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blowice27
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P and Q travels from D to A and break journey at M in between 04 Oct 2019, 09:56
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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:

45% (medium)

Question Stats:

72% (02:46) correct 28% (02:35) wrong based on 163 sessions

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P and Q travels from D to A and break journey at M in between. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M". Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here". The distance between D and A is:

A. 250 km
B. 350 km
C. 450 km
D. 500 km
E. 640 km
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C
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P and Q travels from D to A and break journey at M in between 04 Oct 2019, 20:38
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2x+2y=300
x+y=150

3(x+y)=150*3=450Km


blowice27
P and Q travels from D to A and break journey at M in between. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M". Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here". The distance between D and A is:

A. 250 km
B. 350 km
C. 450 km
D. 500 km
E. 640 km
Show more

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P and Q travels from D to A and break journey at M in between 04 Oct 2019, 20:45
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blowice27
P and Q travels from D to A and break journey at M in between. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M". Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here". The distance between D and A is:

A. 250 km
B. 350 km
C. 450 km
D. 500 km
E. 640 km
Show more

Please mention the source
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jfranciscocuencag
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P and Q travels from D to A and break journey at M in between 24 Oct 2019, 15:43
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nick1816
2x+2y=300
x+y=150

3(x+y)=150*3=450Km


blowice27
P and Q travels from D to A and break journey at M in between. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M". Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here". The distance between D and A is:

A. 250 km
B. 350 km
C. 450 km
D. 500 km
E. 640 km
Show more

Hello nick1816

Could you please explain to me why 2y? I dont understand at all.

Kind regards!
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hualsalam
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P and Q travels from D to A and break journey at M in between 27 Oct 2019, 00:20
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nick1816

did you multiply by 3 because of the three points D-M-A?
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P and Q travels from D to A and break journey at M in between 27 Oct 2019, 03:56
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jfranciscocuencag
nick1816
2x+2y=300
x+y=150

3(x+y)=150*3=450Km


blowice27
P and Q travels from D to A and break journey at M in between. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M". Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here". The distance between D and A is:

A. 250 km
B. 350 km
C. 450 km
D. 500 km
E. 640 km

Hello nick1816

Could you please explain to me why 2y? I dont understand at all.

Kind regards!
Show more

Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here".

At point D, Q told P that distance from D to A is half of that from M to D.
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P and Q travels from D to A and break journey at M in between 27 Oct 2019, 03:59
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Please see the diagram i attached in earlier post. Total distance= x+2x+2y+y=3(x+y)


hualsalam
nick1816

did you multiply by 3 because of the three points D-M-A?
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P and Q travels from D to A and break journey at M in between 27 Oct 2019, 09:00
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blowice27
P and Q travels from D to A and break journey at M in between. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M". Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here". The distance between D and A is:

A. 250 km
B. 350 km
C. 450 km
D. 500 km
E. 640 km
Show more

Given:
1. P and Q travels from D to A and break journey at M in between.
2. Somewhere between D and M, P asks "how far have we travelled?" Q replies, "Half as far as the distance from here to M".
3. Somewhere between M and A, exactly 300 km from the point where P asks the first question, "How far have we to go?" Q replies, "Half as far as the distance from M to here".

Asked: The distance between D and A is:

D-----2-----------M-----------3--------A

Distance between 2 & 3 = 300 km
D2 = 1/2 * 2M = x
DM = 3x; 2M = 2x
M3 = 300 - 2x
M3 = 2 * 3A
3A = 150 - x

DA = D2 + 2M + M3 + 3A = x + 2x + 300 - 2x + 150 -x = 450 km

IMO C
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P and Q travels from D to A and break journey at M in between 28 Nov 2025, 03:49
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