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Jane lives x floors above the ground floor of a high-rise building. It
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05 Dec 2023, 01:54
05 Dec 2023, 01:54
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Question Stats:
70% (01:50) correct
30% (01:59) wrong based on 10 sessions
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Jane lives x floors above the ground floor of a high-rise building. It takes her 30 seconds per floor to walk down and 2 seconds per floor to ride the elevator. If it takes Jane more amount of time to walk down to the ground floor as to wait for the elevator for 7 minutes and ride down, then what could be the value of x?
Indicate all possible values.
(A) 10
(B) 15
(C) 16
(D) 18
(E) 20
Indicate all possible values.
(A) 10
(B) 15
(C) 16
(D) 18
(E) 20
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Jane lives x floors above the ground floor of a high-rise building. It
[#permalink]
07 Dec 2023, 11:41
07 Dec 2023, 11:41
1
Since the key words "more... as to" (aka more than) are used, we can set up this inequality:
Time spent walking > Time spent in elevator plus the 7 min wait
\(30x > 2x+7(60)\)
\(28x > 420\)
\(x > 15\)
C, D, and E are all greater than 15. To check, we can plug C,D, and E as x back into the inequality:
Option C:
Time to walk = 30(16) = 480
Time to ride elevator plus 7 minutes = 2(16) + 420 = 452
480 > 452, so this works
Option D:
Time to walk = 30(18) = 540
Time to ride elevator plus 7 minutes = 2(18) + 420 = 456
540 > 456, so this works
Option E:
Time to walk = 30(20) = 600
Time to ride elevator plus 7 minutes = 2(20) + 420 = 460
600 > 460, so this works
Time spent walking > Time spent in elevator plus the 7 min wait
\(30x > 2x+7(60)\)
\(28x > 420\)
\(x > 15\)
C, D, and E are all greater than 15. To check, we can plug C,D, and E as x back into the inequality:
Option C:
Time to walk = 30(16) = 480
Time to ride elevator plus 7 minutes = 2(16) + 420 = 452
480 > 452, so this works
Option D:
Time to walk = 30(18) = 540
Time to ride elevator plus 7 minutes = 2(18) + 420 = 456
540 > 456, so this works
Option E:
Time to walk = 30(20) = 600
Time to ride elevator plus 7 minutes = 2(20) + 420 = 460
600 > 460, so this works
gmatclubot
Jane lives x floors above the ground floor of a high-rise building. It [#permalink]
07 Dec 2023, 11:41
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