Question
14 Indians and 8 Chinese finish a job in 8 days. 14
Japanese and 6 Chinese finish the same job in 14 days. Given that the efficiency of each person of a particular nationality is same but different from others. One Indian, one Chinese and one Japanese will complete the work in?Solution
One day work of 14 Indians and 8 Chinese = 1/8 One day work of 14 Japnese and 6 Chinese = 1/14 Therefore, one day’s work of 14 Indian, 14 Chinese and 14 Japanese = 1/8 + 1/14 = (7 + 4)/56 = 11/56 Therefore, one day’s work of 1 Indian, 1 Chinese and 1 Japanese = 11/56 × 1/14 = 11/784 Therefore, number of days required by 1 Indian, 1 Chinese and 1 Japanese = 784/11 = 71*3/11 days
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