Question
A and B finish a job together in 36 days, while B and C
together finish it in 48 days. The trio completes 75% of the job in 18 days. In how many days will A and C together finish the entire job?Solution
ATQ, Time taken by (A + B + C) for the whole work = 18 / 0.75 = 24 days Let total work = 144 units (LCM of 36, 48, 24) Efficiency of (A + B) = 144 / 36 = 4 units/day Efficiency of (B + C) = 144 / 48 = 3 units/day Efficiency of (A + B + C) = 144 / 24 = 6 units/day Isolate A and C: A = 6 – 3 = 3 units/day C = 6 – 4 = 2 units/day (A + C) = 3 + 2 = 5 units/day Required time = 144 / 5 = 28.8 days
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 38x + 352 = 0
Equation 2: y² - 38y + 312 = 0
Quantity I: The cash price of a notebook is Rs. 100 but is can also be purchased on 11 monthly equal instalments of Rs. 10 each. Find rate of S.I.?
...I. 3x6- 19x3+16=0
II. 9y4- 27y2+20=0
I. 14p2 – 135p + 81 = 0
II. 7q2 – 65q + 18 = 0
I. x2 – 39x + 360 = 0
II. y2 – 36y + 315 = 0
I. x² - 208 = 233
II. y² + 47 - 371 = 0
- For what value of a does the quadratic equation x² + ax + 81 = 0 have real and identical roots?
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 50x + 600 = 0
Equation 2: y² - 51y + 630 = 0
I. 5x² -14x + 8 = 0
II. 2y² + 17y + 36 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 13x² - 60x + 47 = 0
Equation 2: 17y² - 80y + 63 = 0
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