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03 Nov 2021, 06:30
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B
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74% (01:43) correct
26%
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A cyclist rides to the top of a hill and then coasts back down by the same route. The entire trip takes 4 hours. What is his average (arithmetic mean) speed when climbing the hill?
(1) The cyclist's average speed over the entire trip was 6 miles per hour.
(2) The distance to the top of the hill was 12 miles, and the cyclist's average speed on the downward trip was 18 miles per hour.
(1) The cyclist's average speed over the entire trip was 6 miles per hour.
(2) The distance to the top of the hill was 12 miles, and the cyclist's average speed on the downward trip was 18 miles per hour.
08 Nov 2021, 10:22
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Bunuel
Statement 1 gives the information about the total distance. But there is no clue of the speed climbing the hill. Not sufficient
Statement 2 - Distance for downtrip will also be 12. We can find the time taken for covering downtrip which is 12/18 or 2/3 hr.
Time taken for uphill = 4-2/3
= 10/3
Distance = 12
Avg speed can be found out. Sufficient
Option B
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08 Nov 2021, 21:39
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Abhishekgmat87
Abhishekgmat87, great solution above.
Alternatively, some students like the structured process of an RTD table, as shown below 👇 (Rate * Time = Distance)
Note that I use a green check mark in place of calculations — to save time on DS, we don't need the actual numbers. If we know 2 of the 3 values in any of the rows, we also know the 3rd value. The same is true of the T and D columns for a multi-part trip. In this case, for statement (2), we would first get T(down), then T(up), then R(up). (Also, for Overlapping Sets problems, we can also use this tactic of writing check marks for the 3rd value in a row or column in our table.)
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