Question

Machine A produces 90 toys in 15 minutes and machine B produces 60 toys in 30 minutes. If both the machines run simultaneously, then how many minutes will be required to produce 400 toys?

• A. 35
• B. 40
• C. 45
• D. 50

Answer 1

The Correct Option is D

Step 1: Determine the Production Rates 

Machine A produces 90 toys in 15 minutes, so its rate of production is:

\( \text{Rate of A} = \frac{90}{15} = 6 \) toys per minute.

Machine B produces 60 toys in 30 minutes, so its rate of production is:

\( \text{Rate of B} = \frac{60}{30} = 2 \) toys per minute.

Step 2: Compute the Combined Production Rate

The combined rate of production of both machines is:

\( 6 + 2 = 8 \) toys per minute.

Step 3: Calculate the Time Required

To produce 400 toys, the time required is:

\( \text{Time} = \frac{400}{8} = 50 \) minutes.

Conclusion

The time required to produce 400 toys is 50 minutes.