A car traveling at a certain constant speed takes 5 seconds longer to : Problem Solving (PS)

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A car traveling at a certain constant speed takes 5 seconds longer to

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A car traveling at a certain constant speed takes 5 seconds longer to [#permalink]

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Updated on: 05 Oct 2014, 00:48

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35% (medium)

Question Stats:

77% (02:34) correct

23% (02:37) wrong

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A car traveling at a certain constant speed takes 5 seconds longer to travel 1 km than it would take to travel 1 km at 80 km/hour. At what speed, in km/hr, is the car traveling?

A. 70
B. 72
C. 74
D. 75
E. 78

Spoiler: OA

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Originally posted by UmangMathur on 05 Oct 2014, 00:10.
Last edited by Bunuel on 05 Oct 2014, 00:48, edited 1 time in total.

Renamed the topic, edited the question and added the OA.

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Re: Car takes 5 second longer [#permalink]

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05 Oct 2014, 00:49

Thoughtosphere wrote:

Time to cover 1 kilometer at 80 kilometers per hour is 1/80 hours = 3,600/80 seconds = 45 seconds;

Time to cover 1 kilometer at regular speed is 45 + 5 = 50 seconds = 50/3,600 hours = 1/72 hours;

So, we get that to cover 1 kilometer 1/72 hours is needed --> regular speed 72 kilometers per hour (rate is a reciprocal of time or rate=distance/time).

Answer: B.
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Manager

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Re: A car traveling at a certain constant speed takes 5 seconds longer to [#permalink]

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05 Oct 2014, 00:16

Hi Please let me know, whether my approach is correct and whether we can have a faster method to get the right answer

It takes the car 5 sec. longer to travel 1 KM than it would take, had it traveled at 80Kp/Hr
This would mean that it would take the car 200 sec extra had it traveled 40KM
that is equivalent to 10/3 minutes extra to 30 min. it would have taken at 80Km/Hr

Thus it would take 30 + 10/3 minutes to cover 40 Km or 100/3 min = 100/(3*60) hrs

Thus the current speed would be 40*3*60 / 100 = 72 Km/Hr

choice B
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Re: A car traveling at a certain constant speed takes 5 seconds longer to [#permalink]

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05 Oct 2014, 00:50

Bunuel wrote:

Thoughtosphere wrote:

This is a copy of GMAT Prep question discussed here: a-car-traveling-at-a-certain-constant-speed-takes-2-seconds-126658.html
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Re: A car traveling at a certain constant speed takes 5 seconds longer to [#permalink]

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05 Oct 2014, 00:56

Thoughtosphere wrote:

time taken to travel 1km at 80km/h = (1/80)*3600 =45 seconds

therefore, first car takes 50 sec to travel 1 km. therefore its speed = (1/50)*3600 =72km/h

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Re: A car traveling at a certain constant speed takes 5 seconds longer to [#permalink]

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28 May 2016, 17:46

UmangMathur wrote:

Car travelling at 80kmph covers 1 km in (1/80) hrs = \(\frac{60*60}{80}\) = 45 sec.

The other car takes 5 sec more. So the time taken by that car is 50 sec. Distance is 1 Km. So its speed is (1 Km / 50 sec) or

\(\frac{60*60}{50}\) = 72 kmph

B is the answer.

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A car traveling at a certain constant speed takes 5 seconds longer to [#permalink]

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21 Jul 2016, 18:13

1k/80kh=1/80h
5 seconds=1/720h
1/80h+1/720h=1/72h
1k/(1/72h)=72kh

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Re: A car traveling at a certain constant speed takes 5 seconds longer to [#permalink]

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05 Aug 2018, 04:00

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