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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

Respuesta :

irspow
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:

A


Step-by-step explanation:

Let distance travelled on first day be [tex]f[/tex] and distance travelled on second day be [tex]s[/tex], so we can write:

[tex]f+s=1380[/tex] [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:

[tex]f=1.5s[/tex]

Substituting this into first equation and solving for [tex]s[/tex], we get:

[tex]1.5s+s=1380\\2.5s=1380\\s=\frac{1380}{2.5}=552[/tex]


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

[tex]FirstDay=1.5(552)=828[/tex] miles


Answer choice A is correct.