From Aqua-Bella island, it is possible to reach Aqua-Marine island by either ferry A or ferry B. Ferry A...

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AAPL: Moderator; Posts: 2749; Joined: Sun Oct 29, 2017 2:08 pmFollowed by: 2 members

by AAPL » Mon Aug 03, 2020 11:51 am

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Economist GMAT

From Aqua-Bella island, it is possible to reach Aqua-Marine island by either ferry A or ferry B. Ferry A sails 3 hours at 7 kilometers per hour, while ferry B takes a route that is three times longer. If ferry A is slower than ferry B by 2 kilometers per hour, how many hours longer is the journey of ferry B compared with the journey of ferry A?

A. 4
B. 7
C. 8.6
D. 9.6
E. 12.6

OA A

Source: Beat The GMAT — Problem Solving | Mon Aug 03, 2020 11:51 am

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 amFollowed by: 34 members; Location: Grand Central / New York; Thanked: 470 times

Re: From Aqua-Bella island, it is possible to reach Aqua-Marine island by either ferry A or ferry B. Ferry A...

by Jay@ManhattanReview » Mon Aug 03, 2020 9:49 pm

AAPL wrote: ↑
Mon Aug 03, 2020 11:51 am
Economist GMAT

From Aqua-Bella island, it is possible to reach Aqua-Marine island by either ferry A or ferry B. Ferry A sails 3 hours at 7 kilometers per hour, while ferry B takes a route that is three times longer. If ferry A is slower than ferry B by 2 kilometers per hour, how many hours longer is the journey of ferry B compared with the journey of ferry A?

A. 4
B. 7
C. 8.6
D. 9.6
E. 12.6

OA A

Given that Ferry A sails 3 hours at 7 kilometers per hour, the total distance ferry covers = 3*7 = 21 kilometers.

Thus, the length of ferry B = 3*21 = 63 km.

Also, given that ferry A is slower than ferry B by 2 kilometers per hour, speed of ferry B = 7 + 2 = 9 kmpl

Thus, time taken by ferry B = 63/9 = 7 hours

Thus, compared with ferry A ferry b takes 7 – 3 = 4 hours more

Correct answer: A

Hope this helps!

-Jay
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