Average Speed

Algebra Level 2

Suppose you bike to school at a speed of 8 miles per hour, and your school is 16 miles away. On the way back, your mother picks you up and drives you home. The car goes at 32 miles per hour. Find your average speed for your entire trip to school and back.

12.8 miles per hour 17 miles per hour 13 miles per hour 12 miles per hour

William Zhu by William Zhu , 37, USA

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1 solution

t i m e g o i n g t o t h e s c h o o l = d i s t a n c e s p e e d = 16 8 = 2 time~going~to~the~school=\dfrac{distance}{speed}=\dfrac{16}{8}=2

t i m e g o i n g b a c k h o m e = d i s t a n c e s p e e d = 16 32 = 0.5 time~going~back~home=\dfrac{distance}{speed}=\dfrac{16}{32}=0.5

a v e r a g e s p e e d = t o t a l d i s t a n c e t o t a l t i m e = 16 + 16 2 + 0.5 = 32 2.5 = 12.8 average~speed=\dfrac{total~distance}{total~time}=\dfrac{16+16}{2+0.5}=\dfrac{32}{2.5}=\boxed{12.8}

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