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Al and Ben are drivers for SD Trucking Company. One snowy day, Ben lef

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Joined: 06 Nov 2018
Posts: 6
Location: Ukraine
GPA: 3.63
Re: Al and Ben are drivers for SD Trucking Company. One snowy day, Ben lef  [#permalink]

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New post 16 Feb 2020, 07:49
1
GMATPrepNow wrote:
AbdurRakib wrote:
Al and Ben are drivers for SD Trucking Company. One snowy day, Ben left SD at 8:00 a.m. heading east and Al left SD at 11:00 a.m. heading west. At a particular time later that day, the dispatcher retrieved data from SD’s vehicle tracking system. The data showed that, up to that time, Al had averaged 40 miles per hour and Ben had averaged 20 miles per hour. It also showed that Al and Ben had driven a combined total of 240 miles. At what time did the dispatcher retrieve data from the vehicle tracking system?

A. 1:00 p.m.
B. 2:00 p.m.
C. 3:00 p.m.
D. 5:00 p.m.
E. 6:00 p.m.


Let's start with a "word equation"

(Ben's travel distance) + (Al's travel distance) = 240 miles

Let t = Al's travel time (in hours)
So, t + 3= Ben's travel time (since Ben spent 3 more hours driving)

Distance = (rate)(time)

So, our word equation becomes...
(20)(t + 3) + (40)(t) = 240 miles
Expand: 20t + 60 + 40t = 240
Simplify: 60t + 60 = 240
Subtract 60 from both sides: 60t = 180
Solve: t = 3
So, AL traveled for 3 hours (which means BEN traveled for 6 hours)

So, the dispatcher retrieved data at 2pm (since 8am + 6 hours = 2pm)

Answer: B

Cheers,
Brent


Why equation 40(t-3)+20t=240 is not working, can you explain, please?
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Re: Al and Ben are drivers for SD Trucking Company. One snowy day, Ben lef  [#permalink]

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New post 16 Feb 2020, 08:03
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tsimo1000 wrote:

Hi Brent, can you please explain why are you assuming both distances equal each other by writing (20)(t + 3) = (40)(t) ? the question does not say both traveled distances equal each other.

thanks,


Good catch!
I've edited my response accordingly.

Cheers and KUDOS for you!
Brent
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Re: Al and Ben are drivers for SD Trucking Company. One snowy day, Ben lef   [#permalink] 16 Feb 2020, 08:03

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Al and Ben are drivers for SD Trucking Company. One snowy day, Ben lef

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