jake's height

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rahul.s: Master | Next Rank: 500 Posts; Posts: 324; Joined: Thu Dec 24, 2009 6:29 amFollowed by: 1 member; Thanked: 17 times

by rahul.s » Fri Feb 12, 2010 6:13 am

jake was 4 1/2 feet tall on this 12th birthday, when he began to have a growth spurt. between his 12th and 15th birthdays, he grew at a constant rate. if jake was 20% taller on his 15th birthday than on his 13th birthday, how many inches per year did jake grow during his growth spurt? (12 inches = 1 foot)

OA: 6 inches per year

source: mgmat

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Source: Beat The GMAT — Problem Solving | Fri Feb 12, 2010 6:13 am

ajith: Legendary Member; Posts: 1275; Joined: Thu Sep 21, 2006 11:13 pmFollowed by: 2 members; Location: Arabian Sea; Thanked: 125 times

by ajith » Fri Feb 12, 2010 10:57 am

rahul.s wrote:jake was 4 1/2 feet tall on this 12th birthday, when he began to have a growth spurt. between his 12th and 15th birthdays, he grew at a constant rate. if jake was 20% taller on his 15th birthday than on his 13th birthday, how many inches per year did jake grow during his growth spurt? (12 inches = 1 foot)

Jake was 54 inches tall and say between his 12th and 15th birthday he grew x inches per year. He would be 54 + x on 13th birthday 54+2x of 14th and 54+3x on 15th birthday

(54+x)*1.2 = 54+3x

1.8x = 54*.2
x = 30*.2 = 6 inches

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