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A group experiment was conducted. If 2 students of Class 12 and 1 student of class 11 can complete the experiment in 14 minutes while 4 students of class 11 and 2 students of class 12 can complete it in 8 minutes. If one Class 12 student gets Rs. 600 for doing the experiment, how much should a class 11 student get?1). Rs. 9002). Rs. 2003). Rs. 3004). Rs. 400 |
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Answer» Assume it takes x minutes for a class 12 student to complete the experiment. So His rate of work per MINUTE will be 1/x. Similarly for class 11 student let it be y minutes therefore rate per minute will be 1/y. ⇒ 2/x + 1/y = 1/14 ⇒ 4/y + 2/x = 1/8 ⇒ 28/x + 14/y = 1 ⇒ 32/y + 16/x = 1 Multiply both SIDES by xy 28y + 14x = xy 32x + 16Y = xy ⇒ 28y + 14x = 32x + 16y 12y = 18x ⇒ y = 3x/2 There for a class 11 student should get 2/3 × 600 = Rs. 400 |
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