A cyclist is travelling with a speed of .
At the same and same starting point an inline skater follows the cyclists path.
\A inline skater is travelling with a speed of . \ \
Draw a diagram
\Let time is both are travells same time.
Where is number of hours untill they travelling distance.
Find time at which the cyclist and the skater will be
apart. \ \
Distance formula : .
Let time be number of hours at which they are
apart.
Make a table:
\Travellers | \![]() | \
![]() | \
![]() | \
Cyclist | \ ![]() | \
![]() | \
![]() | \
Inline skater | \![]() | \
![]() | \
![]() | \
Solve equation.
\Distance travelled by an cyclist minus Distance travelled by an inline skater equals .
.
(Original equation)
(Simplify)
(Divide each side by
)
(Simplify)
Therefore, they are travelling apart after
.
They are travelling apart after
.