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The tempurs next 6 hours.
A diver was 5 feet below sea level. He dove deeper at a rate of
53//8 feet per minute. What was the diver's elevation after 7 minutes?

$3$ . The tempurs next $6$ hours. $\newline$ $4$ . A diver was $5$ feet below sea level. He dove deeper at a rate of $53 / 8$ feet per minute. What was the diver's elevation after $7$ minutes?

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Rate of travel: word problems

Full solution

Q.

3

. The tempurs next

6

hours.

\newline

4

. A diver was

5

feet below sea level. He dove deeper at a rate of

53 / 8

feet per minute. What was the diver's elevation after

7

minutes?

Start Depth: The diver starts $5$ feet below sea level.
Diving Rate: The diver dives deeper at a rate of $\frac{53}{8}$ feet per minute.
Calculate Total Distance: Calculate the total distance the diver dives in $7$ minutes. $\newline$ Total distance $= \text{Rate} \times \text{Time} = \left(\frac{53}{8}\right) \text{feet/minute} \times 7 \text{minutes}.$
Perform Multiplication: Perform the multiplication to find the total distance. $\newline$ Total distance = $(\frac{53}{8}) \times 7 = 53 \times (\frac{7}{8}) = \frac{371}{8}$ feet.
Add Initial Depth: Add the initial depth to the total distance dived to find the diver's elevation after $7$ minutes. $\newline$ Diver's elevation $=$ Initial depth $+$ Total distance dived.
Calculate Elevation: Calculate the diver's elevation. $\newline$ Diver's elevation = $-5 + \frac{371}{8}$ feet.

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