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# A spaceship that is traveling 3,600 kilometers per hour can make a cir

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Math Expert
Joined: 02 Sep 2009
Posts: 49258
A spaceship that is traveling 3,600 kilometers per hour can make a cir  [#permalink]

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07 Sep 2018, 01:06
00:00

Difficulty:

45% (medium)

Question Stats:

65% (01:23) correct 35% (01:26) wrong based on 34 sessions

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A spaceship that is traveling 3,600 kilometers per hour can make a circular orbit around a spherical planet in 4 minutes. Approximately how far is the spaceship from the center of the planet?

A. 12,000 kilometers
B. 1200 kilometers
C. 240 kilometers
D. 120 kilometers
E. 40 kilometers

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Joined: 11 Aug 2016
Posts: 190
Re: A spaceship that is traveling 3,600 kilometers per hour can make a cir  [#permalink]

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07 Sep 2018, 03:37
Bunuel wrote:
A spaceship that is traveling 3,600 kilometers per hour can make a circular orbit around a spherical planet in 4 minutes. Approximately how far is the spaceship from the center of the planet?

A. 12,000 kilometers
B. 1200 kilometers
C. 240 kilometers
D. 120 kilometers
E. 40 kilometers

let the spaceship be h kms above the centre of the planet.
To complete 1 orbit it will have to travel 2*\pi*r.

total distance travelled = speed *time
=$$3600*\frac{4}{60}$$
=$$2400 km$$

$$240=2*\pi*h$$
therefore, $$h= \frac{240}{(2*3.14)}$$
approximating 3.14 as 3 because answer choices are multiples of 10.
h=40 km

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Joined: 25 Nov 2015
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Location: India
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Re: A spaceship that is traveling 3,600 kilometers per hour can make a cir  [#permalink]

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09 Sep 2018, 02:07
Bunuel wrote:
A spaceship that is traveling 3,600 kilometers per hour can make a circular orbit around a spherical planet in 4 minutes. Approximately how far is the spaceship from the center of the planet?

A. 12,000 kilometers
B. 1200 kilometers
C. 240 kilometers
D. 120 kilometers
E. 40 kilometers

Speed= 3600 km/hr = 3600/60 = 60 km/min
In 4min, the spaceship covers a distance of 60 x 4 = 240 km
The circumference of the rotational path of the spaceship is 240 km
Distance of spaceship from the center of planet (Radius) = $$\frac{240}{{2π}}$$
π=3.14~3 (Since the question asks approximately)
Distance = $$\frac{240}{{2*3}}$$=$$\frac{240}{6}=40$$
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Re: A spaceship that is traveling 3,600 kilometers per hour can make a cir  [#permalink]

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09 Sep 2018, 11:12
Bunuel wrote:
A spaceship that is traveling 3,600 kilometers per hour can make a circular orbit around a spherical planet in 4 minutes. Approximately how far is the spaceship from the center of the planet?

A. 12,000 kilometers
B. 1200 kilometers
C. 240 kilometers
D. 120 kilometers
E. 40 kilometers

let the spaceship be h kms above the centre of the planet.
To complete 1 orbit it will have to travel 2*\pi*r.

total distance travelled = speed *time
=$$3600*\frac{4}{60}$$
=$$2400 km$$

$$240=2*\pi*h$$
therefore, $$h= \frac{240}{(2*3.14)}$$
approximating 3.14 as 3 because answer choices are multiples of 10.
h=40 km

Bit of typo or an error I feel , Kindly correct it 3600 * 4/60 = 240 Not 2400
Re: A spaceship that is traveling 3,600 kilometers per hour can make a cir &nbs [#permalink] 09 Sep 2018, 11:12
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