Mathematics
Water flows into a tank 150 m long and 100 m broad through a rectangular pipe whose cross section is 5 dm × 3.5 dm, at the speed of 15 km/hr. In what time, will the water be 7 m deep?
Mensuration
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Answer
Given,
Tank dimension :
Length = 150 m
Breadth = 100 m
Depth = 7 m
Cross section of pipe = 5 dm × 3.5 dm
= 0.5 m × 0.35 m.
Speed of water = 15 km/hr = 15000 m/hr.
Let time taken by pipe to fill the tank be x hours.
⇒ Volume of tank = Time × Volume of water discharged by pipe (per hour)
⇒ 150 × 100 × 7 = x × (Cross section of pipe × Speed of water)
⇒ 150 × 100 × 7 = x × 0.5 × 0.35 × 15000
⇒ 105000 = x × 2625
⇒ x =
⇒ x = 40 hours.
Hence, time taken = 40 hours.
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