Math question..... Pete traveled?

Question

pete traveled 1,380 miles in two days. the first day. he traveled 1.5 times as far as he did the second day. How far did he drive on the first day?

Answer 1

828 miles.

1x + 1.5x = 1380
2.5x = 1380
x = 552 (the second day)
1.5x = 828 miles (the first day)

Answer 2

So, you have two variables in this equation, x and y. We will say:

x = day one distance travelled
y = day two distance travelled

so our initial equation is,

x + y = 1380

We know that the distance travelled the first day was 1.5 (or 150 percent) the distance travelled on day two. Therefore, we can say that x (day 2 distance), is equal to y * 1.5, which gives us 1.5y. So we have,

x = 1.5 y

Let's plug in the 1.5y into our initial equation stated at the top, which is x + y = 1380. We now know that x = 1.5 y, therefore we can restate the initial equation as,

1.5y + y = 1380

which can be restated as,

2.5y = 1380

Now we solve for y by dividing both sides by 2.5

2.5y / 2.5 = 1380 / 2.5
y = 552

Now we can solve for x (day one distance) by simply plugging in our y value into the initial equation,

x + y = 1380
x + 552 = 1380
x = 1380 - 552 = 828 miles travelled on first day

that's all there is to it! this is a pretty basic algebra problem, search "college algebra tutorial" on yahoo to get all the info you need.

Answer 3

let x = miles travelled on 2nd day
hence
2.5x = 1380
x = 552
1.5x = 552 + 276
= 828
thus
pete travelled 828 miles on the first day

Answer 4

Day 1: x miles
Day 2: y miles

1380 = x + y

x = 1.5y

1380 = (1.5y) + y
1380 = 2.5y
552 = y

x = 1.5(552)
x = 828

Day 1: 828 miles

Answer 5

x = distance traveled first day
x + (1.5 x) = 1380
x = 1380/2.5 = 552 miles the first day

Answer 6

X represent distant covered in one day
so the first day pete covered X distance and the seconnd day pete covered 1.5X distance (1.5 times X ..)
so answer:
X+1.5X=1380
solve for X

Answer 7

Day one + Day Two = 1380
Do=1.5Dt
1.5Dt + Dt = 1380
Dt = 1380/2.5
Dt = 552
Do = 1380 - 552
Do = 828 miles

Answer 8

d1 + d2 = 1380
d1 = 1.5 x d2      >>>      d2 = d1 ÷ 1.5

d1 + ( d1 ÷ 1.5 ) = 1380
( 1.5 x d1 ) + d1 = 1380 x 1.5
2.5 x d1 = 2070
d1 = 2070 ÷ 2.5
d1 = 828

Answer 9

1.380 miles