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 many miles did he drive on the first day
a.828
b.552
c.920
d.460

Answer 1

Answer:

A

Step-by-step explanation:

Let distance travelled on first day be $f$ and distance travelled on second day be $s$, so we can write:

$f+s=1380$ [since in 2 days he travelled a total of 1380 miles]

Also, since first day he travelled 1.5 times second day, we can write:

$f=1.5s$

Substituting this into first equation and solving for $s$, we get:

$1.5s+s=1380\\2.5s=1380\\s=\frac{1380}{2.5}=552$

We want to know how many miles he drove on first day, which is 1.5 times this, so we have:

$FirstDay=1.5(552)=828$ miles

Answer choice A is correct.

Answer 2

Let s be the distance traveled the second day.

1.5s+s=1380

2.5s=1380

s=552

So on the first day he traveled 1380-552=828 miles.