Home Driving

Algebra Level 2

Serge usually drives from his home to school in 12 minutes. When in a hurry, he increases his average speed by 5km per hour and makes the trip in 10 minutes. How far (in km) does Serge live from his school?


The answer is 5.

Dave Maghinay by Dave Maghinay , 23, Philippines

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2 solutions

Godwin Tom George
Sep 21, 2014

Not specified the distance in KM

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Thanks. I have updated the problem accordingly. Can you add a proper solution?

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Calvin Lin Staff - 6 years, 6 months ago

V = s p e e d ; d = d i s t a n c e ; t = t i m e V=speed; d=distance; t=time

V = d t = d 12 60 = 60 d 12 = 5 d V=\dfrac{d}{t}=\dfrac{d}{\dfrac{12}{60}}=\dfrac{60d}{12}=5d ( 1 ) \color{#D61F06}(1)

V + 5 = d 10 60 = 60 d 10 = 6 d V+5=\dfrac{d}{\dfrac{10}{60}}=\dfrac{60d}{10}=6d ⟹ \implies V = 6 d − 5 V=6d-5 ( 2 ) \color{#D61F06}(2)

V = V V=V

6 d − 5 = 5 d 6d-5=5d

d = 5 \color{plum}\boxed{d=5}

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