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Question
2 large and 1 small pumps can fill a water tank in 4 hours. 1 large and 3 small pumps can also fill the same water tank in 4 hours . How many hours will it take for 3 large 4 small pumps to fill the tank?
2 hours
2.5 hours
3 hours
3.5 hours
None of these
ANSWER : 1
Descrption
<p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Here, 2 large and 1 small pumps ≡ 1 large and 3 small pumps</span></p> <p><span style = "box - sizing: border - box; font - size: 18px; color: #212529; font - family: bangla, sans - serif; text - align: justify; background - color: #ffffff;">Again, 3</span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;"> large and 4 small pumps </span></p> <p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;"> = </span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">2 large and 1 small pumps + </span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">1 large and 3 small pumps</span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;"> </span></p> <p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;"> = </span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">2 large and 1 small pumps + </span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">2 large and 1 small pumps </span></p> <p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;"> = 2 x (</span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">2 large and 1 small pumps)</span></p> <p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">Now, </span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">2 large and 1 small pumps can fill the tank in 4 hours</span></p> <p><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">So, 2 x (</span><span style = "background - color: #ffffff; color: #212529; font - family: bangla, sans - serif; font - size: 18px; text - align: justify;">2 large and 1 small pumps) can fill the tank = 4/2 = <strong>2 hours</strong></span></p>
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