Time and Work


  1. A, B and C together earn Rs. 150 per day while A and C together earn Rs. 94 and B and C together earn Rs. 76. The daily earning of C is ?









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    ∵ B's daily earning = Rs. (150 - 94) = Rs. 56
    ⇒ A's daily earning = Rs. (150 - 76) = Rs. 74

    Correct Option: D

    ∵ B's daily earning = Rs. (150 - 94) = Rs. 56
    ⇒ A's daily earning = Rs. (150 - 76) = Rs. 74
    ∴ C's daily earning = Rs. [(150 - (56 + 74)] = Rs. 20


  1. If factory A turns out x cars an hour and factory B turns out y cars every 2 hours, the number of cars which both factories turn out in 8 hours is ?









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    ∵ Factory A turns out x cars in one hour. Factory B turns out y/2 cars in one hour.
    ⇒ In one hour both the factories A and B can turn out (x + y/2) cars

    Correct Option: D

    ∵ Factory A turns out x cars in one hour. Factory B turns out y/2 cars in one hour.
    ⇒ In one hour both the factories A and B can turn out (x + y/2) cars
    ∴ In 8 hours both factories turn out = 8( x + y/2) cars
    = 4(2x + y) cars.



  1. A alone can finish a work in 10 days and B alone can do it in 15 days. If they work together and finish it, then out of a total wages of Rs. 75, A will get ?









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    Since a alone can finish a work in 10 days and B alone can do it in 15 days. So if they work together then the ration of work done by A and B is = (1/10) : (1/15).

    Correct Option: C

    Since a alone can finish a work in 10 days and B alone can do it in 15 days. So if they work together then the ration of work done by A and B is = (1/10) : (1/15).

    ∴ The wages A will get = (1/10)[(1/10) + (1/15)] x 75
    = Rs. 45


  1. If 3 men or 4 women can built a wall in 43 days, in how many days can 7 men and 5 women build this wall ?









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    3 men = 4 women
    ∴ 1 man = 4/3 women
    ∴ 7 men + 5 women = 7 x (4/3) + 5 = 43/3 women
    ∴ M1D1W2 = M2D2W1

    Correct Option: D

    3 men = 4 women
    ∴ 1 man = 4/3 women
    ∴ 7 men + 5 women = 7 x (4/3) + 5 = 43/3 women
    ∴ M1D1W2 = M2D2W1
    ∴ 4 x 43 x 1 = (43/3) x D2 x 1
    ∴ D2 = 3 x 4 = 12 days



  1. A can do a certain job in 10 days. B is 60% more efficient than A. The number of days, it takes B to do the same piece of work is ?









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    1 day work of A = 1/10 = 0.1
    1 day work of B = 1/10 + 60% of 1/10 = 0.1 + 0.06 = 0.16

    Correct Option: C

    1 day work of A = 1/10 = 0.1
    1 day work of B = 1/10 + 60% of 1/10 = 0.1 + 0.06 = 0.16
    So number of days taken by B to complete the work = 1/0.16
    = 62/3