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20 Feb 2020, 06:48
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
65% (01:24) correct
35%
(01:22)
wrong
based on 160
sessions
History
Date
Time
Result
Not Attempted Yet
Points X and Y are 100 miles apart. pat and Mark started simultaneously from X and Y respectively and traveled towards Y and X respectively. The two crossed each other after half and hour. Who is nearer to his destination when they cross each otehr ?
(1) Mark's speed is 80 miles per hour.
(2) Pat's speed is 120 miles per hour.
(1) Mark's speed is 80 miles per hour.
(2) Pat's speed is 120 miles per hour.
20 Feb 2020, 07:25
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Bunuel
Given: Points X and Y are 100 miles apart. The two crossed each other after 0.5 hours.
Since the two people met after 0.5 hours, we know that each person's travel time is 0.5 hours
Target question: Who is nearer to his destination when they cross each other ?
Statement 1: Mark's speed is 80 miles per hour.
distance = (speed)(time)
So, Mark's travel distance = (80 mph)(0.5 hours) = 40 miles
This means Mark travelled 40 miles, which means Pat travelled the remaining 60 miles
This means Pat is closer to his destination when they cross
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: Pat's speed is 120 miles per hour
So, Pat's travel distance = (120 mph)(0.5 hours) = 60 miles
This means Pat travelled 60 miles, which means Mark travelled the remaining 40 miles
This means Pat is closer to his destination when they cross how you doing
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
Cheers,
Brent
shameekv1989
20 Feb 2020, 08:03
Kudos
Bookmarks
Bunuel
Let speed of Pat be x
Let speed of Mark be y
Relative speed = x+y since they are moving in opposite direction
The time taken = 1/2 hr for them to meet
Therefore \(speed = \frac{Distance}{Time}\) => x+y = 200
i) y = 80 => x = 120
Since speed is directly propotional to the distance it covers x i.e. Pat will cover more distance than Mark - Sufficient
Similarly for ii) where x = 120 => y = 80 and by the same logic Pat covers more distance than Mark - Sufficient
Answer - D
