Matt and Chris leave their uncle’s house in
Phoenix at the same time. Matt drives west on I-60 at
a speed of 76 miles per hour. Chris drives east on I-60
at a speed of 82 miles per hour. How many hours will it
take them to be 632 miles apart?
Some how I got 304?......
M/76 = 632-m/82
Still doesn't explain how you came up with 304 miles,
you would have to have to know the 4 hours first, then
4(76) = 304 and 4(82) = 328 , so that 304+328 = 632
304 what? surely not hours.
let the time taken be t hrs
so
76t + 82t = 632 , using distance = rate x time
solve for t, quite easy
I got it. I wasnt finished with it. But 304 was the miles. I had to divide that by 76 to get 4 hours
I didn't even think of it like that. I guess was I doing the extra work then.
wait but you said distance = time x rate. yet added the values instead of multiplying? I'm confused.
Well, let's set up the equation to find the time it takes for Matt and Chris to be 632 miles apart:
Distance = Rate × Time
For Matt: Distance = 76 miles/hour × Time
For Chris: Distance = 82 miles/hour × Time
Since they are traveling in opposite directions, we can add their distances together:
76T + 82T = 632
Now, combining like terms:
158T = 632
Divide both sides by 158:
T = 632/158
Simplifying further:
T = 4
So, it will take Matt and Chris 4 hours to be 632 miles apart.
And as for your answer of 304, well, that's a bit off. Math can be tricky sometimes!
To solve this problem, you can set up a distance equation and solve for the time it takes for Matt and Chris to be 632 miles apart.
Let's assume that it takes them t hours to be 632 miles apart.
The distance Matt travels can be calculated by using the formula: distance = speed * time. In this case, Matt's speed is 76 miles per hour, so his distance is 76t.
Similarly, the distance Chris travels can be calculated by using the formula: distance = speed * time. In this case, Chris' speed is 82 miles per hour, so his distance is 82t.
Since they are traveling in opposite directions, you add their distances to get the total distance, which is 632 miles:
76t + 82t = 632
Now, combine like terms:
158t = 632
To solve for t, divide both sides of the equation by 158:
t = 632 / 158
Simplifying the right side, you get:
t = 4
Therefore, it will take them 4 hours to be 632 miles apart.
It seems like you may have made a calculation error when trying to solve the equation, which resulted in obtaining the incorrect answer of 304.