Data is provided for 3 months for a water tank whose capacity is
900000 L to provide continuous water supply to a colony. Water
tank is first completely filled and then it gets completely emptied
to supply water in the colony . It supply water continuously to the
colony and is refilled again and again to provide continuous
supply.. In the colony there are 60 houses in which all houses may
or may not be completely occupied in the given three months .
June `to` Each house is filled with a tap form which rate of flow of
tank provides continuous water supply to these tap in the whole
month.
July ` to` In this month 45 houses are occupied and tank gets
emptied after ` 4 (1)/(6)` days . Rate of flow from one tap is same as June.
August ` to` Rate of flow of water from the taps is same as of June
and gets emptied after supplying water to the colony for 100 hr.
Number of houses occupied in August in Q`%`.
In May efficiency of each tap decreases by 20`%` due to
leakage as compared to efficiency of June and capacity of
tank is reduced to 80`%` In how many hours tank will be
emptied in May if total occupied houses in May is equal to
no. of occupied houses in July .

Options

A. 65 hours
B. 70 hours
C. 30 hours
D. 80 hours

Explanation

Efficiency of a tap in May `=(4)/(5)xx250=200` L/hour
New capacity of the tank `=(4)/(5)xx900000=720000 L`
Occupied houses in May =45
Required time `=(720000)/(200xx45)=80` hours