Is it possible for this truck to get across the desert?












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An unlimited supply of petrol is available from a camp at one edge of a desert which is 800 miles wide but no petrol is available anywhere else. A truck can only carry enough petrol to travel 500 miles and is able to leave petrol to be collected later. (There is no limit on the size of such stocks and it should be assumed that no petrol is lost by evaporation or spillage.) Establish whether or not it is possible for the truck to get across the desert and, if it is, explain how.










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  • 2




    $begingroup$
    Hint. Can you create a very large stash of petrol $100$ miles into the desert?
    $endgroup$
    – Ethan Bolker
    Jan 6 at 19:10










  • $begingroup$
    This is usually called the jeep problem. It comes in many forms, but a search will turn them up.
    $endgroup$
    – Ross Millikan
    Jan 6 at 19:13










  • $begingroup$
    @RossMillikan Thanks!
    $endgroup$
    – LegitFakeID
    Jan 6 at 19:24
















0












$begingroup$


An unlimited supply of petrol is available from a camp at one edge of a desert which is 800 miles wide but no petrol is available anywhere else. A truck can only carry enough petrol to travel 500 miles and is able to leave petrol to be collected later. (There is no limit on the size of such stocks and it should be assumed that no petrol is lost by evaporation or spillage.) Establish whether or not it is possible for the truck to get across the desert and, if it is, explain how.










share|cite|improve this question









$endgroup$








  • 2




    $begingroup$
    Hint. Can you create a very large stash of petrol $100$ miles into the desert?
    $endgroup$
    – Ethan Bolker
    Jan 6 at 19:10










  • $begingroup$
    This is usually called the jeep problem. It comes in many forms, but a search will turn them up.
    $endgroup$
    – Ross Millikan
    Jan 6 at 19:13










  • $begingroup$
    @RossMillikan Thanks!
    $endgroup$
    – LegitFakeID
    Jan 6 at 19:24














0












0








0


0



$begingroup$


An unlimited supply of petrol is available from a camp at one edge of a desert which is 800 miles wide but no petrol is available anywhere else. A truck can only carry enough petrol to travel 500 miles and is able to leave petrol to be collected later. (There is no limit on the size of such stocks and it should be assumed that no petrol is lost by evaporation or spillage.) Establish whether or not it is possible for the truck to get across the desert and, if it is, explain how.










share|cite|improve this question









$endgroup$




An unlimited supply of petrol is available from a camp at one edge of a desert which is 800 miles wide but no petrol is available anywhere else. A truck can only carry enough petrol to travel 500 miles and is able to leave petrol to be collected later. (There is no limit on the size of such stocks and it should be assumed that no petrol is lost by evaporation or spillage.) Establish whether or not it is possible for the truck to get across the desert and, if it is, explain how.







logic






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share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Jan 6 at 19:04









LegitFakeIDLegitFakeID

1




1








  • 2




    $begingroup$
    Hint. Can you create a very large stash of petrol $100$ miles into the desert?
    $endgroup$
    – Ethan Bolker
    Jan 6 at 19:10










  • $begingroup$
    This is usually called the jeep problem. It comes in many forms, but a search will turn them up.
    $endgroup$
    – Ross Millikan
    Jan 6 at 19:13










  • $begingroup$
    @RossMillikan Thanks!
    $endgroup$
    – LegitFakeID
    Jan 6 at 19:24














  • 2




    $begingroup$
    Hint. Can you create a very large stash of petrol $100$ miles into the desert?
    $endgroup$
    – Ethan Bolker
    Jan 6 at 19:10










  • $begingroup$
    This is usually called the jeep problem. It comes in many forms, but a search will turn them up.
    $endgroup$
    – Ross Millikan
    Jan 6 at 19:13










  • $begingroup$
    @RossMillikan Thanks!
    $endgroup$
    – LegitFakeID
    Jan 6 at 19:24








2




2




$begingroup$
Hint. Can you create a very large stash of petrol $100$ miles into the desert?
$endgroup$
– Ethan Bolker
Jan 6 at 19:10




$begingroup$
Hint. Can you create a very large stash of petrol $100$ miles into the desert?
$endgroup$
– Ethan Bolker
Jan 6 at 19:10












$begingroup$
This is usually called the jeep problem. It comes in many forms, but a search will turn them up.
$endgroup$
– Ross Millikan
Jan 6 at 19:13




$begingroup$
This is usually called the jeep problem. It comes in many forms, but a search will turn them up.
$endgroup$
– Ross Millikan
Jan 6 at 19:13












$begingroup$
@RossMillikan Thanks!
$endgroup$
– LegitFakeID
Jan 6 at 19:24




$begingroup$
@RossMillikan Thanks!
$endgroup$
– LegitFakeID
Jan 6 at 19:24










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