Driving on the highway

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talaangoshtari: Master | Next Rank: 500 Posts; Posts: 154; Joined: Wed May 21, 2014 4:29 amFollowed by: 1 member; Thanked: 8 times

by talaangoshtari » Tue Sep 15, 2015 3:29 am

I was driving along the highway at 60 miles per hour. A patrolman clocked me on his radar detector and, after deliberating for a while, started chasing me at 62 mph. When he started chasing me, I was 5 mikes ahead of him. How long before he caught up with me?

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Source: Beat The GMAT — Problem Solving | Tue Sep 15, 2015 3:29 am

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by [email protected] » Tue Sep 15, 2015 8:28 am

Hi talaangoshtari,

What is the source of this question? I ask because it's not written in proper GMAT 'style', doesn't include the 5 answer choices and actually asks a vague question (Is 'how long' a reference to distance or time?). To properly train for the Official GMAT, you should stick to studying with well-written GMAT materials.

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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talaangoshtari: Master | Next Rank: 500 Posts; Posts: 154; Joined: Wed May 21, 2014 4:29 amFollowed by: 1 member; Thanked: 8 times

by talaangoshtari » Tue Sep 15, 2015 9:09 am

Hi Rich,
the source of this problem is Manhattan GRE. I think the question is about the time...

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DavidG@VeritasPrep: Legendary Member; Posts: 2663; Joined: Wed Jan 14, 2015 8:25 amFollowed by: 128 members; Location: Boston, MA; Thanked: 1153 times; GMAT Score:770

by DavidG@VeritasPrep » Tue Sep 15, 2015 9:19 am

Why would this police officer wait until the suspect was 5 miles away to begin chasing? (And how would the police officer then find the suspect?)

Let's take the numbers at face value. If the police officer is traveling at 62 mph, and you're traveling at 60mph, then the officer is making up 2 miles each hour. If the police officer needs to make up 5 miles in total, and he makes up 2 miles each hour, it will take him 2.5 hours to catch up.

R * T = D
2 * T = 5
T = 5/2 = 2.5

(Which would be the longest high-speed chase in history.)

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DavidG@VeritasPrep: Legendary Member; Posts: 2663; Joined: Wed Jan 14, 2015 8:25 amFollowed by: 128 members; Location: Boston, MA; Thanked: 1153 times; GMAT Score:770

by DavidG@VeritasPrep » Tue Sep 15, 2015 9:22 am

Here's a catch-up problem from the Official Guide, if you're interested:

Car A is 20 miles behind Car B, which is traveling in the same direction along the same route as Car A. Car A is traveling at a constant speed of 58 miles per hour and Car B is traveling at a constant speed of 50 miles per hour. How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B?

(A) 1.5

(B) 2.0

(C) 2.5

(D) 3.0

(E) 3.5

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