Question

The following table shows the distance covered by two asteroids and the time taken for it.


The faster asteroid among the two is

• A. Asteroid A
• B. Asteroid B
• C. Neither A nor B

Answer 1

The correct option is A Asteroid A

Calculate the speed of Asteroid A.

$\text{You know,}Speed=Distance÷Time.$

So, for Asteroid A,
Distance covered = $1330$ km.
Time taken = $70$ seconds.

$\therefore SpeedofA=1330km÷70s$

The number $1330$ in its expanded form is: $1330=1000+300+30$.

So, calculating $1330km÷70s$ using the box method,


Adding the partial quotients, you get, $10+5+4=19$.

∴ The speed of Asteroid A is $19kmpersecond.$

Similarly, for Asteroid B:
$\text{Distance covered =}1530m.$
$\text{Time taken =}90seconds.$

$\therefore SpeedofB=Distance÷Time$
$=1530km÷90s$.

The number $1530$ in its expanded form is $1530=1000+500+30$.

$\text{So, calculating}1530km÷90s\text{using the}$
$\text{box method,}$


Adding the partial quotients, you get the final quotient as $10+5+2=17$.

∴ The speed of Asteroid B is $17kmpersecond$.

Clearly, $19kmpersecond>17kmpersecond$

Therefore, the faster asteroid of the two is Asteroid A.