Solve the system using substitution
1 answer:
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Answer:
18 kmh
Step-by-step explanation:
Given: Speed of cyclist is 9 km/h more than skater´s speed.
Distance covered at the given time by cyclist is 45 km and by skater is 30 km.
Let´s assume the speed of skater be "x"
∴ Speed of cyclist will be
Remember; time=
We know the time taken by both cyclist and skater are same.
∴ we can form an equation to find the speed of skater.
Time taken by cyclist= time taken by skater
⇒
Multiplying both side by
⇒
Using distributive property of multiplication
⇒
Subtracting both side by 30x
⇒
Dividing both side by 15
⇒
∴
Hence, speed of the skater is 18 kmh