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A plane travels certain distance d in time t hours. If the ratio of th

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A plane travels certain distance d in time t hours. If the ratio of th  [#permalink]

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New post 30 Dec 2019, 06:05
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Q. A plane travels certain distance d in time t hours. If the ratio of the speed of the plane if it had taken half an hour less to cover d to the speed of the plane if it had taken half an hour more to cover d is 5:3, what is the value of t(in hours)?

A. 4
B. 1
C. 2
D. 3
E. 6
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Re: A plane travels certain distance d in time t hours. If the ratio of th  [#permalink]

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New post 30 Dec 2019, 06:33
D/(t-0.5) divided by d/(t+0.5) = 5/ 3

Solves to t= 2

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A plane travels certain distance d in time t hours. If the ratio of th  [#permalink]

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New post 30 Dec 2019, 10:59
speed = d/t

if [d/(t+0.5)] : [d/(t-0.5)] = 3:5,
5d/(t+0.5) = 3d/(t-0.5)
5dt - 2.5d = 3dt + 1.5d
2dt = 4d
t = 2
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Re: A plane travels certain distance d in time t hours. If the ratio of th  [#permalink]

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New post 04 Jan 2020, 01:27
uchihaitachi wrote:
Q. A plane travels certain distance d in time t hours. If the ratio of the speed of the plane if it had taken half an hour less to cover d to the speed of the plane if it had taken half an hour more to cover d is 5:3, what is the value of t(in hours)?

A. 4
B. 1
C. 2
D. 3
E. 6


Ratio of speeds (with given condition) = 5:3
Ratio of time= 3:5

3:5 = t-0.5 : t+0.5

Plugging in values from the options gives us answer (C) 2 hours
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Re: A plane travels certain distance d in time t hours. If the ratio of th   [#permalink] 04 Jan 2020, 01:27
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