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Two cities Patna and Ranchi are 300 km apart. Two cars started from Patna and Ranchi and move towards each other at the speed of 60 km/h and 30 km/h. A car starts at 9 A.M from Patna towards Ranchi. Another car starts at 11 A.M from Ranchi towards Patna. At what time two cars meet?1. 1.20 P.M2. 1.00 P.M3. 1.30 P.M4. 12.45 P.M5. 12.30 P.M |
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Answer» Correct Answer - Option 2 : 1.00 P.M Given: Speed of first car = 60 km/h Speed of second car = 30 km/h Formula used: Relative Speed = (Total distance)/Time Concept used: Let two cars meet after ‘t’ hours when train start from Patna at 9 A.M Distance covered in ‘t’ hours at 60 km/h = 60t Distance covered in ‘(t – 2)’ hours at 30 km/h = 30(t – 2) According to the Question, 60t + 30(t – 2) = 300 ⇒ 60t + 30t – 60 = 300 ⇒ 90t = 360 ⇒ t = 360/90 ⇒ t = 4 hours Time at he reach = (9 + 4) = 1 P.M ∴ Cars will meet at 1 P.M. |
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