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Jane covered a distance of 340 miles between city A and city B taking

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Bunuel
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Jane covered a distance of 340 miles between city A and city B taking [#permalink] New post   14 Mar 2016, 07:24
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78% (02:07) correct 22% (02:41) wrong based on 199 sessions
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Jane covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?

A. 1 hour 45 minutes
B. 2 hours
C. 2 hours 30 minutes
D. 3 hours
E. None of these
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D
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Mathivanan Palraj
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Re: Jane covered a distance of 340 miles between city A and city B taking [#permalink] New post   14 Mar 2016, 21:29
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Bunuel wrote:
Jane covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?

A. 1 hour 45 minutes
B. 2 hours
C. 2 hours 30 minutes
D. 3 hours
E. None of these

time taken at 60:time taken at 80::(greater speed-average speed):(average speed-lower speed)
average speed is 340/5=68
That gives the answer 3:2
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Re: Jane covered a distance of 340 miles between city A and city B taking [#permalink] New post   25 Jun 2017, 11:07
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60x + 80(5-x) = 340
60x + 400 - 80x = 340
20x = 60
x = 3. Ans - D.
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Re: Jane covered a distance of 340 miles between city A and city B taking [#permalink] New post   14 Mar 2016, 21:19
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let h=hours traveled at 60 mph
60h+80(5-h)=340 miles
h=3 hours
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Jane covered a distance of 340 miles between city A and city B taking [#permalink] New post   26 Jun 2017, 06:06
Jane covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?

Total Distance: 340 Miles
Total Time Taken: 5 Hrs

Lets say Jane travels 60 Miles for x hours

\(60 * x + 80 (5 - x) = 340\)

\(60x + 450 - 80x = 340\)

\(-20x = -60\)

\(x = 3\)

She traveled 3 Hrs for 60 Miles/Hour

Hence, Answer is D
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Re: Jane covered a distance of 340 miles between city A and city B taking [#permalink] New post   15 May 2019, 03:10
Bunuel wrote:
Jane covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?

A. 1 hour 45 minutes
B. 2 hours
C. 2 hours 30 minutes
D. 3 hours
E. None of these



What does it mean "balance at 80 miles per hour speed" ? It obviously means the rest of the 5 hours that wasn't 60pmh but why is it expressed like "If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed"
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Re: Jane covered a distance of 340 miles between city A and city B taking [#permalink] New post   12 Nov 2020, 08:50
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Bunuel wrote:
Jane covered a distance of 340 miles between city A and city B taking a total of 5 hours. If part of the distance was covered at 60 miles per hour speed and the balance at 80 miles per hour speed, how many hours did she travel at 60 miles per hour?

A. 1 hour 45 minutes
B. 2 hours
C. 2 hours 30 minutes
D. 3 hours
E. None of these


Solution:

We can let t = the number of hours Jane traveled at 60 mph and create the equation:

60t + 80(5 - t) = 340

60t + 400 - 80t = 340

-20t = -60

t = 3

Answer: D
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Re: Jane covered a distance of 340 miles between city A and city B taking [#permalink]
12 Nov 2020, 08:50
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