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A train traveled for three hours. In the first hour the train traveled

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Bunuel
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A train traveled for three hours. In the first hour the train traveled [#permalink] New post   09 Sep 2019, 23:35
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A train traveled for three hours. In the first hour the train traveled 86 miles, which was 25% farther than it traveled in the second hour. In the third hour the train traveled at a speed of 120 miles per hour for 20 minutes. What is the total distance that the train traveled?

A. 190.6.
B. 194.8.
C. 198.2.
D. 204.5.
E. 212.8.
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fauji
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Re: A train traveled for three hours. In the first hour the train traveled [#permalink] New post   09 Sep 2019, 23:45
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Hi Bunuel, please correct me. my understanding could be wrong.
In this ques - we are comparing first hour with first hour?
"In the first hour the train traveled 86 miles, which was 25% farther than it traveled in the first hour."
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Re: A train traveled for three hours. In the first hour the train traveled [#permalink] New post   10 Sep 2019, 03:06
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Bunuel wrote:
A train traveled for three hours. In the first hour the train traveled 86 miles, which was 25% farther than it traveled in the second hour. In the third hour the train traveled at a speed of 120 miles per hour for 20 minutes. What is the total distance that the train traveled?

A. 190.6.
B. 194.8.
C. 198.2.
D. 204.5.
E. 212.8.


distance in 1st leg = 86 miles
distance in 2nd leg = 86/1.25 ; 68.8 miles
distance in 3rd leg = 120*20/60 ; 40 miles
total ; 86+68.8+40 ; 194.8 miles
IMO B
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Re: A train traveled for three hours. In the first hour the train traveled [#permalink] New post   21 Sep 2019, 12:43
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The question says that the train traveled for 120mph for 20 minutes in the third hour. What about the rest of the 40 minutes of the third hour? Shouldn't the answer be > 194.8?
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Re: A train traveled for three hours. In the first hour the train traveled [#permalink] New post   09 Sep 2019, 23:51
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fauji wrote:
Hi Bunuel, please correct me. my understanding could be wrong.
In this ques - we are comparing first hour with first hour?
"In the first hour the train traveled 86 miles, which was 25% farther than it traveled in the first hour."


Typo edited. Thank you for noticing.
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Re: A train traveled for three hours. In the first hour the train traveled [#permalink] New post   10 Sep 2019, 00:20
Distance in first hour= 86 miles
Distance in second hour it travels 25% less than distance travelled in first hour= (3*86)/4= 64.5
Distance in third hour= 120/3= 40
86+64.5+40= 190.5

Bunuel please tell me if I am wrong
Because if I am correct than no answer seems a match

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Re: A train traveled for three hours. In the first hour the train traveled [#permalink] New post   10 Sep 2019, 00:24
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itoyj wrote:
Distance in first hour= 86 miles
Distance in second hour it travels 25% less than distance travelled in first hour= (3*86)/4= 64.5Distance in third hour= 120/3= 40
86+64.5+40= 190.5

Bunuel please tell me if I am wrong
Because if I am correct than no answer seems a match

Posted from my mobile device


The highlighted portion is not right. Try again.
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Re: A train traveled for three hours. In the first hour the train traveled [#permalink] New post   10 Sep 2019, 00:26
Bunuel wrote:
itoyj wrote:
Distance in first hour= 86 miles
Distance in second hour it travels 25% less than distance travelled in first hour= (3*86)/4= 64.5Distance in third hour= 120/3= 40
86+64.5+40= 190.5

Bunuel please tell me if I am wrong
Because if I am correct than no answer seems a match

Posted from my mobile device


The highlighted portion is not right. Try again.


Thanks for clarification
That was the confusion, thanks for clarifying
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Re: A train traveled for three hours. In the first hour the train traveled [#permalink] New post   10 Sep 2019, 01:43
1st hr - 4/5 th of 86
2nd-86
3rd-third of 120=40
Total:194.8

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Re: A train traveled for three hours. In the first hour the train traveled [#permalink] New post   10 Sep 2019, 03:54
Distance travelled in first hour = 86
Distance travelled in second hour = (125/100)*X= 86
= 68.8
Distance travelled in the third hour = (120/60)*20 = 40
Total Distance = 86+68.8+40 = 194.8(option B)

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Re: A train traveled for three hours. In the first hour the train traveled [#permalink] New post   11 Sep 2019, 10:12
Distance traveled in first hour: 86 miles
Distance traveled in second hour: 4/5(86) =68.8 miles
Distance traveled in third hour: 120/3 = 40 miles
Total = 86+68.8+40 = 194.8
Option B it is.
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Re: A train traveled for three hours. In the first hour the train traveled [#permalink] New post   17 Sep 2019, 09:51
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Bunuel wrote:
A train traveled for three hours. In the first hour the train traveled 86 miles, which was 25% farther than it traveled in the second hour. In the third hour the train traveled at a speed of 120 miles per hour for 20 minutes. What is the total distance that the train traveled?

A. 190.6.
B. 194.8.
C. 198.2.
D. 204.5.
E. 212.8.


In the second hour, the train traveled 86/1.25 = 68.8 miles.

In the third hour, the train traveled 120 x 1/3 = 40 miles.

The total distance traveled was 86 + 68.8 + 40 = 194.8 miles.

Answer: B
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Re: A train traveled for three hours. In the first hour the train traveled [#permalink]
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