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# A ferry boat shuttles tourists to an island every hour starting at 10

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Math Expert
Joined: 02 Sep 2009
Posts: 64090
A ferry boat shuttles tourists to an island every hour starting at 10  [#permalink]

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29 Mar 2019, 00:45
00:00

Difficulty:

15% (low)

Question Stats:

94% (01:25) correct 6% (02:46) wrong based on 16 sessions

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A ferry boat shuttles tourists to an island every hour starting at 10 AM until its last trip, which starts at 3 PM. One day the boat captain notes that on the 10 AM trip there were 100 tourists on the ferry boat, and that on each successive trip, the number of tourists was 1 fewer than on the previous trip. How many tourists did the ferry take to the island that day?

(A) 585
(B) 594
(C) 672
(D) 679
(E) 694

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Re: A ferry boat shuttles tourists to an island every hour starting at 10  [#permalink]

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29 Mar 2019, 01:11
Bunuel wrote:
A ferry boat shuttles tourists to an island every hour starting at 10 AM until its last trip, which starts at 3 PM. One day the boat captain notes that on the 10 AM trip there were 100 tourists on the ferry boat, and that on each successive trip, the number of tourists was 1 fewer than on the previous trip. How many tourists did the ferry take to the island that day?

(A) 585
(B) 594
(C) 672
(D) 679
(E) 694

As given every hour starting from 10 AM

Trip 1 : 10 to 11 ----- 100 tourists

Trip 2 : 11 to 12 ------ 99 tourists

Trip 3 : 12 to 1 PM ------ 98 tourists

Trip 4 : 1 to 2 ------- 97 tourists

Trip 5 : 2 to 3 ----- 96 tourists

Trip 6 : 3 to end ---- 95 tourists

100 + 99 + 98 + 97 + 96 + 95 = 585 (A)

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Re: A ferry boat shuttles tourists to an island every hour starting at 10  [#permalink]

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29 Mar 2019, 07:53
Bunuel wrote:
A ferry boat shuttles tourists to an island every hour starting at 10 AM until its last trip, which starts at 3 PM. One day the boat captain notes that on the 10 AM trip there were 100 tourists on the ferry boat, and that on each successive trip, the number of tourists was 1 fewer than on the previous trip. How many tourists did the ferry take to the island that day?

(A) 585
(B) 594
(C) 672
(D) 679
(E) 694

100+99+98+97+96+95 = 585
IMO A
Re: A ferry boat shuttles tourists to an island every hour starting at 10   [#permalink] 29 Mar 2019, 07:53