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Solution


Q.

Your friend Veer wants to participate in a 200 m race. He can currently run that distance in 51 seconds and with each day of practice it takes him 2 seconds less. He wants to complete the race in 31 seconds.

Based on the above information answer the following question:

 

 

(ii) What is the minimum number of days he needs to practice till his goal is achieved
1 11  
2 12  
3 13  
4 15  

Ans.

(1)

Let he has to practice for n days

aₙ = 31 ⇒ a + (n – 1)d = 31,  a = 51, d = -2 ⇒ 51 + (n – 1)(-2) = 31 ⇒ -2(n – 1) = 31 – 51 = -20⇒ n – 1 = 10 ⇒ n = 11

Minimum number of days = 11