Easy #9

Algebra Level 1

William travels to school in two different ways. Either he walks to school and takes the bus home, or he takes the bus to school and walks home. In each case his total travelling time is 40 40 minutes. If he were to take the bus both ways, his total travelling time would be 20 20 minutes. How many minutes would it take if he walked both ways?


The answer is 60.

Victor Loh by Victor Loh , 19, Singapore

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1 solution

Jeremy Bansil
Jul 27, 2014

Let w w be 'walking' and b b be 'by bus'.

w + b = 40 w + b = 40 or b + w = 40 b + w = 40

And this is the other statement.

2 b = 20 2b = 20

b = 10 b = 10

Let's go back to the first statement with this.

w + 10 = 40 w + 10 = 40

w = 40 − 10 w = 40 -10

w = 30 w = 30

So if he walked both ways, then ( 30 ) ( 2 ) = 60 (30)(2) = \boxed{60} minutes.

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How do you do the answer box formatting? Couldn't find it in the guide.

Tom Dufall - 6 years, 10 months ago

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\ ( \ b o x e d { e x a m p l e } \ ) 
[note: remove the spaces]

will show up e x a m p l e \boxed{example}

or search it in here

Jeremy Bansil - 6 years, 10 months ago

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