Question

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?

Answer 1

Answer:

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

$\frac {113.4}{9}=12.6 mph= x-1.9\\x=14.5 mph$

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 $\frac {113.4}{16.4}=6.9146341463414 hrs\approx 6.91\ hours$

Answer 2

Answer:

6.91 hours

Step-by-step explanation:

hope this is right