Question

Consider the motion of a batsman in a cricket game. The length of the pitch is $18\mathrm{m}$. Suppose the batsman completes one run and he is now $18\mathrm{m}$ away from his batting crease or his starting point. Then he turns back and gets run out when he is exactly mid-way through his second run.
The total distance traveled by batsman is

• A. $18\mathrm{m}$
• B. $36\mathrm{m}$
• C. $9\mathrm{m}$
• D. $27\mathrm{m}$

Answer 1

The correct option is D

$27\mathrm{m}$

Step 1: Given

As per the data given,

Since the length of the pitch is $18m$

Step 2: Calculating the distance batsman travelled in one run

Hence, to make one run the distance he has to travel $=18m$

Now, the batsman makes one run and gets out when he is exactly midway through the pitch.

Therefore, he gets out when he is $\frac{18}{2}=9m$ away from the pitch.

Step 3: Calculating the total distance batsman travelled

Total distance travelled= distance travelled to make one run+ distance travelled is half of the pitch $=18m+9m=27m$

Hence option D is correct, the distance travelled by the batsman is $27m$.