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'Rendezvous' printed from https://nrich.maths.org/
If the friends meet in
Bergerac, the total distance travelled will be $$87+79+61+58 \; \text{km} = 285\; \text{km}$$
| Bergerac |
|
|
|
|
| $87$ |
Bordeaux |
|
|
|
| $79$ |
|
Langon |
|
|
| $61$ |
|
|
Libourne |
|
| $58$ |
|
|
|
Marmande |
If the friends meet in
Bordeaux, the total distance travelled will be $$87+47+31+84 \; \text{km} = 249\; \text{km}$$
| Bergerac |
|
|
|
|
| $87$ |
Bordeaux |
|
|
|
| |
$47$ |
Langon |
|
|
| |
$31$ |
|
Libourne |
|
| |
$84$ |
|
|
Marmande |
If the friends meet in
Langon, the total distance travelled will be $$79+47+54+37 \; \text{km}=217\; \text{km}$$
| Bergerac |
|
|
|
|
| |
Bordeaux |
|
|
|
| $79$ |
$47$ |
Langon |
|
|
| |
|
$54$ |
Libourne |
|
| |
|
$37$ |
|
Marmande |
If the friends meet in
Libourne, the total distance travelled will be $$61+31+54+65 \; \text{km}=211\; \text{km}$$
| Bergerac |
|
|
|
|
| |
Bordeaux |
|
|
|
| |
|
Langon |
|
|
| $61$ |
$31$ |
$54$ |
Libourne |
|
| |
|
|
$65$ |
Marmande |
If the friends meet in
Marmande, the total distance travelled will be$$58+84+37+65 \; \text{km}=244\; \text{km}$$
| Bergerac |
|
|
|
|
| |
Bordeaux |
|
|
|
| |
|
Langon |
|
|
| |
|
|
Libourne |
|
| $58$ |
$84$ |
$37$ |
$65$ |
Marmande |
So the friends should meet in Libourne.