Znojmo

From Znojmo to Brno started truck with a trailer at an average speed 53 km per hour. Against him 14 minutes later from Brno started car with an average speed of 1.2-times greater than the truck.

How long and how far from Znojmo, they meet if the distance Znojmo - Brno is 65 km?

Result

t =  41.08 min
s1 =  36.3 km

Solution:

v1=53 km/h v2=1.2v1=63.6 km/h 14 min=0.233333333333 h v1t+v2(t0.233333333333)=65 t(53+63.6)=65+14.84 t=0.685 hod t=41.08 min v_1 = 53 \ km/h \ \\ v_2 = 1.2 \cdot v_1 = 63.6 \ km/h \ \\ 14 \ min = 0.233333333333 \ h \ \\ v_1 t + v_2 (t - 0.233333333333) = 65 \ \\ t( 53 + 63.6) = 65 +14.84 \ \\ t = 0.685 \ hod \ \\ t = 41.08 \ \text{min} \ \\
s1=v1t=530.685=36.3 kms_1 = v_1 t = 53 \cdot 0.685 = 36.3 \ \text{km}



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