Answer:
The distance travels in going east is 48 miles.
Step-by-step explanation:
Speed of ship while traveling in east = 12 miles/hour.
Speed of ship while travelling in south = 18 miles/hour.
The total distance covered by ship = 156 miles.
The total time taken by ship to cover 156 miles = 10 hours.
Let the distance traveled by ship in east = ' x ' miles.
So the distance covered by ship in south = ( 156 - x ) miles.
Let the time taken by ship to cover ' x ' miles in east is ' t ' hour.
So the time taken by ship to cover " 156 - x " miles = " 10 - t " hour.
We know the formula,
[tex]time = \frac{distance}{speed}[/tex]
t + ( 10 - t ) = 10 hour.
[tex]\frac{x}{12} +\frac{156 - x}{18}[/tex] = 10
[tex]\frac{3x + 312 - 2x}{36} = 10[/tex]
x + 312 = 360
x = 48 miles.
So the distance travels in going east is 48 miles.
