Question

Avnish started from his home at $8:00\text{A.M.}$at a constant speed of $500$m/min. His office is $3$ km away from his home. Which of the below shows function from the set of time taken(in min) to the set of distance covered by him(in Km)?

• A. $\left\{\right(1,0.5\text{km}),(2,1\text{km}),(3,1.5\text{km}),(4,2\text{km}),(5,2.5\text{km}),(6,3\text{km}\left)\right\}$
• B. $\left\{\right(1,0.5\text{km}),(2,1\text{km}),(3,1.5\text{km}),(4,2\text{km}\left)\right\}$
• C. (a) and (b) both
• D. None of the above

Answer 1

The correct option is A $\left\{\right(1,0.5\text{km}),(2,1\text{km}),(3,1.5\text{km}),(4,2\text{km}),(5,2.5\text{km}),(6,3\text{km}\left)\right\}$

As we know Avnish is walking at the constant speed of $500$m/min or we can also say that he is covering $500$meter distance in every minute.
As he started at $8:00$AM so after every minute he will be $500$meter away from his previous location.
So,
At $8:01$AM he will be $0.5$km away from the home.
At $8:02$AM he will be $1$km away from the home.
At $8:03$AM he will be $1.5$km away from the home.
At $8:04$AM he will be $2$km away from the home.
At $8:05$AM he will be $2.5$km away from the home.
At $8:06$AM he will be $3$km away from the home.

From above data, the function from set of time taken (in min) to set of distance covered(in Km) is
$\left\{\right(1,0.5\text{km}),(2,1\text{km}),(3,1.5\text{km}),(4,2\text{km}),(5,2.5\text{km}),(6,3\text{km}\left)\right\}$