Traveling 27833

The truck drove at an average speed of 20 km/h and left Prague toward Liberec. At the same time, a bus left with him, traveling at an average speed of 30 km/h, and it arrived in Liberec 2 hours earlier than the truck. What is the distance between Prague and Liberec?

Correct answer:

s =  120 km

Step-by-step explanation:

v1​=20 km/h v2​=30 km/h T=2 h  s=v1​⋅ t s=v2​⋅ (t−T) s=20⋅ t s=30⋅ (t−2)  s−20t=0 s−30t=−60  Row2−Row1→Row2 s−20t=0 −10t=−60  t=−10−60​=6 s=0+20t=0+20⋅ 6=120  s=120 t=6

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