Distance 8591

The distance between A and B is 132 km. At 9:00, a cyclist set off from A at 24 km/h. At 10:00, a cyclist set off from B at a speed of 30 km/h. How long and for how long will they meet (from A)?

Correct answer:

t =  2 h
a =  72 km

Step-by-step explanation:


a+b = 132
24(t+1) = a
30t = b

a+b = 132
24·(t+1) = a
30·t = b

a+b = 132
a-24t = 24
b-30t = 0

Row 2 - Row 1 → Row 2
a+b = 132
-b-24t = -108
b-30t = 0

Row 3 + Row 2 → Row 3
a+b = 132
-b-24t = -108
-54t = -108


t = -108/-54 = 2
b = -108+24t/-1 = -108+24 · 2/-1 = 60
a = 132-b = 132-60 = 72

a = 72
b = 60
t = 2

Our linear equations calculator calculates it.
a=72=72 km

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