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01 Jul 2016, 04:22
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C
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:
70% (01:36) correct
30%
(01:54)
wrong
based on 108
sessions
History
Date
Time
Result
Not Attempted Yet
Daniel rides to school each day on a path that takes him first to a point directly east of his house and then from there directly north to his school. How much shorter would his ride to school be if he could walk on a straight-line path directly to school from his home, instead of east and then north?
(1) The direct straight-line distance from home to school is 17 miles.
(2) The distance he rides to the east is 7 miles less than the distance he rides going north.
(1) The direct straight-line distance from home to school is 17 miles.
(2) The distance he rides to the east is 7 miles less than the distance he rides going north.
01 Jul 2016, 10:17
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The answer is after combining both the statements : C
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01 Jul 2016, 10:26
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Let the distance covered to the east = a
Let the distance covered to the north = b
Let the straight line distance = c = hypotenuse
Question: a + b - c = ?
St1: c = 17 --> Insufficient as we do not know the value of a and b
St2: a = b - 7 --> b = a + 7 --> Insufficient as we do not know the values of a, b and c
Combining St1 and St2: a + a + 7 - 17 = 2a - 10
We also know that c^2 = a^2 + b^2
289 = a^2 + (a + 7)^2
289 = a^2 + a^2 + 49 + 14a
2a^2 + 14a - 240 = 0
a^2 + 7a - 120 = 0
a = 7 or -15
Distance cannot be negative --> a = 7
2a - 10 = 4
Answer: C
Let the distance covered to the north = b
Let the straight line distance = c = hypotenuse
Question: a + b - c = ?
St1: c = 17 --> Insufficient as we do not know the value of a and b
St2: a = b - 7 --> b = a + 7 --> Insufficient as we do not know the values of a, b and c
Combining St1 and St2: a + a + 7 - 17 = 2a - 10
We also know that c^2 = a^2 + b^2
289 = a^2 + (a + 7)^2
289 = a^2 + a^2 + 49 + 14a
2a^2 + 14a - 240 = 0
a^2 + 7a - 120 = 0
a = 7 or -15
Distance cannot be negative --> a = 7
2a - 10 = 4
Answer: C
