An air conditioner can cool the hall in 40 minutes while another takes 45 minutes to cool under similar conditions. If both air conditioners are switched on at the same instance then how long will it take to cool the room approximately? A) 18 minutes B) 19 minutes C) 22 minutes D) 24 minutes

Let the two conditioners be A and B

‘A’ cools at 40min ‘B’ at 45min

Together = (a x b)/(a + b)

= (45 x 40)/(45 + 40)

= 45 x 40/85

= 21.1764

= 22 min (approx).

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