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A boy walking along a road at 3 kilometers per hour is overtaken by a
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25 Apr 2022, 06:21
25 Apr 2022, 06:21
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Question Stats:
50% (02:12) correct
50% (00:40) wrong based on 4 sessions
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A boy walking along a road at 3 kilometers per hour is overtaken by a truck traveling at 40 kilometers per hour. If the truck breaks down 1 kilometer beyond where it passes the boy, how many minutes after the breakdown does the boy reach the truck?
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18.5
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: A boy walking along a road at 3 kilometers per hour is overtaken by a
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25 Apr 2022, 06:37
25 Apr 2022, 06:37
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Carcass wrote:
A boy walking along a road at 3 kilometers per hour is overtaken by a truck traveling at 40 kilometers per hour. If the truck breaks down 1 kilometer beyond where it passes the boy, how many minutes after the breakdown does the boy reach the truck?
Show: ::
18.5
After passing the boy, the truck travels 1 kilometer at a speed of 40 kmh and then breaks down.
Time for truck to travel 1 km = distance/speed = 1/40 hours
During those first 1/40 hours (pre-breakdown), the distance the boy walks = (rate)(time) = (3)(1/40) = 3/40 km
During those same 1/40 hours (pre-breakdown), the distance the truck traveled = 1 km [given information]
The additional distance the boy must walk to reach the truck = 1 - 3/40 = 37/40 km
So, we want to determine the time (in minutes) it takes the boy (traveling at 3 kms per hour) to travel a distance of 37/40 km
First let's convert 3 kilometers per hour to 3/60 kilometers per minute, which equals 1/20 kilometers per minute.
Time = distance/speed = (37/40)/(1/20) = (37/40)(20/1) = 37/2 = 18.5 minutes
Answer: 18.5
gmatclubot
Re: A boy walking along a road at 3 kilometers per hour is overtaken by a [#permalink]
25 Apr 2022, 06:37
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