Question

X can do a piece of work in 3 days why can do it in 9 days and z in 4 whole 1 upon 2 day how long will they take to do the work if all work together​

Answer 1

Let the total work be of 9 units ( LCM of 3 , 9 , 4.5 days)

given that X can do total work in 3 days

=> X can do a work of 3 units per day

given that Y can do total work in 9 days

=> Y can do work of 1 unit per day

also given Z can do total work in 4.5 days

=> Z can do work of 2 units per day

so when they woke together , no.of units of work they can do = ( 3 + 1 + 2 ) = 6 units

so no.of days they required to do total work together = ( total work / no.of units of work per day ) = ( 9 / 6 )

=> 1 whole 1 upon 2 days or 1.5 days

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