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A container ship left the Dania Pier and traveled toward St. Vincent. An aircraft carrier left six hours later traveling 9 km/h faster in an effort to catch up to it. After four hours the aircraft carrier finally caught up. Find the container ship's average speed.

Answer :

Answer:

6 km/hr

Step-by-step explanation:

Let [tex]v_1[/tex] and [tex]t_1[/tex] be the average speed and the time of travel of the container ship, and [tex]v_2[/tex] and [tex]t_2[/tex] be the average speed and the time of travel of the aircraft carrier.

As the aircraft carrier left 6 hours later traveling 9 km/h faster in an effort to catch up to it and after 4 hours the aircraft carrier finally caught up.

[tex]v_2=v_1 +9[/tex]

[tex]t_2= 4[/tex] hr

and [tex]t_1-t_2=6+t_2=6+4=10[/tex] hr

As the distance covered by both is same, so

[tex]v_1t_1=v_2t_2[/tex]

[tex]\Rightarrow v_1\times 10= (v_1+9)4[/tex]

[tex]10v_1=4v_1+36[/tex]

[tex]6v_1=36[/tex]

[tex]v_1=6[/tex] km/hr

Hence, the speed of the container ship is 6 km/hr.

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