A submarine was cruising at a depth of 153 m. It then rose at 4.5 m/min for 15 min.
What was the submarine's depth at the end of this rise?
If the submarine continues to rise at the same rate, how much longer will it take to reach the surface?
At the end of the rise it is at 85.5 m.
It will take ABOUT 38 minutes to reach the surface.
To solve this question, we need to calculate two things:
1. The submarine's depth at the end of the rise.
2. The additional time it will take for the submarine to reach the surface.
1. Calculating the submarine's depth at the end of the rise:
The submarine initially was cruising at a depth of 153 m. It then rose at a rate of 4.5 m/min for 15 min. We can find the total distance the submarine rose by multiplying the rate (4.5 m/min) by the time (15 min) it took to rise.
Total distance = rate * time
Total distance = 4.5 m/min * 15 min
Total distance = 67.5 m
The submarine's depth at the end of the rise is the initial depth minus the total distance it rose.
Submarine's depth at the end of the rise = 153 m - 67.5 m
Submarine's depth at the end of the rise = 85.5 m
Therefore, the submarine's depth at the end of the rise is 85.5 m.
2. Calculating the additional time it will take for the submarine to reach the surface:
The original depth of the submarine was 153 m, and it rose 67.5 m during the 15-minute rise. So, the remaining depth to reach the surface is the initial depth minus the distance it rose.
Remaining depth to reach the surface = 153 m - 67.5 m
Remaining depth to reach the surface = 85.5 m
To find out how long it will take to reach the surface at the same rate, we divide the remaining depth by the rise rate.
Time to reach the surface = Remaining depth to reach the surface / rate
Time to reach the surface = 85.5 m / 4.5 m/min
Time to reach the surface = 19 min
Therefore, it will take an additional 19 minutes for the submarine to reach the surface at the same rate.