Download App

Direct and Inverse Proportion — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSDirect and Inverse Proportion5 Marks
Question
The table shows the time four elevators take to travel various distances. Find which elevator is fastest and which is slowest.
  Distance (m) Time (sec.)
Elevator $- A$ $435$ $29$
Elevator $- B$ $448$ $28$
Elevator $- C$ $130$ $10$
Elevator $- D$ $85$ $5$
How much distance will be travelled by elevators $B$ and $C$ seperately in $140$sec? Who travelled more and by how much?
✓

Answer

Elevator $A$ takes $29$ sec to cover $435m$ Distance covered by elevator $A$ in $=\frac{435}{29}=15\text{ m}$
Elevator $B$ takes $28\ s$ to cover $448m$ Distance covered by elevator $B$ in $1\ s$ $=\frac{448}{28}=16\text{m}$
Elevator $C$ takes $10\ s$ to cover $130m$ Distance covered by elevator $C$ in $1\ s$ $ =\frac{130}{1} =13\text{m}$
Elevator $D$ takes $5\ s$ to cover $85m$ Distance covered by elevator $D$ in $1\ s$ $=\frac{95}{5}=17\text{m}$
Elevator $D$ is fastest, while $C$ covers least.
Hence, elevator $C$ is slowest.
Elevator $B$ covers distance is $140\ s = 140 \times 16 = 2240\ m$
Elevator $C$ covers distance in $140\ s = 140 \times 13 = 1820\ m$
Elevator $B$ covers more distance than $C = 2240 − 1820 = 420\ m$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "5 Marks Questions" from Direct and Inverse Proportion→Direct and Inverse Proportion — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

Diagonals of a parallelogram $ABCD$ intersect at $O$. $AL$ and $CM$ are drawn perpendiculars to $BD$ such that $L$ and $M$ lie on $BD$. Is $AL = CM$? Why or why not?
→
Solve the following equation and verify your answer: $\frac{9\text{x}-7}{3\text{x}+5}=\frac{3\text{x}-4}{\text{x}+6}$
→
Find the product $ -3 y\left(x y+y^2\right) $ and find its value for $x = 4$ and $y = 5.$
→
Construct a quadrilateral $ABCD$, where $AB = 5.5\ cm, BC = 3.7\ cm,$$\angle\text{A}=60^\circ,$ $\angle\text{B}=105^\circ$ and $\angle\text{D}=90^\circ$
→
Construct a quadrilateral $ABCD$ in which $BC = 7.5\ cm, AC = AD = 6\ cm, CD = 5\ cm$ and $BD = 10\ cm$.
→
Devangi’s phone subscription charges for the period $17-02-09$ to $16-03-09$ were as follows :
Period
Amount (in Rs.)
Service Tax $\%$
$17-02-09$ to $23-02-09$
$199.75$
$12$
$24-02-09$ to $16-03-09$
$599.25$
$10$
Find the final bill amount if $3\%$ education cess was also charged on service tax.
→
A shopkeeper alllows his custmers $10\%$ off on the marked price of goods and still gets a profit of $25\%$. What is the actual cost to him of an article marked $Rs. 250$?
→
Resolve each of the following quadratic trinomial into factor:
$11x^2- 54x + 63$
→
A solid cube of metal each of whose sides measures $2.2\ cm$ is melted to form a cylindrical wire of radius $1\ mm$. Find the length of the wire so obtained.
→
To collect rain water, Aditya made a cubical tank which can hold $91125\text{ m}^3$ water. He uses this water for watering the plants of his garden.
(i) What is the height of the tank?
(ii) What value is depicted here?
→