### Brain Teasers

# Trip to Boston

Glenn and Steve took turns driving on a trip to Boston and back. Glenn drove the first 40 miles and Steve drove the rest of the way to Boston. On the way back, Glenn started to drive, and then Steve drove the last 50 miles.

Which of the two drove more, and how much more did he drive?

Which of the two drove more, and how much more did he drive?

### Answer

Steve drove 20 miles more than Glenn, no matter how far the trip to Boston was. It's probably easiest to just try this with numbers:Assume the trip to Boston is 60 miles:

Glenn: 40 miles there and 10 miles back for 50 miles total.

Steve: 20 miles there and 50 miles back for 70 miles total.

Steve drives 20 more miles. If you change the number of miles, you'll still get a 20-mile difference.

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## Comments

Using G for the distance that Glenn drove, S for Steve's distance, and D for the total between "there" and Boston:

Glenn drove 40 miles, plus all but 50 miles of the way back. G=40+(D-50). This is the same as G=D-10.

Steve drove all but 40 miles, plus 50 miles on the way back. S=(D-40)+50. Simplifying again gives S=D+10.

As the answer showed, clearly S is 20 more than G.

Nice puzzle.

Glenn drove 40 miles, plus all but 50 miles of the way back. G=40+(D-50). This is the same as G=D-10.

Steve drove all but 40 miles, plus 50 miles on the way back. S=(D-40)+50. Simplifying again gives S=D+10.

As the answer showed, clearly S is 20 more than G.

Nice puzzle.

This is like...Dude!

How could you figure that out? Dude, I know...I know, I sound stupid, but...DUDE!

How could you figure that out? Dude, I know...I know, I sound stupid, but...DUDE!

i thought this was fun but it was easy at the same time. good job!

Good one! This wasn't too hard, to where you'd get frustrated with it, but it also wasn't like so encredibly easy, either. Nice Job!

Nice, compact, well done!

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