Question 1148982
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The other tutor has shown a perfectly good method for solving the problem.<br>
Here is a completely different alternative method.<br>
This alternative is in no way any "better" than the other; it simply shows you that there are (nearly always) many different ways for setting up problems to be solved.<br>
If you want to be good at solving problems, you should understand how both methods are valid.<br>
The speed of the car is 3 times the speed of the cyclist.<br>
Since the distances are the same, the time required by the cyclist is 3 times the time required by the car.<br>
Let the time for the car be x; then the time for the cyclist is 3x.<br>
The difference between the times is 2x; and we know that difference is 5 hours.<br>
{{{2x=5}}}
{{{x = 2.5}}}<br>
The time for the car is x=2.5 hours; the time for the cyclist is 3x = 7.5 hours.<br>
The distance is 225km; so the speed of the car is 225/2.5 = 90km/hr, and the speed of the cyclist is 225/7.5 = 30km/hr.<br>