Question

A diver is exploring the water of the great barrier reef.

(A) she is currently -5 feet from the surface of water and plans to explore a shipwreck that is at -75 feet from the surface.if she moves at a rate of -8 feet per minute how many minutes does it take the diver to reach the ship wreck?
(B) when she is done exploring the reef,she ascends at a rate of 5 feet per minute.once she reaches a height of -30 feet,she must rest for 15 minutes to allow her body to adapt to the changing water pressure.she then continues to the surface at the same rate.how long will it take the diver to reach the surface.?

Answer 1

Explanation:

A) the distance of the diver from the shipwreck is -70 feet since he is already - 5 feet below the surface.

Time = distance/speed

If she moves at a rate of -8 feet per minute, then the time it will take the diver to reach the ship wreck would be

- 70/-8 = 8.75 minutes.

B) At the shipwreck, total distance of the diver from the surface is - 75 feet. she ascends at a rate of 5 feet per minute. Once she reaches a height of -30 feet. Therefore, time take to ascend - 30 feet would be

- 30/-5 = 6 minutes

She rests for 15 minutes before ascending - 30 feet again.

Time spent before ascending the next -30 feet would be

6 + 15 = 21 minutes.

Next - 30 feet, he would spend 21 minutes.

Total distance covered and time spent would be -60 feet and 42 minutes.

Distance remaining would be - 15 feet. Time spent to cover - 15 feet would be

- 15/ - 5 = 3 minutes.

Total time taken by the diver to reach the surface would be

42 + 3 = 45 minutes.