A submarine starts moving down in water at the rate of $ 7 \mathrm{m} / \mathrm{min} $. If the descent starts from $ 10 \mathrm{m} $ above a depth of 60 m, how will this distance be represented? How much time will the submarine take to reach this level?
Given: A submarine starts moving down in the water at a rate of 7m/min, it starts descending from 10m/min above a depth of 60m
To Do: Find the time which will be taken by the submarine to reach the level of 10m
Solution:
Depth of $60m = -60m$
The descent of the submarine starts at 10 m
above a depth of 60m which is a depth of 50m or
-50m.
The distance the submarine has to travel is
$-60 - (-50) = -60 = 50 = -10$m meaning it has to
descend a depth of 10 m
Time taken to travel this distance of 10m
= $\frac{Distance}{speed} = \frac{10}{7}$
= 1$\frac{3}{7}$ min = 1. 43 minutes
Related Articles An elevator descends into a mine shaft at the rate of $6\ m/min$. If the descent starts from $10\ m$ above the ground level, how long will it take to reach $-350\ m$.
An elevator descends into a mine shaft at the rate of 6 m/min. The descent starts from 10 m above the ground level. How long will it take to reach $-$350 m?
An elevator descends into a mine shaft at the rate of 6 m/min. If the descent starts at 10 m above ground level, how long will it take to reach -350m?
A submarine was floating at a depth of \( 640 \mathrm{~m} \) below the sea level. If it ascends 230 metres, what will be its new position? Express the position in terms of depth.
A river \( 3 \mathrm{~m} \) deep and \( 40 \mathrm{~m} \) wide is flowing at the rate of \( 2 \mathrm{~km} \) per hour. How much water will fall into the sea in a minute?
A farmer runs a pipe of internal diameter \( 20 \mathrm{~cm} \) from the canal into a cylindrical tank in his field which is \( 10 \mathrm{~m} \) in diameter and \( 2 \mathrm{~m} \) deep. If water flows through the pipe at the rate of \( 3 \mathrm{~km} / \mathrm{h} \), in how much time will the tank be filled?
A submarine left the surface of the water at the rate of $-6$ feet per second. At that rate, how long would it take the submarine to reach $-180$ feet level?
A river 3 m deep and \( 40 \mathrm{~m} \) wide is flowing at the rate of \( 2 \mathrm{~km} \) per hour. How much water will fall into the sea in a minute?
Water flows at the rate of \( 15 \mathrm{~km} / \mathrm{hr} \) through a pipe of diameter \( 14 \mathrm{~cm} \) into a cuboidal pond which is \( 50 \mathrm{~m} \) long and \( 44 \mathrm{~m} \) wide. In what time will the level of water in the pond rise by \( 21 \mathrm{~cm} \)?
An elevator goes down at the rate of 4 m per minute. If it starts going down from a height of 15 m above the ground level, find the time taken by the elevator to reach 165 m below the ground level.(Consider the distance above the ground level to be a positive integer and that below the ground level by a negative integer)
A man starts walking from point \( A \) and reaches point \( \mathrm{D} \). From \( \mathrm{A} \) he walks towards north for \( 800 \mathrm{~m} \) to reach point \( \mathrm{B} \). From \( \mathrm{B} \) he walks towards east for \( 500 \mathrm{~m} \) to reach point C. From \( \mathrm{C} \) he again walks towards north for \( 400 \mathrm{~m} \) to reach point \( D \). Find the direct distance between points \( \mathrm{A} \) and \( \mathrm{D} \).
A cylindrical tank full of water is emptied by a pipe at the rate of 225 litres per minute. How much time will it take to empty half the tank, if the diameter of its base is \( 3 \mathrm{~m} \) and its height is \( 3.5 \mathrm{~m} \)? [Use \( \pi=22 / 7] \).
Find the cost of digging a cuboidal pit \( 8 \mathrm{~m} \) long, \( 6 \mathrm{~m} \) broad and \( 3 \mathrm{~m} \) deep at the rate of Rs. 30 per \( \mathrm{m}^{3} \).
The inner diameter of a circular well is \( 3.5 \mathrm{~m} \). It is \( 10 \mathrm{~m} \) deep. Find(i) its inner curved surface area,(ii) the cost of plastering this curved surface at the rate of Rs. \( 40 \mathrm{per} \mathrm{m}^{2} \).
A village, having a population of 4000 , requires 150 litres of water per head per day. It has a tank measuring \( 20 \mathrm{~m} \times 15 \mathrm{~m} \times 6 \mathrm{~m} \). For how many days will the water of this tank last?
Kickstart Your Career
Get certified by completing the course
Get Started