Time
& Work
If A can do a piece of work in n days,
then A’s 1 day’s work = 1/n.
If A’s 1 day’s work = 1/n, then A
can finish the work in n days.
If A is thrice as good a workman as B,
then:
Ratio of work done by A and B = 3 : 1,
Ratio of times taken by A & B to
finish a work = 1 : 3
Pipes & Cisterns
If a pipe can fill a tank in ‘x’
hours and another pipe can empty the full tank in ‘y’ hours
(where y > x), then on opening both
the pipes, the net part of the tank filled in 1 hour is
(1/x – 1/y)
Suppose a man covers a distance at ‘x’
kmph and an equal distance at ‘y’ kmph, then
average speed during his whole journey
is
[2xy / (x + y)] kmph
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