A submarine was floating on the water. It went under the water at a rate of 0.5m/second for 3 minutes. It then started to rise towards the surface at a rate of 0.7m/second for 1.5 minutes. What is the depth of the submarine?
The hint my teacher gave me was: make sure your working in minutes or seconds. Also draw a picture or use logic.
Have you drawn the picture?
How far have you gotten in solving this problem?
I tried drawing the picture and I have tried solving the problem but obviously I cant figure it out and that's why im asking for help :/
It went under the water at a rate of 0.5m/second for 3 minutes.
0.5 * 180 = 90 meters in 3 minutes
It then started to rise towards the surface at a rate of 0.7m/second for 1.5 minutes.
0.7 * 90 = 63 meters in 1.5 minutes
What is the depth of the submarine?
90 - 63 = 27 meters
Ms.Sue is right
I would agree with her! :)
Oh thank you so much Ms. Sue and sorry for being a little rude :)
You're very welcome, Spike. :-)
To find the depth of the submarine, we need to first calculate the total distance it traveled while diving and rising.
Step 1: Convert the time from minutes to seconds to ensure consistent units.
- 3 minutes = 3 * 60 = 180 seconds (diving)
- 1.5 minutes = 1.5 * 60 = 90 seconds (rising)
Step 2: Calculate the distance traveled while diving.
- The submarine went underwater at a rate of 0.5m/second for 180 seconds, so the distance covered while diving is:
Distance_diving = rate_diving * time_diving
Distance_diving = 0.5m/second * 180 seconds = 90 meters
Step 3: Calculate the distance traveled while rising.
- The submarine rose towards the surface at a rate of 0.7m/second for 90 seconds, so the distance covered while rising is:
Distance_rising = rate_rising * time_rising
Distance_rising = 0.7m/second * 90 seconds = 63 meters
Step 4: Calculate the depth of the submarine.
- The depth is equal to the distance traveled while diving minus the distance traveled while rising:
Depth = Distance_diving - Distance_rising
Depth = 90 meters - 63 meters
Depth = 27 meters
Therefore, the depth of the submarine is 27 meters.