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A cable car travels from Seabreeze to Resortville, making t
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20 Sep 2017, 02:10
20 Sep 2017, 02:10
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94% (01:49) correct
5% (04:06) wrong based on 38 sessions
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A cable car travels from Seabreeze to Resortville, making two stops in between. Between Seabreeze and the first stop, the cable car travels \(\frac{1}{3}\) of the total distance between Seabreeze and Resortville. Between the first stop and the second stop, the cable car travels \(\frac{3}{5}\) of the remaining distance between the first stop and Resortville. What fraction of the entire distance from Seabreeze to Resortville remains between the second stop and Resortville?
A. \(1 - \frac{1}{3} - \frac{3}{5}\)
B. \(1 - \frac{1}{3} - \frac{3}{5} * (\frac{1}{3})\)
C. \(1 - \frac{1}{3} - \frac{3}{5} * (1 - \frac{1}{3})\)
D. \(1 - \frac{1}{3} - \frac{1}{3} (1 - \frac{3}{5})\)
E. \(1 - \frac{1}{3} - \frac{1}{5} * (1 - \frac{1}{3} - \frac{1}{5})\)
Re: A cable car travels from Seabreeze to Resortville, making t
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13 Oct 2017, 21:07
13 Oct 2017, 21:07
C
first stop distance = 1/3
second stop distance = 3/5*2/3
thired stop distance = 1-1/3-2/5
first stop distance = 1/3
second stop distance = 3/5*2/3
thired stop distance = 1-1/3-2/5
Re: A cable car travels from Seabreeze to Resortville, making t
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16 May 2021, 07:27
16 May 2021, 07:27
1
Solution: Let the distance total distance be 1
Thus to find the distance between the second stop and Resortville we need to subtract the total distance previously covered by the car
i.e. 1-\(\frac{1}{3}\)=\(\frac{2}{3}\)
Thus, the car is left with \(\frac{2}{3}\)rd distance to travel. From this the car travels\(\frac{3}{5}\)th
i.e. *
1-\(\frac{1}{3}\)-\(\frac{3}{5}\)*\(\frac{2}{3}\)
IMO C
Hope this helps
Thus to find the distance between the second stop and Resortville we need to subtract the total distance previously covered by the car
i.e. 1-\(\frac{1}{3}\)=\(\frac{2}{3}\)
Thus, the car is left with \(\frac{2}{3}\)rd distance to travel. From this the car travels\(\frac{3}{5}\)th
i.e. *
1-\(\frac{1}{3}\)-\(\frac{3}{5}\)*\(\frac{2}{3}\)
IMO C
Hope this helps
