drive by Tony = $\frac{1}{3}$ × 201 = 67 miles

Hence The distance drive by each person is

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles Answer

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For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

Contact [7]

The expressions represent the total time of her trip in hours is $\rm \dfrac{80}{s} + \dfrac{50}{s+10}$ .

Given that,

For the first 80 miles of her road trip, Lina travels 10 miles/hour slower than she did for the remaining 50 miles of her trip.

It represents Lina's speed during the first part of her trip.

We have to determine,

Which expressions represent the total time of her trip in hours?

According to the question,

Let the speed traveled during the first part of the trip be "s".

The formula for calculating the distance is expressed as:

$\rm Distance = Speed \times Time$

For the first part of the journey:

Distance = 80 miles

Time = $\rm t_1$

And Speed = s

Substitute all the values in the formula,

$\rm Distance = Speed \times Time\\\\80 = s \times t_1\\\\ t_1= \dfrac{80}{s}$

For the second part of the trip;

Distance traveled = 50 miles

Speed = s + 10 (10miles/hour faster than the first part of the trip)

time = $\rm t_2$

Substitute all the values in the formula,

$\rm Distance = Speed \times Time\\\\50 = (s+10) \times t_2\\\\ t_2 = \dfrac{50}{s+10}$

Therefore,

Adding both the time to represent the total time of her trip in hours,

$\rm = t_1 +t_2 \\\\ = \dfrac{80}{s} + \dfrac{50}{s+10}$

Hence, The required expressions represent the total time of her trip in hours is $\rm \dfrac{80}{s} + \dfrac{50}{s+10}$ .

For more details refer to the link given below.

brainly.com/question/21043759

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Answer:

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Step-by-step explanation:

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