1. There’s a lot of work in preparing a birthday dinner. Even after the turkey is in the oven, there’s still the potatoes and gravy, yams, salad, and cranberries, not to mention setting the table.Three friends — Asit, Arnold and Afzal — work together to get all of these chores done. The time it takes them to do the work together is 6 hr less than Asit would have taken working alone, 1 hr less than Arnold would have taken alone, and half the time Afzal would have taken working alone. How long did it take them to do these chores working together?
Write Comment
Comments
By: anil on 05 May 2019 02.31 am
Let the time taken working together be t.
Time taken by Arnold = t+1
Time taken by Asit = t+6
Time taken by Afzal = 2t
1/(t+1) + 1/(t+6) + 1/2t = 1/t
From the options, if time = 40 min, that is, t = 2/3
3/5 + 3/20 + 3/4 = (12+3+15)/20 = 30/20 = 3/2 = 1/t
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use
Time taken by Arnold = t+1
Time taken by Asit = t+6
Time taken by Afzal = 2t
1/(t+1) + 1/(t+6) + 1/2t = 1/t
From the options, if time = 40 min, that is, t = 2/3
3/5 + 3/20 + 3/4 = (12+3+15)/20 = 30/20 = 3/2 = 1/t