A ship started sailing 42.58 degrees west of south at the rate of 5 kph. after 2 hours, ship B started at the same port going 46.33 degrees west of north at the rate of 7 kph. after how many hours will the second ship be exactly north of ship A?
I did this one already, but your typo made it work out wrong. You have fixed the typo, so just change the 15 to 5, and work it out. What do you get?
To figure out how many hours it will take for the second ship to be exactly north of ship A, we need to determine the time it takes for the second ship to travel the same distance south that the first ship traveled west.
Let's break down the problem into components:
1. First Ship's Distance Traveled:
The first ship started sailing 42.58 degrees west of south at a rate of 5 kph. After 2 hours, we need to calculate how far it traveled south.
Distance = Rate × Time
Distance = 5 kph × 2 hours
Distance = 10 km
Therefore, the first ship has traveled 10 km south.
2. Second Ship's Distance Traveled:
Now we need to determine how long it will take for the second ship to travel the same distance to the south, which is 10 km. The second ship started at the same port and is traveling 46.33 degrees west of north at a rate of 7 kph.
Distance = Rate × Time
Time = Distance / Rate
Time = 10 km / 7 kph
Time ≈ 1.43 hours
Therefore, it will take approximately 1.43 hours for the second ship to travel the same distance south as the first ship.
3. The Time to be Exactly North:
To calculate the total time it will take for the second ship to be exactly north of the first ship, we need to consider the 2 hours it took for the first ship to sail.
Total Time = First Ship's Time + Second Ship's Time
Total Time = 2 hours + 1.43 hours
Total Time ≈ 3.43 hours
Therefore, it will take approximately 3.43 hours for the second ship to be exactly north of the first ship.