Question 182

In Ravi’s clock shop, two clocks were brought for repairs. One clock has the cuckoo coming out every sixteen minutes, while the other one has the cuckoo coming out every eighteen minutes. Both cuckoos come out at 12.00 noon. When will they both come out together again?

Solution

Time after cuckoo comes in first clock = 16 min

Time after cuckoo comes in second clock = 18 min

=> Time after cuckoo will come together in both = L.C.M. (16,18)

= 144 min = 2 : 24 min

=> They will both come out together again = 12 + 2:24 = 2:24 PM


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