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At 3:00 pm, a car has driven 30 miles east. It will continue to drive

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At 3:00 pm, a car has driven 30 miles east. It will continue to drive [#permalink]

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New post 02 Feb 2017, 03:07
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Difficulty:

  45% (medium)

Question Stats:

74% (02:22) correct 26% (03:03) wrong based on 100 sessions

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At 3:00 pm, a car has driven 30 miles east. It will continue to drive east at 0.8 minutes per mile and then turn around and drive at 0.8 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?

A. 10
B. 11
C. 12
D. 13
E. 14


Source: GmatFree
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Re: At 3:00 pm, a car has driven 30 miles east. It will continue to drive [#permalink]

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New post 02 Feb 2017, 10:20
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sillyboy wrote:
At 3:00 pm, a car has driven 30 miles east. It will continue to drive east at 0.8 minutes per mile and then turn around and drive at 0.8 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?

A. 10
B. 11
C. 12
D. 13
E. 14


Source: GmatFree



Please follow below fig.

let x be the distance covered then in 8 minutes @ 0.8 minutes/mile distance covered = 8/0.8 = 10
Ans A
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At 3:00 pm, a car has driven 30 miles east. It will continue to drive [#permalink]

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New post 02 Feb 2017, 11:29
At 3:00 pm, a car has driven 30 miles east. It will continue to drive east at 0.8 minutes per mile and then turn around and drive at 0.8 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?

A. 10
B. 11
C. 12
D. 13
E. 14

speed=60/.8=75mph
total time allowed=30/75+2/3=16/15 hours
let x=miles remaining before turn
2*(30+x)=75*(16/15)
x=10 miles
A
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Re: At 3:00 pm, a car has driven 30 miles east. It will continue to drive [#permalink]

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New post 14 May 2017, 11:35
0.8 mins to cover 1 mile
Hence, 40 mins will cover 40/0.8 miles = 50 miles

In 40 mins, the car has to go back 30 miles for sure to reach the starting point. Hence, he has 50-30 = 20 miles which he can go and come back. Therefore, 20/2 = 10 miles is the distance he can go further before turning around so that the total distance he covers is 50 miles.

Ans A
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Re: At 3:00 pm, a car has driven 30 miles east. It will continue to drive [#permalink]

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New post 18 May 2017, 20:04
sillyboy wrote:
At 3:00 pm, a car has driven 30 miles east. It will continue to drive east at 0.8 minutes per mile and then turn around and drive at 0.8 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?

A. 10
B. 11
C. 12
D. 13
E. 14


We are given that a car has driven 30 miles east and that it can drive for another 40 minutes or a total of 40/0.8 = 50 miles. Thus, the total number of miles driven is 30 + 50 = 80 miles. So, the car will have to turn around when it reaches 80/2 = 40 miles, and thus the car can drive for another 40 - 30 = 10 miles.

Answer: A
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At 3:00 pm, a car has driven 30 miles east. It will continue to drive [#permalink]

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New post 21 May 2017, 11:11
rohit8865 wrote:
sillyboy wrote:
At 3:00 pm, a car has driven 30 miles east. It will continue to drive east at 0.8 minutes per mile and then turn around and drive at 0.8 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?

A. 10
B. 11
C. 12
D. 13
E. 14


Source: GmatFree



Please follow below fig.

let x be the distance covered then in 8 minutes @ 0.8 minutes/mile distance covered = 8/0.8 = 10
Ans A



Can you please explain how you got 24minutes?
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Re: At 3:00 pm, a car has driven 30 miles east. It will continue to drive [#permalink]

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New post 21 May 2017, 12:44
theperfectgentleman wrote:
rohit8865 wrote:
sillyboy wrote:
At 3:00 pm, a car has driven 30 miles east. It will continue to drive east at 0.8 minutes per mile and then turn around and drive at 0.8 minutes per mile back to its original starting point. How far can it drive before turning around in order to arrive back to its original starting point by 3:40 pm?

A. 10
B. 11
C. 12
D. 13
E. 14


Source: GmatFree



Please follow below fig.

let x be the distance covered then in 8 minutes @ 0.8 minutes/mile distance covered = 8/0.8 = 10
Ans A



Can you please explain how you got 24minutes?



sure ........

initialy 30 miles covered with rate 0.8 minutes/mile = 30*0.8 = 24 miles* minutes/miles = 24 minutes spend :)

hope it helps!!!!!
Re: At 3:00 pm, a car has driven 30 miles east. It will continue to drive   [#permalink] 21 May 2017, 12:44
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At 3:00 pm, a car has driven 30 miles east. It will continue to drive

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