a coast guar ship left a port at 30 mph. four hours later a helicopter was dispatched at 90 mph to intercept the ship. how long will it take the helicopter to catch the ship?

4(30) + 30x = 90x

Solve for x.

Finding by ratio as follow

ship 30 mph
total distant in 4 hours is 30*4=120 mph

helicop 90 mph

so ratio
MPH DISTANT MPH DISTANT
120 4 90 X

120*X = 360
X = 360/120
X = 3

SO X = 4-3
X = 1 HOUR THE HALI WILL CATCH THE SHIP

YOURS EQUATION 4(30) + 30x = 90x IS NOT CORRECT COZ THE SOLUTION LL BE 120=90X-30X
120=60X
60X=120
X=120/60
X=2 MEANS THAT THE THE SHIP IS HALF SPEED OF HALI WHICH IS NOT CORRECT.

To find out how long it will take the helicopter to catch the ship, we first need to determine the distance covered by the ship during those four hours.

The formula to calculate the distance is:

Distance = Speed × Time

Since the ship is moving at a constant speed of 30 mph, we can use this formula to find the distance the ship covers in four hours:

Distance = 30 mph × 4 hours = 120 miles

Now that we know the distance that the ship covers in the four hours before the helicopter is dispatched, we can find out how long it takes for the helicopter to catch up with the ship.

The relative speed between the helicopter and the ship is the difference in their speeds:

Relative Speed = Helicopter Speed - Ship Speed
Relative Speed = 90 mph - 30 mph = 60 mph

Since both the helicopter and the ship are traveling in the same direction, the helicopter needs to cover the same distance as the ship (120 miles) to catch up to it. So we can calculate the time it will take for the helicopter to catch the ship using the formula:

Time = Distance / Relative Speed

Time = 120 miles / 60 mph = 2 hours

Therefore, it will take the helicopter 2 hours to catch up with the ship.