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A plane averages 60 miles per hour slower than a second plane. If the

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Bunuel
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A plane averages 60 miles per hour slower than a second plane. If the [#permalink] New post   11 Apr 2017, 23:00
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A plane averages 60 miles per hour slower than a second plane. If the slower plane completes a particular trip in three hours, how long will the faster plane take to complete the same trip?

(1) The trip was 1,590 miles.
(2) The slower plane travels at 530 miles per hour.
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D
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KarishmaB
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Re: A plane averages 60 miles per hour slower than a second plane. If the [#permalink] New post   12 Apr 2017, 05:35
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Bunuel wrote:
A plane averages 60 miles per hour slower than a second plane. If the slower plane completes a particular trip in three hours, how long will the faster plane take to complete the same trip?

(1) The trip was 1,590 miles.
(2) The slower plane travels at 530 miles per hour.


Speed1 = Speed2 - 60
Time1 = 3 hrs

Speed1*Time1 = Speed2*Time2 = Distance

We need to find Time2.

Statement 1: Distance = 1590
From Distance and Time1, we will find Speed1.
From Speed1, we will find Speed2.
From Speed2 and Distance, we will find Time2.
Sufficient

Statement 2: Speed1 = 530 mph
From Speed1, we can find Speed2.
We have Speed1, Speed2 and Time1 so we can find Time2.
Sufficient

Answer (D)
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Re: A plane averages 60 miles per hour slower than a second plane. If the [#permalink] New post   12 Apr 2017, 03:51
Speed of faster plane = x, Time = t, Distance = d
Speed of slower plane = x - 60, Timer = 3, Distance = d

t = ?

St1: d = 1590 --> x - 60 = 530 --> t = 1590/590
Sufficient

St2: x - 60 = 530 --> d = 530 * 3 = 1590 --> t = 1590/590
Sufficient

Answer: D
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Re: A plane averages 60 miles per hour slower than a second plane. If the [#permalink] New post   25 Jul 2017, 07:03
I started with RTD chart.
say slower plane travels at X miles per hour for 3 hours. total distance 3x.
faster plane travels at x+60 miles per hour.
to find T for second plane, we need to find x or D.

1. we have D, therefore we can find x. knowing D and X, we can solve the problem. sufficient.
2. we are told that x=530; we can find x+60 and we can find D. we can solve the problem. sufficient.

the answer is D.
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Re: A plane averages 60 miles per hour slower than a second plane. If the [#permalink]
25 Jul 2017, 07:03
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Bunuel
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