Question

Ram,shyam and hari can do a work in 20,30 and 60days respectively.In how many days, Ram would complete the work if Shyam and Hari help Ram working alternately?

Answer 1

Answer:

14 days

Step-by-step explanation:

Ram can complete work in 20 days, daily progress= 1/20

Shyam can complete work in 30 days, daily progress= 1/30

Hari can complete work in 60 days, daily progress= 1/60

Ram gets help from Shyam and Hari alternately:

day 1- they complete:

• 1/20+1/30= 5/60 of work

day 2- they complete:

• 1/20+1/60= 4/60 of work

Every 2 days they complete:

• 5/60+4/60= 9/60 of work

To complete full work they need:

• 2*60/9= 13.33 days so roughly 14 days

Answer: Ram would need 14 days to complete work

Answer 2

Answer:

15

Step-by-step explanation:

Amount of work ram can do in 1 day = 1/20

Amount of work shyam can do in 1 day = 1/30

Amount of work hari can do in 1 day = 1/60

ram is working alone and every third day shyam and hari is helping him

Work completed in every three days = 2 × (1/20) + (1/20 + 1/30 + 1/60) = 1/5

So work completed in 15 days = 5 × 1/5 = 1

Ie, the work will be done in 15 days