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A wooden rod is cut into two pieces. What is the length of the longer piece?
(1) One of the pieces is 20 inches longer than the other piece.
(2) The length of the shorter piece is \(\frac{1}{3}\) the length of the longer piece
(1) One of the pieces is 20 inches longer than the other piece.
(2) The length of the shorter piece is \(\frac{1}{3}\) the length of the longer piece
30 Sep 2017, 04:57
Kudos
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A wooden rod is cut into two pieces. What is the length of the longer piece?
Let the length of the shorter and longer pieces be x and y, respectively.
(1) One of the pieces is 20 inches longer than the other piece --> x + 20 = y. Not sufficient.
(2) The length of the shorter piece is \(\frac{1}{3}\) the length of the longer piece --> x = y/3. Not sufficient.
(1)+(2) We have two distinct linear equations with two unknowns, hence we can solve for both. Sufficient.
Answer: C.
Let the length of the shorter and longer pieces be x and y, respectively.
(1) One of the pieces is 20 inches longer than the other piece --> x + 20 = y. Not sufficient.
(2) The length of the shorter piece is \(\frac{1}{3}\) the length of the longer piece --> x = y/3. Not sufficient.
(1)+(2) We have two distinct linear equations with two unknowns, hence we can solve for both. Sufficient.
Answer: C.
30 Sep 2017, 08:31
Kudos
Bookmarks
A wooden rod is cut into two pieces. What is the length of the longer piece?
=> Longer piece = L
shorter piece = S
(1) One of the pieces is 20 inches longer than the other piece.
L = S+20 inch
as we don't know full length of wooden rod. => we don't know S to calculate L
Insufficient
(2) The length of the shorter piece is 1/3 the length of the longer piece
S= L/3
as we don't know full length of wooden rod. => we don't know S to calculate L
Insufficient
1+2
L = S+20 and L=S= L/3
=> L= L/3 +20 => 2L/3 = 20 => L = 30
Sufficient
Answer: C
=> Longer piece = L
shorter piece = S
(1) One of the pieces is 20 inches longer than the other piece.
L = S+20 inch
as we don't know full length of wooden rod. => we don't know S to calculate L
Insufficient
(2) The length of the shorter piece is 1/3 the length of the longer piece
S= L/3
as we don't know full length of wooden rod. => we don't know S to calculate L
Insufficient
1+2
L = S+20 and L=S= L/3
=> L= L/3 +20 => 2L/3 = 20 => L = 30
Sufficient
Answer: C
