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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
A subway train made eleven stops on its route. If an average (arithmet
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04 Jan 2023, 10:14
04 Jan 2023, 10:14
Expert Reply
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Question Stats:
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A subway train made eleven stops on its route. If an average (arithmetic mean) of 30 passengers boarded at each of the first nine stops and at each stop, beginning with the second, 5 fewer passengers boarded than at the previous stop, how many passengers boarded the train at its first stop?
A. 60
B. 50
C. 30
D. 20
E. 10
A. 60
B. 50
C. 30
D. 20
E. 10
Re: A subway train made eleven stops on its route. If an average (arithmet
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05 Jan 2023, 02:22
05 Jan 2023, 02:22
Expert Reply
Average of passengers of first nine stations is 30
Total of passengers/ no. Of stations= average.
Total of passengers= 30*9
{A} + {A-5} + {A-10} + {A-15} + {A-20} +..... + {A-40} = 270
9A-180=270
( 180 = Sn = n/2{2a+(n-1)*d} )
S8 = 8/2{2*5+(8-1)*5} =
S8 = 180. Arithmetic Progression sum )
9A=450
A=50
So 50 passengers board the train.
Answer is B
Total of passengers/ no. Of stations= average.
Total of passengers= 30*9
{A} + {A-5} + {A-10} + {A-15} + {A-20} +..... + {A-40} = 270
9A-180=270
( 180 = Sn = n/2{2a+(n-1)*d} )
S8 = 8/2{2*5+(8-1)*5} =
S8 = 180. Arithmetic Progression sum )
9A=450
A=50
So 50 passengers board the train.
Answer is B
gmatclubot
Re: A subway train made eleven stops on its route. If an average (arithmet [#permalink]
05 Jan 2023, 02:22
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