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      Question

      Two person A and B started from same place and in same

      direction with speed of 48km/hr and 40km/hr respectively .The speed of person B increased by ½ km every hr. after what time A and B will meet .
      A 25 hr Correct Answer Incorrect Answer
      B 46 hr Correct Answer Incorrect Answer
      C 33 hr Correct Answer Incorrect Answer
      D 36 hr Correct Answer Incorrect Answer
      E 22 hr Correct Answer Incorrect Answer

      Solution

      Let the time be =    t hrs , speed be= 48 km/hr , distance = 48× t  Distance travelled by B forms an AP  = 40, 40½, 41, 41½ , ………………………. t terms Where First term is 40 and Common difference is 1/2 Now, Sum of n terms = Sn = n/2 [2a + (n-1)d] = distance covered by A Sn = t/2 [2 × 40 + (t-1)  1/2]  48t= t/2 [2 × 40 + (t-1)  1/2]  96 = 80 + (t – 1) 1/2 16 = (t – 1) 1/2 33 = t Therefore A and B will meet after 33 hours

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