Question
X takes twice as much time as Y or thrice as much time
as Z to finish a job. Working together, the trio can finish the job in 2 days. Y alone can do the work in __________.Solution
Let Y = y days Then X = 2y days Also, X = 3z ⇒ z = (2/3)y Rates: X = 1/(2y) Y = 1/y Z = 1/z = 1/((2/3)y) = 3/(2y) Together: 1/(2y) + 1/y + 3/(2y) = 1/2 (1 + 2 + 3)/(2y) = 1/2 6/(2y) = 1/2 3/y = 1/2 y = 6
The ages of A, B and C are in the ratio of 4:3:6 respectively. If the sum of their ages is 65 years, then find the age of B.
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Ratio between two numbers is 3:5 and their difference is 24. Find the sum of the given two numbers.
The marks obtained by X and Y in a quiz are in the ratio 7:5 respectively. If Y had scored 5 more marks, then the marks scored by X would be 30% more th...
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The ratio of the number of English books to Hindi books in a library shelf is 4:3. If 90 Hindi books are written by Pradeep, which constitutes 30% of th...
- If ‘A’, ‘B’ and ‘C’ are in proportion in the given order while ‘A’ = 16 and ‘B’ = 32, then find the value of ‘C’.
In a class of 140 students, the number of boys exceeds the number of girls by 8. If 4 additional girls and 6 additional boys join the class, what will b...
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