Truck and car

At 6h45min, the truck started at a speed of 36 km/h. At 7h30m behind it a passenger car. Find the passenger car's average speed to catch the truck 72 km away from the factory.

Correct answer:

v =  57.6 km/h

Step-by-step explanation:

v1=36 km/h s=72 km  t1=6:45=6 hr 45 min =6+6045=6.75 hr=6.75 t2=7:30=7 hr 30 min =7+6030=7.5 hr=7.5  Δ=t2t1=7.56.75=43=0.75 h  t=s/v1=72/36=2 h  s = v (tΔ)  v=tΔs=20.7572=5288=57.6=57.6 km/h   Verifying Solution:   t3=t1+t=6.75+2=435=8.75 h t4=t2+s/v=7.5+72/57.6=435=8.75 h

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