A ship leaves a port at 12:00 Noon and sails East at speed of 10 miles/hour. Another ship leaves
the same port at 1:00 PM and sails North at a speed of 20 miles/hour. At what time are the two
ships going to be 50 miles apart from each other? (Hint: Distance = Speed * Time)
To find the time at which the two ships are 50 miles apart, we can use the formula Distance = Speed * Time.
Let's assume that the ships are 50 miles apart at time t.
For the first ship, which is sailing East at a speed of 10 miles/hour, we can calculate the distance it covers by multiplying its speed by the time it takes to reach the point where it is 50 miles apart from the second ship:
Distance covered by first ship = Speed of first ship * Time = 10 * t
For the second ship, which is sailing North at a speed of 20 miles/hour, we can calculate the distance it covers by multiplying its speed by the time it takes to reach the point where it is 50 miles apart from the first ship:
Distance covered by second ship = Speed of second ship * Time = 20 * (t - 1)
The two ships are 50 miles apart when the sum of the distances covered by each ship is equal to 50:
Distance covered by first ship + Distance covered by second ship = 50
10t + 20(t - 1) = 50
Simplifying the equation:
10t + 20t - 20 = 50
30t - 20 = 50
30t = 70
t = 70/30
t ≈ 2.33
Therefore, the two ships will be 50 miles apart at approximately 2 hours and 20 minutes past 1:00 PM, which is around 3:20 PM.