Shazo solves 5 questions per minute and starts solving at 2 pm. Razo solves 6 questions per minute and starts solving at 2.15 pm, the same day. When would they have solved same number of questions?
- 3.40 pm
- 3.35 pm
- 3.45 pm
- 3.30 pm
The Correct Option is D
Solution and Explanation
Step 1: Define Variables
Let x be the number of minutes after 2:00 pm when both have solved the same number of questions.
Step 2: Equation for Shazo
Shazo starts solving at 2:00 pm and solves 5 questions per minute. By time x, he has solved:
- Questions solved by Shazo = 5x
Step 3: Equation for Razo
Razo starts solving at 2:15 pm and solves 6 questions per minute. Since he starts 15 minutes late, the time he spends solving is x - 15. The number of questions solved by Razo is:
- Questions solved by Razo = 6(x - 15)
Step 4: Equating Both Equations
Since they have solved the same number of questions at the same time:
- 5x = 6(x - 15)
Step 5: Solving for x
5x = 6x - 90
Step 6: Finding the Time
90 minutes after 2:00 pm is:
- 90 = x
- x = 90
2:00 + 90 minutes = 3:30 pm
Final Answer: The correct answer is (d) 3:30 pm
Top Questions on Logical and Analytical Reasoning Skills
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