How long did it take Betty to drive nonstop on a trip from her home to Denver, Colorado?

[BTGModeratorVI]

How long did it take Betty to drive nonstop on a trip from her home to Denver, Colorado?

(1) If Betty's average speed for the trip had been 3/2 times as fast, the trip would have taken 2 hours.
(2) Betty's average speed for the trip was 50 miles per hour.

Answer: A
Source: Official Guide

[swerve]

How long did it take Betty to drive nonstop on a trip from her home to Denver, Colorado?

(1) If Betty's average speed for the trip had been 3/2 times as fast, the trip would have taken 2 hours.
(2) Betty's average speed for the trip was 50 miles per hour.

Answer: A
Source: Official Guide

The distance is similar in this question

Equation 1, \(x\) be speed, \(t\) is the time and \(d\) is the distance

\(x \cdot t=d\)

Equation 2

\(1.5x \cdot 2=d \Rightarrow 3x=d\)

Substitute in 1

\(x\cdot t=3x \Longrightarrow t=3\)

Is this approach correct?

Regards!

[Brent@GMATPrepNow]

How long did it take Betty to drive nonstop on a trip from her home to Denver, Colorado?

(1) If Betty's average speed for the trip had been 3/2 times as fast, the trip would have taken 2 hours.
(2) Betty's average speed for the trip was 50 miles per hour.

Answer: A
Source: Official Guide

Target question: What was Betty's travel time?

This is a great candidate for rephrasing the target question

Let D = The distance driven
Let R = Betty's average speed

Since Time = Distance/Rate, we can rephrase the target question. . .

REPHRASED target question: What is the value of D/R?

Statement 1: If Betty's avg speed for the trip had been 1.5 times as fast, the trip would have taken 2 hours.
The distance is still the same (D), but the rate is 1.5R
So, statement 1 tells us that D/1.5R = 2
Is this enough information to find the value of D/R?
Sure, just take the equation D/1.5R = 2 and multiply both sides by 1.5 to get D/R = 3
Since we're able to answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT

Statement 2: Betty's avg speed for the trip was 50 miles per hour.
This tells us that R=50
However, we cannot find the value of D/R, since we don't know the value of D (distance)
So, statement 2 is NOT SUFFICIENT

Answer: A