The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?
A. 456 kms B. 482 kms
C. 552 kms D. 556 kms

• sum of AP series ...35 +37 +..... +57
  
  Total distance travelled in 12 hours = 35 +37 +..... +57 = 552 kms .. option C
• 13 years agoHelpfull: Yes(9) No(3)
• 552kms
  cus of series in AP
  
• 12 years agoHelpfull: Yes(2) No(1)
• 35 +37 +..... +57
  
  Total distance travelled in 12 hours = 35 +37 +..... +57 = 552 kms .. option C
  
• 10 years agoHelpfull: Yes(0) No(0)
• Since, the speed of the car is in AP.
  At first we need to find no. of term in the series of speeds.
  => a+(n-1)d= 57
  => 35 + (n-1)*2=57.
  => 33 + 2n = 57.
  => n= 24/2 = 12.
  
  Total distance traveled = (n/2)[2a +(n -1)d].
  => (12/2)[2 * 35 + 11 * 2]
  => 6*[70+22]= 92 * 6 = 552.
• 8 years agoHelpfull: Yes(0) No(0)