Santi and Vlado drove together from NY to New Orleans. Both drove the same amount of time, but Santi drove 75% as quickly as Vlado. If the drive took a total of 24 hours and New Orleans is 1304 miles from NY, approximately how many miles did Santi drive?

A 326

B 560

C 744

D 978

I thought it was 978 but it isnt. This trick question' explianation behind the correct answer B doesn't make any sense to me...... Somebody help?

Hoold up I just realized something, at first I thought they are driving at the same time with differentcar, but now it just appears to be they just carpool and take turns driving the car. Is this it?

mrlevan3
Aug 28, 2018

#1**+2 **

So each drove 12 hrs

And Rate * Time = Distance

So...call Vlado's rate R and Santi's rate (.75R) and we have

Santi's Rate * Time Driving + Vlado's Rate * Time Driving = Total Distance

.75R (12) + R(12) = 1304 simplify

R(9) + R(12) = 1304

R (21) = 1304 divide both sids by 21

R ≈ 62.1 mph

So Santi drove ≈ .75 (62.1) (12) ≈ 559 miles ⇒ round to 560 miles

CPhill
Aug 28, 2018

#3

#4**+1 **

Here is another way:

1304/24 =54 1/3 miles - average speed of both men

[54 1/3 x 2] / 1.75 =~62 miles - average speed of Vlado

62.1 x 0.75 =~46.7 miles - average speed of Santi

12 hours x 62 =~744 - miles driven by Vlado.

12 hours x 46.7 =~560 - miles driven by Santi.

Guest Aug 28, 2018

edited by
Guest
Aug 28, 2018