Question
"A" and "B" collaborate to complete a project in 18
days. If "A" can finish the project 15 days faster than "B" when working solo, how long would it take "B" to complete the project alone?Solution
Let the time taken by 'B' to finish the work be 'x' days. So, time taken by 'A' to finish the work = 'x - 15' days ATQ; (1/18) = (1/x) + {1/(x - 15) } Or, (1/18) X (x - 15) X x = (x - 15) + x Or, x2 - 15x = 18 X (2x - 15) Or, x2 - 15x = 36x - 270 Or, x2 - 51x + 270 = 0 Or, x2 - 45x - 6x + 270 = 0 Or, x(x - 45) - 6(x - 45) = 0 Or, (x - 45) (x - 6) = 0 So, x = 45 or x = 6 Since, at x = 6, time taken by 'A' to finish the work would become negative So, x = 45 So, 'B' would finish the work alone in 45 days. Hence, option a.
The “Nutrient Index” concept in soil fertility assessment was introduced by:
The Phenomenon of inheritance of linked genes in same linkage group is called as
Which of the following statement is not correct about the facilitated diffusion?
Water movement under unsaturated soil conditions is mainly driven by_____
Which insect lays eggs in guava fruits, causing damage and rendering them unmarketable?
In furrow irrigation, which factor mainly influences the uniform distribution of water?
Karonda is a rich source of
The process of loss of water from plant is
Why are insects considered among the most successful organisms on Earth in terms of survival and proliferation across ecosystems?
In which part of India the shifting cultivation, locally known ‘Jhuming’ is widely practiced?
Relevant for Exams:
