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Two cities A and B are 135 km apart on a straight track. One car starts from A at 8 a.m. and travels towards B at 25 km/h. Another car starts from B at 9 a.m. and travels towards A at a speed of 30 km/h. At what time will they meet?

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  1. 11 a.m.
  2. 10 a.m.
  3. 10.45 a.m.
  4. 11.30 a.m.

Answer (Detailed Solution Below)

Option 1 : 11 a.m.
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Detailed Solution

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The correct answer is (11a.m.)

Key Points -

Suppose they meet after x hours after 8 a.m.

Distance covered by A after x hours = 25x km.

Distance covered by B after (x-1) hours =30(x-1) km.

                     

                         135  = 25x + 30(x-1)

                         135  = 25x + 30x - 30

                         135  = 55x - 30

                         135 + 30 = 55x 

                             165/55  = x

                           i.e , x = 3 hours 

          The two cars will meet after 3 hours ; 8a.m. + 3hours = 11 a.m. 

      HENCE ,THE CORRECT ANSWER IS 11 A.M.

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