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If the interval between bus arrivals is shortened by one minute, there will be 5 more buses on this route per hour.
How many buses ran on the original route?

(Recommended: solve with an experiment or a table where we look for the dependence between the length of the interval and the number of buses on the route. )

Correct answer:

x =  15

Step-by-step explanation:

60/(T1)  = 5 + 60/T  60 T=5 T (T1)+60 (T1)  60 T=5 T (T1)+60 (T1) 5T2+5T+60=0 5T25T60=0 5 ...  prime number 60=2235 GCD(5,5,60)=5  T2T12=0  a=1;b=1;c=12 D=b24ac=1241(12)=49 D>0  T1,2=2ab±D=21±49 T1,2=21±7 T1,2=0.5±3.5 T1=4 T2=3  T=T1=4 min  x=T60=460=15

Our quadratic equation calculator calculates it.




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