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

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.

Answer 2

A

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=(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.