High School

Working alone, Ryan can dig a 10 ft by 10 ft hole in 5 hours. Castel can dig the same hole in 6 hours. How long would it take them if they worked together?

Answer :

Answer:

The time taken by both boys to complete work = 2.73 hours

Step-by-step explanation:

Time taken by rayan to dig hole [tex]T_{1}[/tex] = 5 hours

Time taken by castel to dig hole [tex]T_{2}[/tex] = 6 hours

Now the time taken by both persons working together

[tex]T = \frac{T_{1} T_{2} }{T_{1} + T_{2}}[/tex]

Put all the values in above formula we get

[tex]T = \frac{ 30 }{6 + 5}[/tex]

[tex]T = \frac{30}{11}[/tex]

T = 2.73 hours

Therefore the time taken by both boys to complete work = 2.73 hours

Answer:

3.94

Step-by-step explanation: