Direction : Study the data given below and answer the following questions Data…

2018

Direction : Study the data given below and answer the following questions

Data is provided for 3 months for a water tank whose capacity is 600000 L to provide continuous water supply to a building. Water tank is first completely filled and then it gets completely emptied to supply water in a building. It supply water continuously to the building and is refilled again and again to provide continuous supply. In the building there are 40 flats in which all flats may or may not be completely occupied in the given three months.
November → Each flat is filled with a tap from which rate of flow of water is 250 L/h and only 50% flats are occupied in November. Water tank provides continuous water supply to these taps in whole month.
December → In this month 30 flats are occupied and tank gets emptied after 4 ⅙ days. Rate of flow from one tap in December is A % more or less than rate of flow from one tap in November.
January → Rate of flow of water from the taps is same as of November and gets emptied after supplying water to building for 100 hr. Number of flats occupied in January is B %.

In October efficiency of each tap decrease by 20% due to leakage as compared to efficiency of November and capacity of tank is reduced to 80%. In how many hours tank will be emptied in October if total occupied flats in October is equal to no. of occupied flats in December

  1. A.

    65 hours

  2. B.

    70 hours

  3. C.

    30 hours

  4. D.

    60 hours

  5. E.

    80 hours

Show answer & explanation

Correct answer: E

In October, the tank capacity is 80% of 600000 L = 480000 L. The occupied flats equal December, so 30 flats are occupied. Each tap's flow decreases by 20% from November's 250 L/h, so each tap flows at 200 L/h. Total outflow is 30 x 200 = 6000 L/h. Time = 480000 / 6000 = 80 hours.

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