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In a flight of 600 miles, an aircraft was slowed down due to..

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In a flight of 600 miles, an aircraft was slowed down due to..  [#permalink]

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New post Updated on: 30 Nov 2019, 03:01
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Question Stats:

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In a flight of 600 miles, an aircraft was slowed down due to bad weather. As a result, the average speed for the trip reduced by 200 miles/hr and the time of flight increased by 30 minutes. The duration of the flight is:

A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours
E. 1.5 hours

Originally posted by ab965 on 29 Nov 2019, 22:42.
Last edited by ab965 on 30 Nov 2019, 03:01, edited 4 times in total.
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Re: In a flight of 600 miles, an aircraft was slowed down due to..  [#permalink]

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New post 29 Nov 2019, 23:02
ab965 wrote:
In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is:

A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours
E. 1.5 hours


600= V*t
600=(V-200)(t+1/2)
V=600/t
V=[600/t+1/2]+200
at t=1
V=600
V=[600/(3/2)]+200
V=600
So t=1 hr
A:)
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Re: In a flight of 600 miles, an aircraft was slowed down due to..  [#permalink]

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New post 30 Nov 2019, 01:05
satya2029, your answer is correct, but trial and error can take time in some cases. There is an alternative approach/equation to arrive at answer directly.
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In a flight of 600 miles, an aircraft was slowed down due to..  [#permalink]

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New post Updated on: 30 Nov 2019, 14:16
This question is a bit tricky.

Originally posted by ab965 on 30 Nov 2019, 03:20.
Last edited by ab965 on 30 Nov 2019, 14:16, edited 1 time in total.
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Re: In a flight of 600 miles, an aircraft was slowed down due to..  [#permalink]

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New post 30 Nov 2019, 03:44
ab965 wrote:
In a flight of 600 miles, an aircraft was slowed down due to bad weather. As a result, the average speed for the trip reduced by 200 miles/hr and the time of flight increased by 30 minutes. The duration of the flight is:

A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours
E. 1.5 hours



whats the source of question??

Not clear whether trip speed delayed from somewhere in the way or it is already scheduled with less speed for entire trip.??

If later is the case then ! hr is answer
Because in that case 600 m/h is actual speed ,which after reduction becomes (600- 200)=400 m/h
Making avg time of 1 hr. increased by 0.5 hr ie 1.5 hrs( 600 m/400 m/h)
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Re: In a flight of 600 miles, an aircraft was slowed down due to..  [#permalink]

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New post 30 Nov 2019, 11:23
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ab965 wrote:
In a flight of 600 miles, an aircraft was slowed down due to bad weather. As a result, the average speed for the trip reduced by 200 miles/hr and the time of flight increased by 30 minutes. The duration of the flight is:

A. 1 hour
B. 2 hours
C. 3 hours
D. 4 hours
E. 1.5 hours
\(\frac{600}{s-200} - \frac{600}{s} = \frac{1}{2}\)

Or, \(\frac{600s - 600s +120000}{s(s-200)}= \frac{1}{2}\)

Or, \(240000 = s(s-200)\)

Or, \(s = 600\)

So, total duration of the original flight was 600/600 = 1 Hour.... Answer must be (A)
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Re: In a flight of 600 miles, an aircraft was slowed down due to..   [#permalink] 30 Nov 2019, 11:23
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