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09 Jul 2018, 00:41
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
67% (02:12) correct
33%
(02:18)
wrong
based on 527
sessions
History
Date
Time
Result
Not Attempted Yet
Bill rides his bile to work in the morning on a route that is 18 km long. Did Bill take longer than 40 minutes to get to work this morning? (1 km = approximately 0.6 miles)
(1) Bill's average speed on the trip this morning was greater than 18 miles per hour.
(2) Bill's average speed on the trip this morning was less than 20 miles per hour.
(1) Bill's average speed on the trip this morning was greater than 18 miles per hour.
(2) Bill's average speed on the trip this morning was less than 20 miles per hour.
09 Jul 2018, 03:39
Kudos
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Solution
Given:
- • Bill rides his bike to work in the morning on a route that is 18 km long
• 1 km = approximately 0.6 miles
- o 18 km = 18 * 0.6 miles = 10.8 miles
To find:
- • Did Bill take longer than 40 minutes to get to work this morning?
Approach and Working:
If Bill wants to cover 10.8 miles in 40 minutes or \(\frac{2}{3}\) hours,
- • His speed should be = \(10.8 * \frac{3}{2}\) mph = 16.2 mph
Therefore, if Bill’s speed is more than 16.2 mph, he will take less than 40 minutes to cover the distance
Analysing Statement 1
- • As per the information given in statement 1, Bill's average speed on the trip this morning was greater than 18 miles per hour
- o As the speed is more than 16.2 mph, hence the time taken will be less than 40 minutes
Hence, statement 1 is sufficient to answer the question
Analysing Statement 2
- • As per the information given in statement 2, Bill's average speed on the trip this morning was less than 20 miles per hour
- o But less than 20 mph can be either less, or equal, or more than 1.2 mph
Hence, statement 2 is not sufficient to answer the question
Hence, the correct answer is option A.
Answer: A
General Discussion
09 Jul 2018, 01:05
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Bunuel
IMO A.
18 miles per hour-Time taken -36 minutes.so time will be less than 36 minutes for any speed more than 18.
Speed Less than 20 means it can be any thing
Say 10.8 miles per hr- so time taken will be 60 minute- not sufficient.
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