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# A Car traveling at a constant speed took 1 minute 48 seconds to travel

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Re: A Car traveling at a constant speed took 1 minute 48 seconds to travel [#permalink]
alexa wrote:
A Car traveling at a constant speed took 1 minute 48 seconds to travel the distance between a certain road sign and the beginning of a roadwork area.
If the distance between the road sign and the beginning of the road work area was 2,400 meters, then the car was traveling at what speed, in kilometers per hour?
(1kilometer = 1,000 meters)

OA: 80

Kindly post all 5 options for this problem

Thanks
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Re: A Car traveling at a constant speed took 1 minute 48 seconds to travel [#permalink]
alexa wrote:
A Car traveling at a constant speed took 1 minute 48 seconds to travel the distance between a certain road sign and the beginning of a roadwork area.
If the distance between the road sign and the beginning of the road work area was 2,400 meters, then the car was traveling at what speed, in kilometers per hour?
(1kilometer = 1,000 meters)

OA: 80

Hello alexa,

It is always better to give all answer options with questions otherwise what is the point of OA...Here are few useful posts for navigation on GMATCLUB

all-you-need-for-quant-140445.html#p1130136
best-gmat-math-prep-books-reviews-recommendations-77291.html
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Re: A Car traveling at a constant speed took 1 minute 48 seconds to travel [#permalink]
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munozjl wrote:
Subject: A Car traveling at a constant speed took 1 minute 48 seconds to travel

PareshGmat wrote:
alexa wrote:
A Car traveling at a constant speed took 1 minute 48 seconds to travel the distance between a certain road sign and the beginning of a roadwork area.
If the distance between the road sign and the beginning of the road work area was 2,400 meters, then the car was traveling at what speed, in kilometers per hour?
(1kilometer = 1,000 meters)

OA: 80

Distance = 2400 Meters = $$\frac{2400}{1000}$$ Kms = 2.4 Kilometers

Time = 1 Minute 48 Seconds = 60+48 = 108 seconds = $$\frac{108}{60}$$ Minutes = $$\frac{108}{60*60}$$ Hours

Speed $$= \frac{2.4}{\frac{108}{60*60}} = 0.8 * 10 * 10 = 80$$

Hi,

Can you please explain the step by step procedures for converting the fraction to multiplication and ultimately arriving at 80?

Thank you!

-Jose Luis Munoz

1 Hour = 60 Minutes = 60*60 Seconds = 3600 seconds

We require to convert 108 seconds into hours

$$= \frac{108}{3600} Hours$$

$$Speed = \frac{distance}{time} = 2.4 * \frac{3600}{108} = 80$$
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Re: A Car traveling at a constant speed took 1 minute 48 seconds to travel [#permalink]
I arrived to the correct answer (80), but it took me quite long.

I have trouble converting units.

I did 1hr = 60min, and 60 min = 60 sec per min. So, 60x60 = 3,600 seconds in 1 hour.

So 108 seconds / 3,600 to convert to hours (this is the messy part, as then I divided 108/3,600 to get 0.031 hours).

Finally did 2.4 / 0.031 as 240 / 3 to get 80.

Any tips so that I can convert units and make the process easier and less prone to mistakes?

Thanks!
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Re: A Car traveling at a constant speed took 1 minute 48 seconds to travel [#permalink]
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alexa wrote:
A Car traveling at a constant speed took 1 minute 48 seconds to travel the distance between a certain road sign and the beginning of a roadwork area.
If the distance between the road sign and the beginning of the road work area was 2,400 meters, then the car was traveling at what speed, in kilometers per hour?
(1kilometer = 1,000 meters)

OA: 80

Distance= 2.4 Kms
Time= 1 + 48/60= 1.8/60 hrs

Speed= 2.4 * 60/1.8= 80 km/h
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Re: A Car traveling at a constant speed took 1 minute 48 seconds to travel [#permalink]
Where are the options for this question.
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Re: A Car traveling at a constant speed took 1 minute 48 seconds to travel [#permalink]
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Whenever, we need to convert a speed in km/hr to m/s, you multiply it by a factor of $$\frac{5}{18}$$
We arrive to $$\frac{5}{18}$$ as follows :

1 km is 1000 meters
1 hr is 60 minute, and 1 minute is 60 seconds.
1 hr is 3600 seconds

So 1 km/hr essentially converts to $$\frac{1000}{3600}$$ or $$\frac{5}{18}$$m/s
Therefore, In order to convert the speed from m/s to km/hr, you must multiply it by a factor of $$\frac{18}{5}$$

Coming back to the question in hand
The car travels 2400 meters in 1 minute 48 seconds(108 seconds)
Speed(in m/s) = $$\frac{Distance}{Time} = \frac{2400}{108} = \frac{200}{9}$$

In order to convert the speed in the format that it has been asked in, we multiply it by a factor of $$\frac{18}{5}$$

So, the converted speed(in km/hour as asked in the question) is $$\frac{200}{9}*\frac{18}{5}$$ = 80 km/hr.

Hi Bunuel,
Can you please add options to this question to make it more GMAT-like!
Thanks
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A Car traveling at a constant speed took 1 minute 48 seconds to travel [#permalink]
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alexa wrote:
A Car traveling at a constant speed took 1 minute 48 seconds to travel the distance between a certain road sign and the beginning of a roadwork area.
If the distance between the road sign and the beginning of the road work area was 2,400 meters, then the car was traveling at what speed, in kilometers per hour?
(1kilometer = 1,000 meters)

A. 50
B. 60
C. 80
D. 90
E. 100

If pressed for time, we can estimate:
1min 48s ≈ 2 min
2400/1000 = 2.4 km
1 hr = 60 min --> 60/2 = 30 * 2.4 km = 60+12 = 72 km/hr
Actual km/hr is a bit higher since we rounded up, choose C.
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Re: A Car traveling at a constant speed took 1 minute 48 seconds to travel [#permalink]
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multiply with 18/5 to convert m/s to km/hr

1.48 seconds = 60+48 = 108 seconds

(2400/108)* 18/5 = 80

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Re: A Car traveling at a constant speed took 1 minute 48 seconds to travel [#permalink]
Bunuel I did something similar. Is this the correct way?

energetics wrote:
alexa wrote:
A Car traveling at a constant speed took 1 minute 48 seconds to travel the distance between a certain road sign and the beginning of a roadwork area.
If the distance between the road sign and the beginning of the road work area was 2,400 meters, then the car was traveling at what speed, in kilometers per hour?
(1kilometer = 1,000 meters)

A. 50
B. 60
C. 80
D. 90
E. 100

If pressed for time, we can estimate:
1min 48s ≈ 2 min
2400/1000 = 2.4 km
1 hr = 60 min --> 60/2 = 30 * 2.4 km = 60+12 = 72 km/hr
Actual km/hr is a bit higher since we rounded up, choose C.
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Re: A Car traveling at a constant speed took 1 minute 48 seconds to travel [#permalink]