A and B are 15 kms apart and when travelling towards each other meet after half an hour whereas they meet two and a half hours later if they travel in the same direction. The faster of the two travels at the speed of?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 18 km/hr
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Understanding |
Application |
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Suppose the speeds of A and B are ‘a’ and ‘b’ km/h respectively. |
So, Relative speed when they travel in opposite directions = (a + b) And Relative speed when they travel in opposite directions = (a – b) |
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Given: A and B are 15 kms apart. |
So, 15/(a – b) = 1/2 ⇒ (a + b) = 30 And 15/(a – b) = 5/2 ⇒ (a – b) = 6 |
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Solving both the equations. |
⇒ a = 18 and b = 12 Hence, The faster of the two travels at the speed of 18 km/hr |