GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
Liam is pulled over for speeding just as he is arriving at work. He
[#permalink]
26 Apr 2021, 07:25
26 Apr 2021, 07:25
Expert Reply
3
Bookmarks
00:00
Question Stats:
66% (02:54) correct
33% (03:02) wrong based on 9 sessions
Hide Show timer Statistics
Liam is pulled over for speeding just as he is arriving at work. He explains to the police officer that he could not afford to be late today, and has arrived at work only four minutes before he is to start. The officer explains that if Liam had driven 5mph slower for his whole commute, he would have arrived at work exactly on time. If Liam's commute is 30 miles long, how fast was he actually driving?(Assume that Liam drove at a constant speed for the duration of his commute.)
A. 50 mph
B. 45 mph
C. 48 mph
D. 52 mph
E. 60 mph
A. 50 mph
B. 45 mph
C. 48 mph
D. 52 mph
E. 60 mph
Liam is pulled over for speeding just as he is arriving at work. He
[#permalink]
27 Apr 2021, 00:04
27 Apr 2021, 00:04
1
Considering the actual driving speed as x and t to be actual time to cover that distance
30 = x* (t-4), where t is in minutes and x is m/min
Next equation will be
30 = S * t , where S is ideal driving speed to cover 30 miles.
Where S = (x - 5/60) m/min
Dividing both the equation
we get t = 48x
By putting this value back to 1st equation
we get 48x^2 - 4x - 30 =0
Solving would give 80/96 miles per minute
By multiplying by 60
We get 50m/h
Hence A should be the answer
30 = x* (t-4), where t is in minutes and x is m/min
Next equation will be
30 = S * t , where S is ideal driving speed to cover 30 miles.
Where S = (x - 5/60) m/min
Dividing both the equation
we get t = 48x
By putting this value back to 1st equation
we get 48x^2 - 4x - 30 =0
Solving would give 80/96 miles per minute
By multiplying by 60
We get 50m/h
Hence A should be the answer
gmatclubot
Liam is pulled over for speeding just as he is arriving at work. He [#permalink]
27 Apr 2021, 00:04
Moderators:
