Register

GATE Mechanical 2022 Set 1 | GA Question: 3

• edited by
1 votes
1 votes

A person travelled $80$ $\text{km}$ in $6$ hours. If the person travelled the first part with a uniform speed of $10$ $\text{kmph}$ and the remaining part with a uniform speed of $18$ $\text{kmph}$.

What percentage of the total distance is travelled at a uniform speed of $10$ $\text{kmph}$?

  1. $28.25$
  2. $37.25$
  3. $43.75$
  4. $50.00$
• edited by
User Avatar

1 Answer

Best answer
1 votes
1 votes

Let the distance traveled (first part) by the person at a uniform speed of $10$ kmph be $x$ km.


We know that, ${\color{Green}{\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}}}$

$\implies {\color{Lime}{\boxed{\text{Time} = \dfrac{\text{Distance}}{\text{Speed}}}}}$

Now, $\dfrac{x}{10} + \dfrac{(80-x)}{18} = 6$

$\Rightarrow \dfrac{18x + 800 – 10x}{180} = 6$

$\Rightarrow 8x = 1080- 800$

$\Rightarrow 8x = 280$

$\Rightarrow {\color{Blue}{\boxed{x = 35\;\text{km}}}}$

$\therefore$ The percentage of the total distance is traveled at a uniform speed of $10$ kmph $ = \dfrac{35}{80} \times 100\% = 43.75\%.$

Correct Answer $:\text{C}$

• selected by
User Avatar
← PreviousNext →
← Previous in categoryNext in category →
Answer:

Related questions

1 answers
1 votes
Arjun asked Feb 15, 2022
GATE Mechanical 2022 Set 1 | GA Question: 2
The average of the monthly salaries of $\text{M, N}$ and $\text{S}$ is ₹$4000$. The average of the monthly salaries of $\text{N, S}$ and $\text{P}$ is ₹$5000$. The monthly salary of $\text{P}$ is ₹$6000$. What is the monthly salary of $\text{M}$ as a percentage of the monthly salary of $\text{P}?$ $50\%$ $75\%$ $100\%$ $125\%$
The average of the monthly salaries of $\text{M, N}$ and $\text{S}$ is ₹$4000$. The average of the monthly salaries of $\text{N, S}$ and $\text{P}$ is ₹$5000$. The mo...
1 answers
1 votes
Arjun asked Feb 15, 2022
GATE Mechanical 2022 Set 1 | GA Question: 7
A rhombus is formed by joining the midpoints of the sides of a unit square. What is the diameter of the largest circle that can be inscribed within the rhombus? $\dfrac{1}{\sqrt{2}}$ $\dfrac{1}{2\sqrt{2}}$ $\sqrt{2}$ $2 \sqrt{2}$
A rhombus is formed by joining the midpoints of the sides of a unit square.What is the diameter of the largest circle that can be inscribed within the rhombus?$\dfrac{1}{...
1 answers
1 votes
Arjun asked Feb 15, 2022
GATE Mechanical 2022 Set 1 | GA Question: 8
An equilateral triangle, a square and a circle have equal areas. What is the ratio of the perimeters of the equilateral triangle to square to circle? $3\sqrt{3} : 2 : \sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 2 : \sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 4 : 2\sqrt{\pi}$ $\sqrt{\left ( 3 \sqrt{3} \right )} : 2 : 2\sqrt{\pi}$
An equilateral triangle, a square and a circle have equal areas.What is the ratio of the perimeters of the equilateral triangle to square to circle?$3\sqrt{3} : 2 : \sqrt...
1 answers
2 votes
Arjun asked Feb 15, 2022
GATE Mechanical 2022 Set 1 | GA Question: 10
In a $12$-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a $12$-hour duration from $3$ PM in a day to $3$ AM the next day? $11$ $12$ $144$ $2$
In a $12$-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a $12$-hour duration from $3$ PM in a day to $3$ ...
1 answers
1 votes
Arjun asked Feb 15, 2022
GATE Mechanical 2022 Set 2 | GA Question: 3
If $f\left ( x \right ) = 2 \:\ln \left ( \sqrt{e^{x}} \right )$, what is the area bounded by $f\left ( x \right )$ for the interval $\left [ 0,2 \right ]$ on the $x$ – axis? $\frac{1}{2}$ $1$ $2$ $4$
If $f\left ( x \right ) = 2 \:\ln \left ( \sqrt{e^{x}} \right )$, what is the area bounded by $f\left ( x \right )$ for the interval $\left [ 0,2 \right ]$ on the $x$ –...
Voting & Accepting an answer helps improve the community
Link Copied!