Question

A can do 1/3 of a work in 5 days and bcan do 2/3 of the work in 10 days. in how many days both a and b together can do the work​

Answer 1

Answer:

This approach looks time-consuming. It isn't. Find and add rates. Work is 1; flip the rate to get the number of days it would take A and B, working together, to finish.

RATES: To find rates, use

A's rate, in :

B's rate:

Add rates of A, , and B, , with LCM of 75.

COMBINED RATE of A and B:

TIME: How many days does it take them, working together, to finish the job?

Job = 1

When work is 1, rate and time are inversely proportional.

Invert the combined rate, , to get the time: days, OR

Answer C

Answer 2

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GIVEN :-

⅓ = 5 Days.

⅔ = 10 Days.

TO FIND :-

How many days both a and b together can do the work?

SOLUTION :-

A - ⅓rd of work in 5 days.

So A takes 15 days to complete the work.

Similarly B can do 2/3 of the work in 10 days,

So, B can complete the work in 23 days.

Taking total work

By taking LCM.

= 75 Efficiency of A = 75/15 = 5

Efficiency of B = 75/24 = 3

Number of days taken if A and B work together

= 75/8 = 9.4 days