Aptitude Day 303

Problems on Chain rule:

1. A man completes 2/3 of a job in 6 days. At this rate, how many more days will it take him to finish the job?

Solution:

                 Remaining work = 1-2/3 = 1/3.

                 2/3 : 1/3 ::  6: x         (Direct Proportion)

                 2/3*x = 6/3

                 x = 3 days.

2. 6 mat-weavers can weave 6 mats in 6 days. At the same rate, how many mats would be woven by 12 mat-weavers in 12 days?

Solution:

                  Number of weavers = 6: 12                                                          (Direct proportion)

                                                                         :: Number of mats = 6: x

                  Number of days = 6: 12                                                                (Direct proportion)

                  6*6*x = 12*12*6

                  x = 24 mats.