The best athlete of your school wants to participate in a 300 m race in a state championship. Presently he ca…

The best athlete of your school wants to participate in a $300$ m race in a state championship. Presently he can run that distance in $60$ seconds but is confident that with each day of practice it will take him $3$ seconds less than the previous day. So, first day he will take $60$ seconds, $2^{\text{nd}}$ day $57$ seconds, third day $54$ seconds and so on, to complete the race. He wants to do it in $30$ seconds. Based on the above, answer the following questions :