Question

question 5
ben takes 3 hours to wash 267 dishes, and frank takes 4 hours to wash 460 dishes. how long will they take, working together, to wash 3700 dishes?
it will take ben and frank 　　 hour(s) 　　 minute(s) to wash 3700 dishes together.
if needed, round answer to 1 decimal places.

Explanation:

Step1: Find Ben's rate

Ben washes 267 dishes in 3 hours, so his rate is $\frac{267}{3} = 89$ dishes per hour.

Step2: Find Frank's rate

Frank washes 460 dishes in 4 hours, so his rate is $\frac{460}{4} = 115$ dishes per hour.

Step3: Find combined rate

Combined rate of Ben and Frank is $89 + 115 = 204$ dishes per hour.

Step4: Find time for 3700 dishes

Time = $\frac{3700}{204} \approx 18.137$ hours.

Step5: Convert decimal to minutes

Decimal part: $0.137 \times 60 \approx 8.22$ minutes.

Answer:

18 hour(s) 8.2 minute(s) (or rounded as per need, but following calculation steps above)