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      Question

      The distance between two places P and Q is 550 km. A

      car departs from place P for place Q at a speed of 60 km/hr. at 5 am. Another car departs from place Q for place A at a speed of 40 km/hr at 10 am. At what time will both the car meet each other?
      A 18 hrs 15 min Correct Answer Incorrect Answer
      B 8 hrs 30 min Correct Answer Incorrect Answer
      C 12 hrs 30 min Correct Answer Incorrect Answer
      D 23 hrs 15 min Correct Answer Incorrect Answer

      Solution

      Distance travelled by the first car in 5 hours = 60 Γ— 5 = 300 km Remaining distance = 550 - 300 = 250 kmΒ  Time for both cars to meet = distance/(relative speed ) = 250/(60+40) = 250/100 = 21/2 hrs = 2 hrs 30 min ∴ Both the cars will meet after 2 hrs 30 min means (10 am + 2 hrs 30 min) = 12 hrs 30 min

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