Help with a distance problem

**xXplosionZz** · December 13th 2012, 07:09 AM

Dahlai walks from home to school at 2km/h. After school she jogs back home at 6km/h and saves 15 mins. How far away is her house from school? I don't even know how to approach this, all help is appreciated.

**Bean** · December 13th 2012, 07:15 AM

Remember that distance equals rate*time. She is traveling the same distance going to school as coming home.

$2x=6(x-\frac{1}{4})$

Can you take it from there?

**Soroban** · December 13th 2012, 09:52 AM

Hello, xXplosionZz!

Recall the formula: . $d \:=\:rt \quad\Rightarrow\quad t \:=\:\tfrac{d}{r}$

Dahlai walks from home to school at 2km/hr.
After school she jogs back home at 6km/hr and saves 15 mins.
How far away is her house from school?

She walks $x$ km at 2 km/hr.
. . This takes $\frac{x}{2}$ hours.

She jogs $x$ km at 6 km/hr.
. . This takes $\frac{x}{6}$ hours.

Her jogging time is $\tfrac{1}{4}$ hour less than her walking time.
. . The equation is: . $\frac{x}{6} \:=\:\frac{x}{2} - \frac{1}{4}$

Got it?

**xXplosionZz** · December 13th 2012, 06:35 PM

Sorta got it, thanks. Do you have any other questions like this to practise?

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