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Railways Sample Paper RRBs Assistant Loco Pilot and Technician CBT STAGE-I Sample Paper-9

  • question_answer
    A man and a boy together can do a certain amount of digging in 40 days. Their speeds in digging are in the ratio of 8:5. How many days will the boy take to complete the work, if engaged alone?

    A)  80 days           

    B)  104 days

    C)  52 days           

    D)  68 days

    Correct Answer: B

    Solution :

    Rate of digging = 8 : 5 \[\therefore \] Man complete the work in = 5x days and boy complete the work in = 8x days \[\therefore \]      \[\frac{1}{5x}+\frac{1}{8x}=\frac{1}{40}\] \[\Rightarrow \]   \[\frac{8+5}{40x}=\frac{1}{40}\] \[\Rightarrow \]   \[\,x=13\] \[\therefore \] Boy takes the time to complete the work alone \[=8x=8\times 13=104\]days


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