Question

Working alone Ryan can dig a 10ft by 10ft hole in five hours castel can dig the same same hole in six how long would it take them if they both worked together

Answer 1

Answer:

The time taken by both when they work together is 2 hours 42 minutes .

Step-by-step explanation:

Given as :

The time taken by Ryan to dig 10 ft by 10 ft hole = x = 5 hours

The time taken bu Castel to dig 10 ft by 10 ft hole = y = 6 hours

Let The time taken by both when they work together = z hours

According to question

The time taken by both when they work together = time taken by Ryan to dig 10 ft by 10 ft hole + time taken bu Castel to dig 10 ft by 10 ft hole

i.e $\dfrac{1}{z}$ = $\dfrac{1}{x}$ + $\dfrac{1}{y}$

Or,  $\dfrac{1}{z}$ = $\dfrac{1}{5}$  +  $\dfrac{1}{6}$

Taking LCM

Or,  $\dfrac{1}{z}$ = $\dfrac{6 + 5}{30}$

Or,  $\dfrac{1}{z}$ = $\dfrac{11}{30}$

Or, z = $\dfrac{30}{11}$   hours

∴  z = 2 hours 42 minutes

So, The time taken by both when they work together = z = 2 hours 42 min

Hence, The time taken by both when they work together is 2 hours 42 minutes . Answer