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03 Sep 2021, 04:33
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
85% (01:25) correct
15%
(01:40)
wrong
based on 122
sessions
History
Date
Time
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Not Attempted Yet
Bucky leaves Amity for Truro, which is 8 miles away, at the same time that Robin leaves Truro for Amity. If neither of them stops along the way, and they meet along the road 2 miles from Amity, what is the ratio of Bucky’s average speed to Robin’s average speed?
A. 1/4
B. 1/3
C. 1/1
D. 3/1
E. 4/1
A. 1/4
B. 1/3
C. 1/1
D. 3/1
E. 4/1
03 Sep 2021, 10:09
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Let both meet after time "t"
Average Speed = \(\frac{Total Distance Travelled}{Total Time Taken}\)
Distance travelled by Bucky = 2miles
Distance travelled by Robin = 8-2 miles = 6 miles (refer below image)
image-7.jpg [ 10.35 KiB | Viewed 2713 times ]
Average speed of Bucky =\(\frac{Distance }{ time}\) = \(\frac{2}{t}\)
Average speed of Robin=\(\frac{Distance }{ time}\) = \(\frac{6}{t}\)
\(\frac{Average speed of Bucky}{Average speed of Robin}\) = \(\frac{2}{t}\) / \(\frac{6}{t}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\)
So, Answer will be B
Hope it helps!
Average Speed = \(\frac{Total Distance Travelled}{Total Time Taken}\)
Distance travelled by Bucky = 2miles
Distance travelled by Robin = 8-2 miles = 6 miles (refer below image)
Attachment:
image-7.jpg [ 10.35 KiB | Viewed 2713 times ]
Average speed of Bucky =\(\frac{Distance }{ time}\) = \(\frac{2}{t}\)
Average speed of Robin=\(\frac{Distance }{ time}\) = \(\frac{6}{t}\)
\(\frac{Average speed of Bucky}{Average speed of Robin}\) = \(\frac{2}{t}\) / \(\frac{6}{t}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\)
So, Answer will be B
Hope it helps!
03 Sep 2021, 10:40
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They travel for the same time, and Robin travels 3 times as far as Bucky, so Robin must have traveled 3 times as fast as Bucky. So the ratio of Robin's speed to Bucky's speed is 3 to 1. The question asks for the reverse of that ratio, so the answer is 1 to 3 or 1/3.
