Question
βAβ can complete a work in 18 days and is 10% more
efficient than βBβ. βAβ and βBβ start the work together, but βAβ leaves after 15 days. The remaining work is completed by βBβ alone in βxβ days. Find the value of βxβ.Solution
ATQ, Time taken by βBβ to complete the work = 1.1 Γ 18 = 19.8 days (round up to 20 days) Let the total work = 180 units Efficiency of βAβ = 180/18 = 10 units/day Efficiency of βBβ = 180/20 = 9 units/day Work completed by βAβ and βBβ in 15 days = (10 + 9) Γ 15 = 285 units (exceeds total units, adjust to maximum possible, which is 180 units) Since the total work is completed in the given period, x = 0 days
If p = 24 - q - r and pq + r(q + p) = 132, then find the value of (pΒ² + qΒ² + rΒ²).
((99.9 - 20.9)² + (99.9 + 20.9)² )/(99.9 x 99.9 + 20.9 x 20.9) = ?
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Find the value of the given expression-
(4x+4 -5Γ 4x+2) / 15Γ4x β 22Γ4x
If 4xΒ² + yΒ² = 40 and x y = 6, then find the value
of 2x + y?
If p = 40 - q - r and pq + r(q + p) = 432, then find the value of (pΒ² + qΒ² + rΒ²).
47.98 Γ 4.16 + β325 Γ 12.91 + ? = 79.93 Γ 5.91
If x + y = 4 and (1/x) + (1/y) = 24/7, then the value of (x3 + y3).
- If p = 20 - q - r and pq + r(p + q) = 154, then find the value of (pΒ² + qΒ² + rΒ²).
If a = (β2 - 1)1/3, then the value of (a-1/a)3 +3(a-1/a) is: