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02 Oct 2019, 03:15
Kudos
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E
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:
38% (02:22) correct
62%
(01:43)
wrong
based on 119
sessions
History
Date
Time
Result
Not Attempted Yet
A train always travels at one of two speeds: 160 km/hr in rural areas and 40 km/hr in urban areas. Was its average speed from A to B greater than 100 km/hr?
(1) More than 2/3 of the distance from A to B is through rural areas.
(2) The distance from A to B is more than 1000 km.
(1) More than 2/3 of the distance from A to B is through rural areas.
(2) The distance from A to B is more than 1000 km.
03 Oct 2019, 20:19
Kudos
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Bunuel
\(Formula: Average Speed = \frac{Total Distance}{Total Time}\)
(1) More than 2/3 of the distance from A to B is through rural areas.
Let total distance = D
Case 1: If train travels exactly 2/3rd distance in rural areas
--> Total time = (2D/3)/160 + (D/3)/40 = D/240 + D/120 = D/80
--> average Speed =\(\frac{D}{(D/80)}\) = 80 km/hr
Case 2: If train travels total distance in rural areas
Total time = D/160
--> Average speed = \(\frac{D}{(D/160)}\) = 160 km/hr
--> Insufficient
(2) The distance from A to B is more than 1000 km
As we have seen above, Average Speed is independent of the distance --> Insufficient
Combining (1) & (2),
No additional information is added --> Insufficient
IMO Option E
22 Dec 2024, 13:30
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