Bunuel wrote:
Linda takes 4 hours to do a job, whereas Bob takes 6 hours to do the same job. They worked together at their respective rates but Bob took two breaks of equal duration during the time. Despite that, the two of them were able to complete the job in 2 hours 30 minutes. What is the duration of each break that Bob took. ?
(A) 60 seconds
(B) 90 seconds
(C) 450 seconds
(D) 240 seconds
(E) 270 seconds
My Approach.
Assume work to be 24 Units (Because LCM)
Linda does 6 units and Bob does 4 units each hour to achieve 24 units of work.
If they are working together, Linda does 15 units of work in 2.5 hours and Bob should have done 10 units of work. (should because we know he took a break).
So basically he did one unit of work less of his own capacity for which he takes (15 minutes). and since that is 2 breaks of equal time, the break time is 7.5 minutes each.
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