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    Question

    "Arnav, Bhanu, and Chinu can

    finish a task in 18 days, 24 days, and 30 days, respectively. They all begin working together, but Bhanu stops after 4 days, and Arnav stops one day before the work is completed. How many days will it take to complete the work?"
    A 10 days Correct Answer Incorrect Answer
    B 9 days Correct Answer Incorrect Answer
    C 12 days Correct Answer Incorrect Answer
    D 14 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let, total task be LCM (18, 24, 30) = 360 units Number of units of work done by Arnav in one day = 360 ├╖ 18 = 20 units Number of units of work done by Bhanu in one day = 360 ├╖ 24 = 15 units Number of units of work done by Chinu in one day = 360 ├╖ 30 = 12 units Number of units of work done by (Arnav + Bhanu + Chinu) in 4 days = (20 + 15 + 12) ├Ч 4 = 188 units Remaining work = 360 тАУ 188 = 172 units Let, 'n' be the number of days for completion of task. (n тАУ 4 тАУ 1) ├Ч 20 + (n тАУ 4) ├Ч 12 = 172 20n тАУ 100 + 12n тАУ 48 = 172 32n = 320 n = 320/32 n = 10 So, the task gets completed in 10 days

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