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24 May 2015, 05:19
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (01:29) correct
26%
(02:16)
wrong
based on 34
sessions
History
Date
Time
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Not Attempted Yet
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
A. 4
B. 7
C. 8.6
D. 9.6
E. 12.6
This is what the speed, time, distance table looks like:
speed (km/hour) time (hours) distance (km)
ferry A 7 3 7×3=21
ferry B 7+2=9 3+t 3×21=63
According to Distance = Speed×Time, 9×(3+t)=63, so 3+t=7 and t=4 hours. Therefore A is the correct answer.
speed (km/hour) time (hours) distance (km)
ferry A 7 3 7×3=21
ferry B 7+2=9 3+t 3×21=63
According to Distance = Speed×Time, 9×(3+t)=63, so 3+t=7 and t=4 hours. Therefore A is the correct answer.
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24 May 2015, 13:06
Kudos
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Make a Speed Distance Time chart for A and B. Speed of A is 7, Time for A is 3 hrs hence distance for A (using the formula speed=distance/time) is 21 km. Hence distance for B is 3 times that of A = 3*21=63km. Speed for B is 2 kmph faster than A, hence 9. Use the formula again to get time for B is 63/9=7 hours. The difference between 7 and 3 is 4 hours.
Hence, the answer is A
Hence, the answer is A
24 May 2015, 13:26
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I drew two diagrams:
3 hrs. 7 km/hr
A:-------------->
21 km
7 hrs. 9 km/hr
B:-------------->
63 km
7-3 = 4, answer A.
We have a lot of given information. 3 hrs at 7 km/h for A. This makes a total of 21 km. If B is 3x longer, then the trip for B is 63 km. If A's ferry is 2 km/h shorter, then B's speed is 9. 63/9 gives us 7 hrs for the trip.
3 hrs. 7 km/hr
A:-------------->
21 km
7 hrs. 9 km/hr
B:-------------->
63 km
7-3 = 4, answer A.
We have a lot of given information. 3 hrs at 7 km/h for A. This makes a total of 21 km. If B is 3x longer, then the trip for B is 63 km. If A's ferry is 2 km/h shorter, then B's speed is 9. 63/9 gives us 7 hrs for the trip.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
