a can do a piece of work in 6 days and B can do it in 8 days. How long will they take to compltet it together?
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Answer:
given,
☞ no. of days 'a' takes to complete the whole work = 6
☞ no. of days 'b' takes to complete the whole work = 8
To find,
☞ no.of days both 'a' & 'b' take to complete the work = ??
step 1:
☞ amount of work 'a' completes in one day = whole work/total no. of days.
☞ therefore, amount of work 'a' completes in one day = 1/6
☞ amount of work 'b' completes in one day = whole work/total no. of days.
☞ amount of work 'b' completes in one day = 1/8
step 2:
☞ amount of work both'a' & 'b' complete in one day = 1/6+1/8 = 7/24
☞ therefore, no of days both'a' & 'b' take to complete the whole work = whole work/amount of work done in one day.
☞ therefore, no of days both'a' & 'b' take to complete the whole work = 1÷7/24 = 1×24/7 = 24/7 = 3¾ days.
Hope this answer is helpful .
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Yes I guess you can if u have faith
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