Question

working alone, eduardo can pick forty bushels of apples in 8 hours. micaela can pick the same amount in 14 hours. if they worked together how long would it take them?
hours =

minutes =

seconds =

Explanation:

Step1: Calculate Eduardo's rate

Eduardo can pick 40 bushels in 8 hours, so his rate is $\frac{40}{8}=5$ bushels per hour.

Step2: Calculate Micaela's rate

Micaela can pick 40 bushels in 14 hours, so her rate is $\frac{40}{14}=\frac{20}{7}$ bushels per hour.

Step3: Calculate their combined rate

Combined rate = $5+\frac{20}{7}=\frac{35 + 20}{7}=\frac{55}{7}$ bushels per hour.

Step4: Calculate the time taken together

Time = $\frac{40}{\frac{55}{7}}=\frac{40\times7}{55}=\frac{56}{11}$ hours.

Step5: Convert $\frac{56}{11}$ hours to hours, minutes and seconds

$\frac{56}{11}= 5\frac{1}{11}$ hours.
The whole - number part is 5 hours.
The fraction part $\frac{1}{11}$ of an hour in minutes: $\frac{1}{11}\times60=\frac{60}{11}\approx5.45$ minutes.
The whole - number part of minutes is 5 minutes.
The fraction part of a minute $\frac{60}{11}- 5=\frac{60 - 55}{11}=\frac{5}{11}$ of a minute in seconds: $\frac{5}{11}\times60=\frac{300}{11}\approx27.27$ seconds.

Answer:

Hours = 5
Minutes = 5
Seconds = 27