Question

if ram finishes a work in 15 days and shyam finishes that work in 10 days.if both work together in how many days they will finish that work.​

Answer 1

Given:

Ram finishes the work in 15 days

Shyam finishes the work in 10 days

To Find:

The number of days needed if they worked together

Solution:

Find the amount of work Ram can do in a day:

Ram finishes the work in 15 days

1 day = 1/15 of the work

Find the amount of work Shyam can do in a day:

Shyam finishes the work in 10 days

1 day = 1/10 of the work

Find the amount of work they can finish in a day together:

Ram + Shyam = 1/15 + 1/10

Ram + Shyam = 1/6

Find the number of days needed:

Work done is a day = 1/6

Number of days needed = 1 ÷ 1/6

Number of days needed = 6

Answer: They will finish the work in 6 days.

Answer 2

Step-by-step explanation:

according to the question

ram one days work=1/15

shyam one days work=1/10

if bot do the work together then work done by them in one day=1/10+1/15

so least common multiple of 10 and 15 =30

so (3+5)/30=work done by them together in one day

so we get 8/30 hence time taken to do the total work=30/8 days