A scuba diver dove 80 feet deep into the water. After that, he swam towards the water surface at the rate of 3 feet per minute. If the water surface is represented by zero, which of the following integers represents the position of the diver from the surface of the water after 20 minutes?
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Working out:
The above is based upon coordinating the geometry in our day-to-day life. Here, we have to consider some lengths in the form of coordinates. We have to imagine the origin and calculate others by relating the coordinates.
GiveN:
- Scuba diver is 80 ft. deep inside the water.
- His speed is 3 ft. per minute.
- He travelled for 20 minutes
- Water surface is taken as origin or 0
And we have to find the final stop of the scuba diver as compared to the surface.
Here, let's consider
- Water Surface as 0.
- Above the water is +ve
- Below the water is -ve.
Coming to the scuba diver:
- Initial distance from water surface = 80 ft.
- Speed of the diver = 3 ft. per minute
- Time taken = 20 minutes
Finding distance covered,
⇛ Distance = Speed × Time
⇛ Distance = 3 ft. / minute × 20 mins
⇛ Distance = 60 ft.
So, he comes 60 ft. up from the point. So, now he is 80-60 = 20 ft. below the water surface. Below the surface is taken negative, So the integer representation of the position of the diver:
And we are done !!
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