Tips on cracking Aptitude Questions Based on Time & Work

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TIPS on cracking Aptitude Questions on Time and
Work
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Tip 1 Assume that the productivity of each
worker is constant
Question A alone can do a piece of work in 6
days and B alone in 8 days. A and B undertook to
do it for Rs. 3200. With the help of C, they
completed the work in 3 days. How much is to be
paid to C? Solution Let the total amount of work
to be done be W units. Productivity of A, Pa
W/6 units per day. Productivity of B, Pb W/8
units per day. 3 days x Pa Pb Pc W gt Pc
W/24 units per day Ratio of wages of A B C
Ratios of their productivities (W/6) (W/8)
(W/24) 4 3 1. Amount to be paid to C
Rs. 3200 x (1/8) Rs. 400 Question It takes 6
hours for pump A, used alone, to fill a tank of
water. Pump B used alone takes 8 hours to fill
the same tank. We want to use three pumps A, B
and another pump C to fill the tank in 2 hours.
What should be the rate of pump C? How long would
it take pump C, used alone, to fill the tank?
Solution Let the total capacity of the tank be
C liters. Fill rate of pump A, Fa C/6 liters
per hr Fill rate of pump B, Fb C/8 liters per
hr 2 hrs x Fa Fb Fc C gt Fc 5C/24
liters per hr Let t be the time taken by only
pump C to fill the tank. t hrs x 5C/24 C gt t
24/5 4.8 hrs
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