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Bunuel
Sam leaves Town X at 9 am and drives due north at 50 mph towards Town Y. An hour later, Julie leaves Town X and drives due south toward Town Z. At what time, are the two cars 90 miles apart?

(1) The distance from Town Y to Town Z is 210 miles.
(2) Sam average speed is 12% slower than Julie's.

Nice question, Bunuel!

Hello Brent,

I may sound silly but this is my doubt; Are we safe to assume that either Sam or Julie, may be even both, did not make any stops or vary their speeds once they departed from their respective places? I couldn't see the word "Constant Speed" anywhere and the word "Average Speed" added fuel to my confusion.

Cheers!
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Diwakar003


Hello Brent,

I may sound silly but this is my doubt; Are we safe to assume that either Sam or Julie, may be even both, did not make any stops or vary their speeds once they departed from their respective places? I couldn't see the word "Constant Speed" anywhere and the word "Average Speed" added fuel to my confusion.


To avoid ambiguity, it would probably be useful to add "constant."

Cheers,
Brent
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Bunuel
Sam leaves Town X at 9 am and drives due north at 50 mph towards Town Y. An hour later, Julie leaves Town X and drives due south toward Town Z. At what time, are the two cars 90 miles apart?

(1) The distance from Town Y to Town Z is 210 miles.
(2) Sam average speed is 12% slower than Julie's.

We are given that Sam leaves Town X at 9 a.m. and drives at a rate of 50 mph toward Town Y, and that Julie leaves Town X and drives toward Town Z. We must determine at what time the two cars are 90 miles apart.

We can use the following formula:

distance of Sam + distance of Julie = 90

Statement One Alone:

The distance from Town Y to Town Z is 210 miles.

Knowing the distance from Town Y to Town Z does not help us determine at what time the two cars are 90 miles apart. Statement one alone is not sufficient to answer the question.

Statement Two Alone:

Sam’s average speed is 12% slower than Julie's.

Since Sam’s speed is 12% slower than Julie’s, we can let Julie's speed = r and create the following equation:

0.88r = 50

r = 50/0.88

Also, since Sam left at 9 a.m. and Julie left an hour later, we can let Julie’s time = t and Sam’s time = t + 1. Thus:

distance of Sam + distance of Julie = 90

50(t + 1) + 50/0.88(t) = 90

Since we see that we have enough information to determine t, statement two alone is sufficient to answer the question.

Answer: B
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We should always assume the cities are 90+ miles apart in case like this? I used statement 1 to be sure the distance would reach 90 eventually.
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Bunuel
Sam leaves Town X at 9 am and drives due north at 50 mph towards Town Y. An hour later, Julie leaves Town X and drives due south toward Town Z. At what time, are the two cars 90 miles apart?

(1) The distance from Town Y to Town Z is 210 miles.
(2) Sam average speed is 12% slower than Julie's.

One doubt, why are we assuming both city Y and Z more than 90 Miles Away from X.
TIA
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