SOLUTION: A professional cyclist travels 60km at an average speed of x km/hr
Write down an expression in x to represent the time taken for this journey
On the return journey the cyclist
Algebra.Com
Question 698780: A professional cyclist travels 60km at an average speed of x km/hr
Write down an expression in x to represent the time taken for this journey
On the return journey the cyclist travelled at an average speed 5 km/hr slower
Write down an expression in x to represent the time taken for this journey
If the difference between the travelling times for both journeys was 2 hours write down an equation in terms of x to represent this and solve it to find x
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A professional cyclist travels 60km at an average speed of x km/hr
Write down an expression in x to represent the time taken for this journey
:
On the return journey the cyclist travelled at an average speed 5 km/hr slower
Write down an expression in x to represent the time taken for this journey
;
If the difference between the travelling times for both journeys was 2 hours write down an equation in terms of x to represent this and solve it to find x
- = 2
multiply x(x-5), resulting in:
60x - 60(x-5) = 2x(x-5)
:
60x - 60x + 300 = 2x^2 - 10x
A quadratic equation
0 = 2x^2 - 10x - 300
Simplify divide by 2
x^2 - 5x - 150 = 0
factors to:
(x-15)(x+10) = 0
the positive solution is all we want here
x = 15 km/hr
:
:
:
See if that checks out find the time at each speed
60/10 = 6 hrs
60/15 = 4 hrs
--------------
dif of: 2 hrs
RELATED QUESTIONS
A cyclist rides D km at a rate of X km/hr and returns D km at a rate of Y km/hr. Write... (answered by stanbon)
A cyclist travels from town X to town Y at an average speed of 10km/hr and then travels... (answered by josgarithmetic)
A cyclist starts at 09 : 23 am on a 24 km journey. At what time will the
cyclist... (answered by checkley77)
An airplane traveled a distance of 400 km at an average speed of x km/h. Write down an... (answered by mananth)
Please help me solve this problem?
"Bob cycles along a road
He cycles 60km at an... (answered by ewatrrr,richwmiller)
2.mr. ong makes regular business trips to kaulalumpur a distance of 420 km from singapore (answered by mananth)
A car leaves town X for town Y 120 km away at an average speed of 80 km/hr at 8:30 a.m.... (answered by Boreal)
A car travels 20km / h faster than a cyclist. The car takes one hour less than the... (answered by ankor@dixie-net.com)
1.a certain number of matches are needed to fill 24 boxes with each boxes containing the... (answered by ankor@dixie-net.com)