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Hugo lies on top of a building, throwing pennies straight down to the [#permalink]
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03 Jul 2015, 02:59
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83% (01:29) correct 17% (01:37) wrong based on 98 sessions
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Re: Hugo lies on top of a building, throwing pennies straight down to the [#permalink]
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03 Jul 2015, 03:46
Bunuel wrote: Hugo lies on top of a building, throwing pennies straight down to the street below. The formula for the height, H, that a penny falls is \(H= Vt+ 5t^2\), where V/is the original velocity o f the penny (how fast Hugo throws it when it leaves his hand) and t is equal to the time it takes to hit the ground. The building is 60 meters high, and Hugo throws the penny down at an initial speed of 20 meters per second. How long does it take for the penny to hit the ground?
A. 2/5 seconds B. 1 second C. 2 seconds D. 5 seconds E. 6 seconds
Kudos for a correct solution. Solution  Given that, H=60m, V=20m/s and t=? Substitute above values in the given equation > 60=20t+5t^2 > t^22t+6t12=0 > (t2)(t+6) =0 t = 2, 6. Time can not be in ve value so ANS C.
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Hugo lies on top of a building, throwing pennies straight down to the [#permalink]
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03 Jul 2015, 10:05
Plug each answer into the equation, \(60 = 20t + 5t^{2}\), and two is the only answer. This can be done all mentally, as well.
Answer C.
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Re: Hugo lies on top of a building, throwing pennies straight down to the [#permalink]
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03 Jul 2015, 11:21
60 = 20t + 5t^2 Now dont solve quadrtic ... better just plug options . Option C , t= 2 is correct
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Hugo lies on top of a building, throwing pennies straight down to the [#permalink]
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03 Jul 2015, 20:45
Bunuel wrote: Hugo lies on top of a building, throwing pennies straight down to the street below. The formula for the height, H, that a penny falls is \(H= Vt+ 5t^2\), where V/is the original velocity o f the penny (how fast Hugo throws it when it leaves his hand) and t is equal to the time it takes to hit the ground. The building is 60 meters high, and Hugo throws the penny down at an initial speed of 20 meters per second. How long does it take for the penny to hit the ground?
A. 2/5 seconds B. 1 second C. 2 seconds D. 5 seconds E. 6 seconds
Kudos for a correct solution. Given : \(H= Vt+ 5t^2 = t*(V+5t)\)
H = 60 m V = 20 m/sChecking Options A. 2/5 seconds \(H= t*(V+5t) = (2/5)(20+5*2/5) = 44/5\) which is not equal to 60 so INCORRECT OptionB. 1 second \(H= t*(V+5t) = (1)(20+5*1) = 25\) which is not equal to 60 so INCORRECT OptionC. 2 seconds \(H= t*(V+5t) = (2)(20+5*2) = 60\) Since it matches the Given height H = 60 so CORRECT OptionD. 5 seconds E. 6 seconds Answer: Option C
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Hugo lies on top of a building, throwing pennies straight down to the [#permalink]
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03 Jul 2015, 20:55
Bunuel wrote: Hugo lies on top of a building, throwing pennies straight down to the street below. The formula for the height, H, that a penny falls is \(H= Vt+ 5t^2\), where V/is the original velocity o f the penny (how fast Hugo throws it when it leaves his hand) and t is equal to the time it takes to hit the ground. The building is 60 meters high, and Hugo throws the penny down at an initial speed of 20 meters per second. How long does it take for the penny to hit the ground?
A. 2/5 seconds B. 1 second C. 2 seconds D. 5 seconds E. 6 seconds
Kudos for a correct solution. the equation that is formed by putting values.. 60=20t+5t^2..here t has to be even integer so as to make 5t^2 a multiple of 10.. only C and E left.. Also t has to be <3 as otherwise RHS> 60 so E out ans 2, 2 and 6 can be substituted too find the correct answer ans C
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Re: Hugo lies on top of a building, throwing pennies straight down to the [#permalink]
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04 Jul 2015, 09:15
Option C correct Placing H=60 and V=20
we get t=2,6 2 is correct



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Re: Hugo lies on top of a building, throwing pennies straight down to the [#permalink]
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06 Jul 2015, 04:56
Bunuel wrote: Hugo lies on top of a building, throwing pennies straight down to the street below. The formula for the height, H, that a penny falls is \(H= Vt+ 5t^2\), where V/is the original velocity o f the penny (how fast Hugo throws it when it leaves his hand) and t is equal to the time it takes to hit the ground. The building is 60 meters high, and Hugo throws the penny down at an initial speed of 20 meters per second. How long does it take for the penny to hit the ground?
A. 2/5 seconds B. 1 second C. 2 seconds D. 5 seconds E. 6 seconds
Kudos for a correct solution. MANHATTAN GMAT OFFICIAL SOLUTION:H = Wt + 5t^2 60 = 20t+5t^2 5(t + 6)(t  2) = 0 t = 6 or t = 2. Since a time must be positive, discard the negative value for t. Answer: C.
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