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?
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?
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
Yep...taking turns driving is the way I interpret it...each drives 12 hours
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.