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Difficulty:
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Question Stats:
87% (02:20) correct
13%
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wrong
based on 62
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If Lena, Marco, and Oliver took turns paddling a canoe for the entire 1,120-meter route from East Dock to Pine Landing, with exactly one person paddling at a time, who paddled the greatest distance?
(1) Lena paddled 2 hours longer than Marco, and their average (arithmetic mean) speeds were 70 meters per hour and 50 meters per hour, respectively.
(2) Oliver paddled for 10 hours at an average (arithmetic mean) speed of 50 meters per hour.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
(1) Lena paddled 2 hours longer than Marco, and their average (arithmetic mean) speeds were 70 meters per hour and 50 meters per hour, respectively.
(2) Oliver paddled for 10 hours at an average (arithmetic mean) speed of 50 meters per hour.
(A) Statement 1 alone is sufficient, but statement 2 alone is not.
(B) Statement 2 alone is sufficient, but statement 1 alone is not.
(C) Both statements together are sufficient, but neither alone is sufficient.
(D) Each statement alone is sufficient.
(E) Neither statement is sufficient, even when combined.
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M47-206
20 Jun 2026, 01:30
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GMAT Club Official Solution:
If Lena, Marco, and Oliver took turns paddling a canoe for the entire 1,120-meter route from East Dock to Pine Landing, with exactly one person paddling at a time, who paddled the greatest distance?
(1) Lena paddled 2 hours longer than Marco, and their average speeds were 70 meters per hour and 50 meters per hour, respectively.
Let m be the number of hours Marco paddled. So:
Marco’s distance = 50m
Lena’s distance = 70(m + 2)
But Oliver’s distance is not fixed because m is not fixed.
Not sufficient.
(2) Oliver paddled for 10 hours at an average speed of 50 meters per hour.
So Oliver paddled:
10 * 50 = 500 meters
But we do not know how Lena and Marco split the remaining 620 meters.
Not sufficient.
(1)+(2) From statement (2), Oliver paddled 500 meters. So Lena and Marco together paddled 1120 - 500 = 620 meters
From statement (1):
Marco’s distance = 50m
Lena’s distance = 70(m + 2)
So:
50m + 70(m + 2) = 620
m = 4
Therefore:
Marco’s distance = 50 * 4 = 200
Lena’s distance = 70 * 6 = 420
Oliver’s distance = 500
So Oliver paddled the greatest distance.
Sufficient.
Answer: C.
If Lena, Marco, and Oliver took turns paddling a canoe for the entire 1,120-meter route from East Dock to Pine Landing, with exactly one person paddling at a time, who paddled the greatest distance?
(1) Lena paddled 2 hours longer than Marco, and their average speeds were 70 meters per hour and 50 meters per hour, respectively.
Let m be the number of hours Marco paddled. So:
Marco’s distance = 50m
Lena’s distance = 70(m + 2)
But Oliver’s distance is not fixed because m is not fixed.
Not sufficient.
(2) Oliver paddled for 10 hours at an average speed of 50 meters per hour.
So Oliver paddled:
10 * 50 = 500 meters
But we do not know how Lena and Marco split the remaining 620 meters.
Not sufficient.
(1)+(2) From statement (2), Oliver paddled 500 meters. So Lena and Marco together paddled 1120 - 500 = 620 meters
From statement (1):
Marco’s distance = 50m
Lena’s distance = 70(m + 2)
So:
50m + 70(m + 2) = 620
m = 4
Therefore:
Marco’s distance = 50 * 4 = 200
Lena’s distance = 70 * 6 = 420
Oliver’s distance = 500
So Oliver paddled the greatest distance.
Sufficient.
Answer: C.
General Discussion
18 Jun 2026, 23:14
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total distance = 1120 mtr
three people = L, M, O
find = who travelled greatest distance?
one person driving at a one time.
S-1
time for lena = x+2, speed of lena = 70 mtr/hr
time for Marco = x, speed of Marco = 50 mtr/hr
distance by lena = 70(x+2)
distance by Marco = 50x
total distance= 140 + 120x
leftover distance = 1120 -(140+120x)
this leftover must be travelled by Oliver = 980 -120x
now we don't know value of x.
x can be max 8. the moment it goes beyond that, Olivers distance goes into negative and that's no possible.
0< x =< 8
so when x is at max (8), greatest distance will be by Lena
but when x is at min (1), greatest distance will be by Oliver.
no definite ans. insufficient.
S-2
Oliver distance = 50*10 =500
so leftover distance = 620
no idea about speed and time of lena and Marco.
insufficient.
S- 1&2
from 2 e know leftover D is 620
and from 1 we know total D between L and M = 140+120x
140+120x = 620
120x = 480
x = 4
so now we know the greatest distance will be paddled by D.
Option C
three people = L, M, O
find = who travelled greatest distance?
one person driving at a one time.
S-1
time for lena = x+2, speed of lena = 70 mtr/hr
time for Marco = x, speed of Marco = 50 mtr/hr
distance by lena = 70(x+2)
distance by Marco = 50x
total distance= 140 + 120x
leftover distance = 1120 -(140+120x)
this leftover must be travelled by Oliver = 980 -120x
now we don't know value of x.
x can be max 8. the moment it goes beyond that, Olivers distance goes into negative and that's no possible.
0< x =< 8
so when x is at max (8), greatest distance will be by Lena
but when x is at min (1), greatest distance will be by Oliver.
no definite ans. insufficient.
S-2
Oliver distance = 50*10 =500
so leftover distance = 620
no idea about speed and time of lena and Marco.
insufficient.
S- 1&2
from 2 e know leftover D is 620
and from 1 we know total D between L and M = 140+120x
140+120x = 620
120x = 480
x = 4
so now we know the greatest distance will be paddled by D.
Option C
Bunuel
