Answered

To go to a place which is 26 km away, my sister rode a bike at
16 km/h at the beginning. Then, she walked the rest of the distance
at 4 km/h. It took 2 hours in total. Find the distances my sister
rode
a
bike and walked respectively.



Answer :

sqdancefan

Answer:

  • rode 24 km
  • walked 2 km

Step-by-step explanation:

You want the distances traveled at 16 km/h and at 4 km/h if the total trip of 26 km took 2 h.

Time, Speed, Distance

The relation between time, speed, and distance is ...

  t = d/s

If b represents the distance traveled by bicycle, we have ...

  [tex]2=\dfrac{b}{16}+\dfrac{26-b}{4}\\\\\\2=\dfrac{b+4(26-b)}{16}=\dfrac{104-3b}{16}\\\\\\3b=104 -32 = 72\\\\\\b=24[/tex]

She rode the bike 24 km, and walked 2 km.

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Additional comment

She rode for 1.5 hours and walked for 0.5 hours.

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