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svetoff [14.1K]
2 years ago
8

It takes a ship 4 hours to cover 420 km with the current and 6 hours against the current. Find the speed of the ship in still wa

ter and the speed of the current.
Mathematics
1 answer:
KiRa [710]2 years ago
3 0
Let s be the speed of the ship, and c be the speed of the current. 

We know that distance equals speed multiplied by the time. 

With the current
     \left(s+c\right)\left(4\:hours\right)=420\:km
     or
     s+c=105
This is our first equation.

Now, against the current, we have
     \left(s-c\right)\left(6\right)=420
     or
     s-c=70
This is our second equation. 

We solve the equations simultaneously, by adding them together
     2s-0c=175

     s=87.5\:km/hr

Substitute s=87.5 to the first equation to solve for c.
     87.5+c=105

     c=17.5\:km/hr

The speed of the ship is 87.5 km/hr and the speed of the current is 17.5 km/hr. 
     
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