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Liam is pulled over for speeding just as he is arriving at work.He

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Director
Director
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G
Joined: 07 Dec 2014
Posts: 812

Kudos [?]: 247 [0], given: 12

Re: Liam is pulled over for speeding just as he is arriving at work.He [#permalink]

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New post 02 Aug 2017, 14:35
Phoenix9 wrote:
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


let t= L's actual time
30/t=30/(t+1/15)+5
t=3/5 hr
30/(3/5)=50 mph
A

Kudos [?]: 247 [0], given: 12

Manager
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Joined: 07 Jun 2017
Posts: 111

Kudos [?]: 3 [0], given: 454

Re: Liam is pulled over for speeding just as he is arriving at work.He [#permalink]

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New post 03 Aug 2017, 03:06
Baten80 wrote:
Let required speed=s
30/s-30/(s-5)=1/5 (4 minutes= 4/60=1/5 hour)
s^2-5s+2250=0
s=50 ans.


Dear,
I am trying to understand your approach
but 4 mins is not 1/5 hour
Can you explain on this? Thank you

Kudos [?]: 3 [0], given: 454

Re: Liam is pulled over for speeding just as he is arriving at work.He   [#permalink] 03 Aug 2017, 03:06

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