The tourist

The tourist traveled 190km in 5 hours. Part of the journey passed at 5 km/h. The rest he went by bus at a speed of 60 km/h. How long has a bus gone?

Correct answer:

b =  3 h

Step-by-step explanation:


190 = 5a + 60b
a+b = 5

190 = 5·a + 60·b
a+b = 5

5a+60b = 190
a+b = 5

Row 2 - 1/5 · Row 1 → Row 2
5a+60b = 190
-11b = -33


b = -33/-11 = 3
a = 190-60b/5 = 190-60 · 3/5 = 2

a = 2
b = 3

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