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11 Jul 2024, 07:01
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City Centre: 9
Laurel Lane: 7
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
55% (03:11) correct
45%
(03:09)
wrong
based on 494
sessions
History
Date
Time
Result
Not Attempted Yet
Route 1: City Centre – Market Square – Songbird Park – City Centre (3 miles)
Route 2: City Centre – Laurel Lane – Market Square – City Centre (3 miles)
Route 3: City Centre – City Hall – Laurel Lane – City Centre (3 miles)
Route 4: City Centre – City Hall – Market Square – Laurel Lane – City Centre (4 miles)
Route 5: City Centre – Songbird Park – Market Square – Laurel Lane – City Centre (4 miles)
A cross-country runner trains by running three predetermined routes every day. Each day, her total distance travelled is 10 miles. She does not run any of the routes more than two days in a row and never avoids a route two days in a row.
For the City Centre, select the number of times the runner will run towards the city centre over the span of any 3-day period. For Laurel Lane, select the number of times the runner will run towards Laurel Lane over the span of any 3-day period. Make only two selections, one in each column.
Route 2: City Centre – Laurel Lane – Market Square – City Centre (3 miles)
Route 3: City Centre – City Hall – Laurel Lane – City Centre (3 miles)
Route 4: City Centre – City Hall – Market Square – Laurel Lane – City Centre (4 miles)
Route 5: City Centre – Songbird Park – Market Square – Laurel Lane – City Centre (4 miles)
A cross-country runner trains by running three predetermined routes every day. Each day, her total distance travelled is 10 miles. She does not run any of the routes more than two days in a row and never avoids a route two days in a row.
For the City Centre, select the number of times the runner will run towards the city centre over the span of any 3-day period. For Laurel Lane, select the number of times the runner will run towards Laurel Lane over the span of any 3-day period. Make only two selections, one in each column.
|
| City Centre | Laurel Lane | |
| 3 | ||
| 6 | ||
| 7 | ||
| 8 | ||
| 9 |
ShowHide Answer
Official Answer
City Centre: 9
Laurel Lane: 7
11 Jul 2024, 07:06
Kudos
Bookmarks
Bunuel
Experts' Global Explanation:
Since the total distance traveled by the runner is 10 miles, it follows that the runner must take two 3-mile routes and one 4-mile route (3 + 3 + 4 = 10).
I.
All routes start from the City Centre and end at the City Centre.
Since the runner has to go through a total of three routes every day, it follows that the runner will run towards the City Centre 3 times over the span of any 1-day period.
Thus, the total number of times the runner will travel through City Centre over the span of any 3-day period = 3 x 3 = 9.
II.
4-mile route:
Since each of the two 4-mile routes goes through Laurel Lane once, it follows that irrespective of which 4-mile path the runner chooses, she will run towards Laurel Lane 3 times over the span of any 3-day period, while traveling through the 4-mile route.
3-mile routes:
Since there are three 3-mile routes, and since the given conditions state that the runner does not run any of the routes more than two days in a row and never avoids a route two days in a row, it follows that the runner must take each 3-mile route twice over the span of any 3-day period.
Two of the three 3-mile routes go through Lauren Lane once and the remaining 3-mile route does not go through Lauren Lane.
Hence, it follows that over a span of any 3-day period, the runner will run 4 times towards Laurel Lane, while traveling through the 3-mile routes.
Thus, the total number of times the runner will travel through Lauren Lane over the span of any 3-day period = 3 + 4 = 7
Hence, for “City Centre” column, “9”, and for “Lauren Lane” column, “7” is the correct combination of the answer choices.
Emkicheru
Joined: 12 Sep 2023
Last visit: 12 Sep 2025
Posts: 119
Own Kudos:
Given Kudos: 11
Location: Kenya
Schools: Anderson (UCLA) Sloan (MIT) Columbia '27
GMAT 1: 780 Q50 V48
GRE 1: Q167 V164
GPA: 3.7
Schools: Anderson (UCLA) Sloan (MIT) Columbia '27
GMAT 1: 780 Q50 V48
GRE 1: Q167 V164
Posts: 119
Kudos:
22
11 Jul 2024, 07:55
Kudos
Bookmarks
Considering the frequency we can deduce.
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