Mark can paint twice as fast as Joe. If Mark starts to paint

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BTGmoderatorLU: Moderator; Posts: 2544; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Tue May 15, 2018 3:14 pm

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Mark can paint twice as fast as Joe. If Mark starts to paint at one end of a mile-long wall and Joe starts to paint at the other end of the wall, how far away from Mark's end of the wall will they meet?

A. 3/4 mile
B. 2/3 mile
C. 1/2 mile
D. 1/3 mile
E. 1/4 mile

The OA is B.

I need help to solve this PS question. Please, can anyone assist me? Thanks in advance.

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Source: Beat The GMAT — Problem Solving | Tue May 15, 2018 3:14 pm

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Tue May 15, 2018 3:43 pm

BTGmoderatorLU wrote:Mark can paint twice as fast as Joe. If Mark starts to paint at one end of a mile-long wall and Joe starts to paint at the other end of the wall, how far away from Mark's end of the wall will they meet?

A. 3/4 mile
B. 2/3 mile
C. 1/2 mile
D. 1/3 mile
E. 1/4 mile

Mark can paint twice as fast as Joe.

So, for every 1 foot of wall that Joe paints, Mark can paint 2 feet of wall.
In other words, for every 3 feet of wall that the two man paint TOGETHER, Joe moves 1 foot and Mark moves 2 feet.
Generally speaking, for every x feet of wall that the two man paint TOGETHER, Joe moves 1/3 of x and Mark moves 2/3 of x

So, if the two man can paint 1 mile of fence TOGETHER, then Joe moves 1/3 of a mile, and Mark moves 2/3 of a mile.

Answer: B

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Thu May 31, 2018 3:25 pm

BTGmoderatorLU wrote:Mark can paint twice as fast as Joe. If Mark starts to paint at one end of a mile-long wall and Joe starts to paint at the other end of the wall, how far away from Mark's end of the wall will they meet?

A. 3/4 mile
B. 2/3 mile
C. 1/2 mile
D. 1/3 mile
E. 1/4 mile

Since Mark is twice as fast as Joe, he must have painted â…” mile of the 1-mile long wall and Joe must have painted â…“ mile when they meet. So their meeting point is â…” mile from Mark's end.

Answer: B

Jeffrey Miller
Head of GMAT Instruction
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

hi

by Jeff@TargetTestPrep » Thu May 31, 2018 3:25 pm

BTGmoderatorLU wrote:Mark can paint twice as fast as Joe. If Mark starts to paint at one end of a mile-long wall and Joe starts to paint at the other end of the wall, how far away from Mark's end of the wall will they meet?

A. 3/4 mile
B. 2/3 mile
C. 1/2 mile
D. 1/3 mile
E. 1/4 mile

Since Mark is twice as fast as Joe, he must have painted 2/3 mile of the 1-mile long wall and Joe must have painted 1/3 mile when they meet. So their meeting point is 2/3 mile from Mark's end.

Answer: B

Answer: B

Jeffrey Miller
Head of GMAT Instruction
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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