2. Arul, Ravi and Ram working together can clean a store in 6 hours. working alone,Ravi takes twice as long to clean the store as Arul does. Ram needs three times as
long as Arul does. How long would it take each if they are working alone.
Answers
Answer: Arul=11hrs Ravi=22hrs Ram=33hrs
Step-by-step explanation:
Arul done work in x hrs
In one hr = 1/x
Ravi done work in y hrs
In one hr = 1/y
Ram done work in z hrs
In onr hr = 1/z
Work done together= 1/x + 1/y + 1/z = 1/6 ....... 1
Ravi takes twice as long to clean the store as Arul does
1/y = 1/2x
2x-y= 0 ...... 2
Ram needs three times as long as Arul does
1/z = 1/3x
3x-z= 0 ...... 3
Substituting 2 and 3 in 1
1/x + 1/2x + 1/3x = 1/6
On solving
x= 11 ........4
Substituting 4 in 2 and 3
y= 22
z= 33
Answer:
Arul, Ravi and Ram would take 11 hrs, 22 hrs and 33 hrs respectively.
Step-by-step explanation:
Let the time taken by Arul, Ravi, Ram to clean the store be “x”, “y” and “z” respectively.
From Given, y=2x, z=3x
Let “w” be the quantum of work to be done to clean the store.
Therefore, Work done by Arul, Ravi, Ram in 1 hr be “1/x”, “1/2x” and “1/3x” respectively.
1/x + 1/2x + 1/3x =1/6
(6+3+2)/6x = 1/6
11/6x = \1/6
66 = 6x
x = 66/6
x = 11 hrs
y = 2x = 2*11 = 22 hrs
z = 3x = 3*11 = 33 hrs
HOPE IT HELPS !