Trolleybus line No. 206 measured 24 km. If the trolley bus goes faster by 5 km/h, the way there and back would be shorter by 33 minutes. Calculate the trolley bus speed and the time it takes for a return trip.

Correct answer:

Trolleybus speed is:  18.5 km/h
The return trip took:  155.4 min

Step-by-step explanation:

s=24 km 33 min=0.55 h 2s=vt 2s=(v+5)(t0.55) vt=vt+5t0.55v2.75 0=5t0.55v2.75 0=5t20.552242.75t 0=5t22.75t26.4 t1,2=2ab±D=102.75±535.56 t1,2=0.275±2.314222 t1=2.589222332 t2=2.039222332 t>0;t=t1=155.4 min  v=t1224=18.54 km/h

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