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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?

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? Correct Answer 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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