Time and Work

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  1. A man is paid ₹ 5 per h for regular working day and ₹ 8 per h overtime. A regular working day has 8 h and a regular week has 5 working days. If he earns ₹ 920 in 4 weeks, then what is the total number of hours that he worked assuming that he was present on all regular working days ?








  1. View Hint View Answer Discuss in Forum

    Number of regular hours during 4 weeks = 8 x 5 x 4 = 160
    Amount paid for regular working hours = 160 x 5 = ₹ 800
    Balance left = (920 - 800) = ₹ 120
    So, ₹ 120 is paid for his over time at ₹ 8 per h.
    ∴ Total number of overtime working hours = 120/8 = 15 h

    Correct Option: C

    Number of regular hours during 4 weeks = 8 x 5 x 4 = 160
    Amount paid for regular working hours = 160 x 5 = ₹ 800
    Balance left = (920 - 800) = ₹ 120
    So, ₹ 120 is paid for his over time at ₹ 8 per h.
    ∴ Total number of overtime working hours = 120/8 = 15 h
    Total working hours = (160 + 15) = 175 h

  1. The efficiency of Romil is twice that of Sanjay and he can finish a work in 4 h less than the time taken by Sanjay. If both of them work together they can finish the same work in ?








  1. View Hint View Answer Discuss in Forum

    As the efficience of Romil is twice that of Sanjay, Romil, will take x h for completeion of the work, when Sanjay is taking 2x h.
    Given, 2x - x = 4
    ⇒ x = 4
    Hence, they take = 1/(1/4 + 1/8) = 8/3 h

    Correct Option: C

    As the efficience of Romil is twice that of Sanjay, Romil, will take x h for completeion of the work, when Sanjay is taking 2x h.
    Given, 2x - x = 4
    ⇒ x = 4
    Hence, they take = 1/(1/4 + 1/8) = 8/3 h

  1. Working together P and Q can do a job is 6 days. Q and R can do the same job in 10 days while P and R can do it in 5 days. How long will it take, if all of them work together to complete the job ?








  1. View Hint View Answer Discuss in Forum

    (P + Q)'S 1 day's work = 1/6
    (Q + R)'s 1 day's work = 1/10
    (P + R)'s 1 day's work = 1/5
    On adding, 2 (P + Q + R)'s 1 day's work = 1/6 + 1/10 + 1/5 = 7/15
    ( P + Q + R)'s 1 day's work = 7/30

    Correct Option: A

    (P + Q)'S 1 day's work = 1/6
    (Q + R)'s 1 day's work = 1/10
    (P + R)'s 1 day's work = 1/5
    On adding, 2 (P + Q + R)'s 1 day's work = 1/6 + 1/10 + 1/5 = 7/15
    ( P + Q + R)'s 1 day's work = 7/30
    ∴ (P + Q + R)'s can do the entire work in = 30/7 = 42/7 days

  1. A women can weave a basket in 6 days. But with the help of her daughter, she can complete the work in 4 days. In what time can the daughter alone do the work ?








  1. View Hint View Answer Discuss in Forum

    Women's 1 day's work = 1/6
    (Women + Daughter)'s 1 day's work = 1/4
    ∴ Daughter's 1 day's work = 1/4 - 1/6 = 1/12

    Correct Option: A

    Women's 1 day's work = 1/6
    (Women + Daughter)'s 1 day's work = 1/4
    ∴ Daughter's 1 day's work = 1/4 - 1/6 = 1/12
    So, the daughter can do the work in 12 days.