Mathematics, 16.04.2020 20:13 santiago172005

You and your college roommate travel to your respective hometowns in the same amount of time. You drive 230 miles and your friend drives 210 miles. Your friend's average speed is 6 miles per hour lower than your average speed. What is your average speed?

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Answer from: ladybugperez05

69 miles per hour is your average speed and your roommate average speed is 63 miles per hour.

Step-by-step explanation:

The given is,

Same amount of time

You drive 230 miles

Your roommate drive 210 miles

Average speed of your roommate is 6 miles per hour lower than your average speed.

Step:1

Let, x - Your average speed ( miles/hour)

From given,

Average speed of your roommate = x - 6

Step:2

Time taken by you = $\frac{Total distance}{Average speed}$

= $\frac{230}{x}$

Time taken by your roommate = $\frac{Total distance}{Average speed}$

= $\frac{210}{x-6}$

Step:2

From given,

Time taken by you = Time taken by yours roommate.....(1)

$\frac{230}{x}$ = $\frac{210}{x-6}$

(x-6) (230) = (x) (210)

( 230x - 1380 ) = 210x

230x - 210x = 1380

20x = 1380

x = $\frac{1380}{20}$

x = 69

From the x value,

Your average speed, x = 69 miles per hour

Average speed of your roommate = 69 - 6 = 63 miles per hour

Step:4

Check for answer,

Time taken by you = $\frac{230}{x}$ = $\frac{230}{69}$ = 3.333 hours

Time taken by your roommate = $\frac{210}{x-6}$ = $\frac{210}{63}$ = 3.33 hours

From equation (1)

3.333 = 3.333

Result:

69 miles per hour is your average speed, if You and your college roommate travel to your respective hometowns in the same amount of time. You drive 230 miles and your friend drives 210 miles. Your friend's average speed is 6 miles per hour lower than your average speed.

Answer from: Quest

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation:

Answer from: Quest

the answer is 5/14.

hope this .

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