Answer:
the speed of the bicyclist heading south 14
the speed of the bicyclist heading north 20
Step-by-step explanation:
Let x is the speed of the bicyclist heading south
Let x+6 is the speed of the bicyclist heading north
Because, they are heading in opposite directions, so the relative speed is:
x + x + 6 = 2x+6
- Start time: 9:00 until 10:15 is 1 hour and 15 mins = 1\(\frac{15}{60}\)= \(\frac{5}{4}\)
- they are 42.5 km apart, that is the distance between them
As we know:
\(\dfrac{Distance}{time}=Speed\)
<=> \(\dfrac{42.5}{\dfrac{5}{4}}=2x+6\)
<=> 170 = 10x + 30
<=> x = 14 km/hour
=> Speed of bicyclist heading north would be 14+6=20 km/hr
Hope it will find you well.
