Answer:
Average Speed of Container ships is 8 km/h.
Step-by-step explanation:
Let the Average speed of container ship be 'x'
Now Given:
An aircraft Carrier left 0.7 hours later traveling 1.4 km/h faster in an effort to catch up to it.
Hence speed of aircraft carrier = ![x+1.4](https://tex.z-dn.net/?f=x%2B1.4)
After four hours the aircraft carrier finally caught up container ship.
Hence Total time taken by aircraft = 4 hrs.
Since aircraft left after 0.7 hours and after 4 hours it caught the container ship.
Hence time taken by Container ship = 4 + 0.7 = 4.7 hrs.
Now we will find the Distance traveled by both.
Distance can be calculated by product of time and speed.
Distance of aircraft = ![4(x+1.4)= 4x+4\times 1.4 = 4x+5.6](https://tex.z-dn.net/?f=4%28x%2B1.4%29%3D%204x%2B4%5Ctimes%201.4%20%3D%204x%2B5.6)
Distance of container ship = ![4.7x](https://tex.z-dn.net/?f=4.7x)
Since both of them are at same place hence distance travveled by both would be similar.
Hence,
Distance of aircraft = Distance of container ship
Substituting the values we get;
![4x+5.6=4.7x\\\\4.7x-4x=5.6\\\\0.7x=5.6\\\\x=\frac{5.6}{0.7}= 8\ km/h](https://tex.z-dn.net/?f=4x%2B5.6%3D4.7x%5C%5C%5C%5C4.7x-4x%3D5.6%5C%5C%5C%5C0.7x%3D5.6%5C%5C%5C%5Cx%3D%5Cfrac%7B5.6%7D%7B0.7%7D%3D%208%5C%20km%2Fh)
Hence Average Speed of Container ships is 8 km/h.