Trolleybus

Trolleybus line No. 215 is 30 km long. If the trolleybus travels 4 km/h faster, the round trip would be 39 minutes shorter. Calculate the trolleybus's speed and the time for a round trip.

Final Answer:

v =  17.3192 km/h
t =  3.4644 h

Step-by-step explanation:

s=30 km Δt=0.65 min h=0.65:60  h=0.01083 h  2s = vt 2s = (v+4)(t0.65)  vt = vt +4 t  0.65 v  2.6 0 = 4 t  0.65 v  2.6  0 = 4 t2  0.65   2   s  2.6 t 0=4t22.6t39  0=4 t22.6 t39 4t2+2.6t+39=0 4t22.6t39=0  a=4;b=2.6;c=39 D=b24ac=2.6244(39)=630.76 D>0  t1,2=2ab±D=82.6±630.76 t1,2=0.325±3.139367 t1=3.464366974 t2=2.814366974  t>0  t=t1=3.46443.4644 h  v=t2 s=3.46442 30=17.3192 km/h

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You need to know the following knowledge to solve this word math problem:

algebraarithmeticbasic operations and conceptsUnits of physical quantitiesthemes, topicsGrade of the word problem

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