Q. Shiva decided to drive through the city and on the first day he drove for only 7 miles. On the last day he drove for 51 miles, increasing his journey 4 miles each day. Calculate the number of days he traveled and how far did he travel?
Option
A) 335 miles in 10 days
B) 348 miles in 12 days
C) 338 miles in 15 days
D) 358 miles in 12 days

• miles travelled in first day = 7 miles
  
  According to the question
  miles travelled in 2nd day = 7+4
  miles travelled by 3rd, 4th....= 7 + 2*4,7 + 3*4......
  
  A.P. = 7,7+4,7+2*4,......7 + ( n-1)4
  IT's given
  7 + (n-1)4 = 51
  (n-1)4 = 44
  n -1 = 11
  n = 12
  
  Total number of days = 12
  total miles travelled Shiva
  = n/2(a + l) [ a = 1st term , l = last term]
  = 12/2(7 + 51)
  = 6(58)
  = 348
  
  so total miles 348 travelled in 12 days
  
• 10 years agoHelpfull: Yes(35) No(0)
• miles travelled last day is 51miles..
  in first day travelled is 7miles
  so each day he increased by 4miles..
  hence 51-7 = remaining days =44
  days travelled = (44/4) + 1(the first day he travelled) =12 days
  
  total days is 12 (n )
  toal distance = n/2(a + l) a= first day travelled distance , l= last day travelled distance_
  = 12/2 (7+51)
  = 348
  
  So ans is 348 miles in 12 days
• 10 years agoHelpfull: Yes(3) No(0)
• according to ques
  7+(n-1)4=51
  n=12
  now sum=12/2(7+51)
  =348
  so 12 daysin 348
• 10 years agoHelpfull: Yes(2) No(0)