A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :
📊 Work and Time Calculation 📊
A’s work rate = 1/15 (work done per day)
B’s work rate = 1/10 (work done per day)
Combined work rate of A and B = A’s work rate + B’s work rate
= 1/15 + 1/10
= (2 + 3) / 30
= 5/30
= 1/6 (work done per day)
Work done by A and B together in 2 days = 2 days × (1/6)
= 2/6
= 1/3 of the work
Remaining work = 1 – 1/3 = 2/3 of the work
Time taken by A to complete the remaining work = Remaining work / A’s work rate
= (2/3) / (1/15)
= 2/3 × 15
= 10 days
Total time taken to complete the work = 2 days (A and B together) + 10 days (A alone)
= 12 days
🎉 The whole work was completed in 12 days. 📊
