Kilometers 6535

Two cyclists rode from Prague to Poděbrady. Determine the average speed of each of them if you know that they traveled 56 km and that the slower one lost two kilometers to the faster one every hour so that he arrived in Poděbrady 30 minutes later.

Correct answer:

a =  16 km/h
b =  14 km/h

Step-by-step explanation:

56 = at 56 = b(t+30/60) a = 2+b  56 = (a2)(56/a+30/60) 56a=(a2)(56+0.5a)  0.5a2+a+112=0 0.5a2a112=0  p=0.5;q=1;r=112 D=q24pr=1240.5(112)=225 D>0  a1,2=2pq±D=11±225=1±151 a1,2=1±15 a1=16 a2=14  a=a1=16=16 km/h

Our quadratic equation calculator calculates it.

b=a2=162=14 km/h



Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?
Do you want to convert velocity (speed) units?
Do you want to convert time units like minutes to seconds?

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

Related math problems and questions: