Arithmetic Ability
Time and Work

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Q.

K can build a wall in 30 days. L can demolish that wall in 60 days. If K and L work on alternate days, when will the wall be completed ?

View Answer

Correct choice: D

Explanation:

K's work in a day(1st day) = 1/30 L's work in a day(2nd day)= -1/60(demolishing) hence in 2 days, combined work= 1/30 - 1/60 =1/60 since both works alternatively, K will work in odd days and L will work in even days. 1/60 unit work is done in 2 days 58/60 unit work will be done in 2 x 58 days = 116 days Remaining work = 1-58/60 = 1/30 Next day, it will be K's turn and K will finish the remaining 1/30 work. hence total days = 116 + 1 = 117.
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