A ship is sailing due to east at
when it passes the light house and
At the same time a ship is sailing due to west at
when it passes a point.
The two ships are
apart
Draw a diagram planes are travelling by north and south.
\
Let time is
both are travells same time.
Where
is number of hours untill the ship travelling distance.
Find time
.
Distance formula:
.
Let time
is number of hours untill they travelling distance
apart.
Make a table:
\| Ships directions | \![]() | \
![]() | \
![]() | \
| East | \ ![]() | \
![]() | \
![]() | \
| West | \![]() | \
![]() | \
![]() | \
Solve the equation.
\Distance traveled by first ship plus distance traveled by second ship equals
.
.
(Original equation)
(Simplify)
(Divide each side by
)
(Simplify)
Threfore, the two ships are
apart after
.
The two ships are
apart after
.