Speedy John

Algebra Level 2

John drives along a motorway at a constant speed for 120 kilometres.

The next day he completes the journey travelling at 10 km/h faster. He completes this journey at a speed which is 10 minutes less than the first journey. At what speed did John complete the first journey?

Note: The answer will be accepted in the units of km/h


The answer is 80.

Surayyah Aziz by Surayyah Aziz , 18, United Kingdom

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1 solution

X X
Aug 4, 2018

Speed=Distance/Time \text{Speed=Distance/Time}

120 x − 120 x + 10 = 1 6 \dfrac{120}x-\dfrac{120}{x+10}=\dfrac16 (Since 10 minutes is 1 6 \frac16 hours)

Solving and get x = 80 x=80 (or − 90 -90 which is not possible)

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