Question

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?

• A. 3.40 pm
• B. 3.35 pm
• C. 3.45 pm
• D. 3.30 pm

Answer 1

The Correct Option is D

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