Two trucks

Two trucks left cities A and B against each other and met after an hour. The first car came to B 27 minutes later than the second car to A. Calculate the car speed if the distance between cities A and B is 90 km.

Correct answer:

v1 =  40 km/h
v2 =  50 km/h

Step-by-step explanation:

s=90 km  t1=1 h t2=27 min h=27:60  h=0.45 h  s1+s2=s   v1 t1 + v2 t1 = s  v1 (t + t2) = s  v2  t = s  1 v1 + 1 v2 = 90 v1 (t + 27/60) = 90 v2  t = 90  v1 + v2 = 90 v1 t + v1 27/60 = 90 t = 90/v2  v1 + v2 = 90 v1 90/v2 + v1 27/60 = 90  v1 90 + v2 v1 27/60 = 90 v2 (90v2) 90 + v2 (90v2) 27/60 = 90 v2  (90x) 90 60+x (90x) 27=60 90 x  (90x) 90 60+x (90x) 27=60 90 x 27x28370x+486000=0 27x2+8370x486000=0 27=33 8370=233531 486000=243553 GCD(27,8370,486000)=33=27  x2+310x18000=0  a=1;b=310;c=18000 D=b24ac=310241(18000)=168100 D>0  x1,2=2ab±D=2310±168100 x1,2=2310±410 x1,2=155±205 x1=50 x2=360  v2=x1=50 v1=90v2=9050=40 km/h

Our quadratic equation calculator calculates it.

v2=50=50 km/h



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