Bunuel
A car drives along a straight road from Smithville to Laredo, going through Ferristown along the way. What is the total distance by car from Smithville to Laredo?
(1) The distance from Smithville to Ferristown is 3/5 of the distance from Smithville to Laredo.
(2) The distance from Ferristown to Laredo is 12 miles.
Gentle note to all experts and tutors: Please refrain from replying to this question until the Official Answer (OA) is revealed. Let students attempt to solve it first. You are all welcome to contribute posts after the OA is posted. Thank you all for your cooperation!Let the places be denoted by their first letters as S , L and F.
Given that F is between S and L.
Statement 1:
(1) The distance from Smithville to Ferristown is 3/5 of the distance from Smithville to Laredo.
let the distance from S to L be d.
distance from S to F is a.
so, the distance from F to L is (d-a).
a = (3/5)*d
(a/d) = (3/5)
Hence, insufficient Statement 2:
(2) The distance from Ferristown to Laredo is 12 miles.
The distance from F to L is 12 miles.
Hence, insufficient
Combining Statements 1 and 2, we get
(d-a) = 2x = 12 miles.
x = 6 miles.
d = 5x = 5*6 = 30 miles.
Option C