For a ship moving against the current, it takes 9 hours to cover a distance of 113.4 miles. how much does it take this ship to return if the rate of the current is 1.9 mph?

6.91 hours

Step-by-step explanation:

Let x be the speed of ship, whether with or without current.

When against current speed will be x-1.9 mph

When flowing as per current, speed will be x+1.9 mph

Distance is constant

Speed when against current will be

When on return trip, it flows with current hence speed will be x+1.9=14.5+1.9=16.4 mph

Time taken will be

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.