Question
There was a race of 2280 meters between P & Q on a
circular track of 380 meters. First time they meet during the race after 4 minutes of starting of race. Find the time taken by Q to complete the race, if he runs at half the speed of P.Solution
Let speed of P is 2x and speed of Q is x. According to question, 380/(2x−x) = 4 min ⇒ 2x – x = 95 meters/min ⇒ x = 95 meters/min Therefore the speed of Q is 95 meters/min. Time taken by Q = 2280/95 = 24 minutes
Let A be a 3 × 3 matrix such that |A ∣ =4. Then ∣ adj(adj(A)) ∣ equals:
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If log₅(x + 125) – log₅ x = 2, find x.
