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Timon and Pumba are two friends. A total of Rs. 960 was paid to both of them for completing a work. Timon started working and worked for ‘x’ days and then left and the remaining work was completed by Pumba and he was paid Rs. 540. If Timon and Pumba alone can complete the work in 6 days and 12 days resp. find the value of x.
4.505 days
3.674 days
5.220 days
2.625 days
Total work (LCM of 6 and 12) = 12 units Money paid to complete the total work = 960/12 = Rs. 80 Number of units of work completed by Pumba = 540/80 = 6.75 units Number of units of work completed by Timon = 12 – 6.75 = 5.25 units Number of days taken(x) to complete 5.25 units by Timon = 5.25/2 = 2.625 days
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