Question

A and B can do a piece of work in 8 and 10 days respectively. A and B
nogether will do the work in :
days (2) 4 days (3) 4 days (4) 5 days​

Answer 1

Answer:

40/9 days

Step-by-step explanation:

find one day work of A

reciprocal of 8

i.e. 1/8

one day work of B

reciprocal of 10

i.e. 1/10

to get one day work of A and B together day one day work of a and B respectively

therefore

1/8 + 1/10= one day work of a and b together

now find L.C.M of 8 and 10 = 40

( 5 + 4 )

___________= 9/40

40

To find total time taken to do the whole work by A and B together do the reciprocal of the work done in one day be A and B

i.e. reciprocal of 9/40

= 40/9

therefore Answer = 40/9

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