# Truck

Truck went for 4 hours and 30 minutes. If truck increase speed by 11 km/h, went same distance in 2 hours.

Calculate this distance.

Result

s =  39.6 km

#### Solution:

$t_{1}=4+30/60=\dfrac{ 9 }{ 2 }=4.5 \ \text{h} \ \\ t_{2}=2 \ \text{h} \ \\ \ \\ \ \\ v \cdot \ t_{1}=s \ \\ (v+11) \cdot \ t_{2}=s \ \\ \ \\ v \cdot \ 4.5=s \ \\ (v+11) \cdot \ 2=s \ \\ \ \\ s-4.5v=0 \ \\ s-2v=22 \ \\ \ \\ s=\dfrac{ 198 }{ 5 }=39.6 \ \\ =\dfrac{ 198 }{ 5 }=39.6 \ \text{km} \ \\ v=\dfrac{ 44 }{ 5 }=8.8 \ \\$

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