SOLUTION: A biker decided to cover the distance of 120 km at a certain speed. However, he actually went 6 km/h slower so he arrived at his destination 1 hour later than he wanted to. What wa
Algebra.Com
Question 1019566: A biker decided to cover the distance of 120 km at a certain speed. However, he actually went 6 km/h slower so he arrived at his destination 1 hour later than he wanted to. What was the actual speed of the biker? What is the equation?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A biker decided to cover the distance of 120 km at a certain speed.
However, he actually went 6 km/h slower so he arrived at his destination 1 hour later than he wanted to.
What was the actual speed of the biker?
:
let s = actual speed of the biker
He went 6 km/hr slower, therefore
(s+6) = speed he intended to travel
:
Write a time equation time = dist/speed
:
Actual time - intended time = 1 hrs
- = 1
multiply equation by s(s+6)
s(s+6)* - s(s+6) = 1s(s+6)
cancel the denominators
120(s+6) - 120s = s^2 + 6s
120s + 720 - 120s = s^2 + 6s
Form a quadratic equation on the right
0 = s^2 + 6s - 720
You can use the quadratic formula; a=1; b=6; c=-720, but this will factor to
(s+30)(s-24) = 0
the positive solution;
s = 24 km/hr actual speed
:
:
Confirm this solution; find the actual time at each speed
120/24 = 5 hrs
120/30 = 4 hrs
---------------
differs: 1 hr
RELATED QUESTIONS
A biker decided to cover the distance of 120 km at a certain speed. However, he actually... (answered by ikleyn,mananth,josgarithmetic,josmiceli,MathTherapy)
A group of tourists were supposed to cover an 18 km distance in a certain amount of time. (answered by josgarithmetic)
a biker can travel at a speed of x km/h over a distance of 15km. if the biker reduces his (answered by mananth)
https://www.google.com/search?client=safari&hl=en-us&biw=375&bih=559&q=a+group+of+tourists (answered by ikleyn)
A biker completed a trip from town A to town B. If he rode 3 km per hour faster, then he... (answered by ankor@dixie-net.com)
A man drives a car a distance of 200 km at an average speed of 44 km/h. What must be his... (answered by Edwin McCravy)
To cover 14 km distance , anubhav cycles at a certain average speed. If he reduces his... (answered by stanbon)
A bicyclist started on his trip from city A to city B. In 1 hour and 36 minutes, a biker... (answered by ankor@dixie-net.com)
A man covers distance of 120 km from town A to Town B at an average speed x km/h. If he... (answered by josgarithmetic)