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
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Write down an expression in x to represent the time taken for this journey
On the return journey the cyclist
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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
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dif of: 2 hrs
