CAT Exam

A contractor has two parallel contracts, contract 1 and contract 2, on which work needs to be finishedin a specified number of days. He puts all his group of workers on contract 1. To be able to finish contract2 also on time he withdraws one worker each day, from second day onwards, from work on contract 1.

Work on contract 1 finishes when the last worker is withdrawn. Had no worker been withdrawn at any stage, work on contract 1 would have finished in of the time it actually took to finish the work. What is the total number of workers in the contractors group?

[1] 5

[2] 10

[3] 15

[4] 20

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CAT Other Question
If A can complete a work in 12 days, B in 5 days, then find the time (in days) taken by them in each of the cases listed below :

(a) When and work together.

(b) When and work alternatively, and work is started by A.

(c) If starts two days later, in comparison to A Two racing cars have a relative speed of 12 km per hour. If the faster car travels at a speed of 164 km per hour, what is the speed of the slower car?