Q.
Mini and Vinay are quiz masters preparing for a quiz. In 'x' minutes, Mini makes 'y' questions more than Vinay. If it were possible to reduce the time needed by each to make a question by 2 mins , then in 'x' minutes Mini would make '2y' questions more than Vinay. How many questions does Mini make in 'x' minutes?
1] 1/4[ 2 ( x+y) - ( 2 x^2 + 4 x y^2 )^1/2 ]
2] 1/4[ 2(x-y) - ( 2 x^2 + 4 y^2 )^1/2 ]
3] Either option 1 or 2
4] 1/4[ 2(x-y) - ( 2 x^2 - 4 y^2 )^1/2 ]
No of question Vinay per minute he makes = Q /x questions
No of question mini per minute he makes = (Q + y) /x questions
To make one question suppose vinay takes z minute and t minute by mini.
Case 2 : To make one question suppose vinay takes z minutes -2 and t minutes - 2 by mini.
Vinay In x minutes --> Q1 question
1 min --> Q1 / x questions
Mini
In x minutes --> Q1 + 2y questions
1 min --> ( Q1 + 2y) / x questions
How to solve further
Mini and Vinay are quiz masters preparing for a quiz. In 'x' minutes, Mini makes 'y' questions more than Vinay. If it were possible to reduce the time needed by each to make a question by 2 mins , then in 'x' minutes Mini would make '2y' questions more than Vinay. How many questions does Mini make in 'x' minutes?
1] 1/4[ 2 ( x+y) - ( 2 x^2 + 4 x y^2 )^1/2 ]
2] 1/4[ 2(x-y) - ( 2 x^2 + 4 y^2 )^1/2 ]
3] Either option 1 or 2
4] 1/4[ 2(x-y) - ( 2 x^2 - 4 y^2 )^1/2 ]
No of question Vinay per minute he makes = Q /x questions
No of question mini per minute he makes = (Q + y) /x questions
To make one question suppose vinay takes z minute and t minute by mini.
Case 2 : To make one question suppose vinay takes z minutes -2 and t minutes - 2 by mini.
Vinay In x minutes --> Q1 question
1 min --> Q1 / x questions
Mini
In x minutes --> Q1 + 2y questions
1 min --> ( Q1 + 2y) / x questions
How to solve further