Problema Solution

a ship leaves a dock moving 24 miles/hour. Three hours later, a second shop sets out from the sam dock at 32miles/hour. How long will it take for the second ship to overtake the first?

Answer provided by our tutors

Let

v1 = 24 mph the rate of the first ship

v2 = 32 mph the rate of the second ship

t + 3 = the time of the first ship

t = the time of the second ship

We use the formula distance = speed*time:

v1*(t + 3) = v2t

24(t + 3) = 32t

........

click here to see the equation solved for t

........

t = 9 hr

It will take 9 hours for the second ship to overtake the first.