A and B can complete a work in 10 and 12 days respectively. They started working together after three day A left the work in how many days the whole work will complete?
A और B एक काम को 10 और 12 days में करसकते हैं दोनों ने साथ में किया काम शुरू किया और तीन दिन बाद में उसने काम छोड दिया बताओ पूरा काम कितने दिन में हुआ?
This Question Asked In:
SSC, CGL
Correct Answer :A - 42/5
Detailed Text Solution
Given:
A can complete the work in 10 days
B can complete the work in 12 days
Formula Used:
Time taken = Total work / Efficiency
Calculation:
A’s one-day work = 1/10
B’s one-day work = 1/12
Work done by A and B together in 3 days
= (1/10 + 1/12) × 3
= (11/60) × 3
= 11/20
Remaining work
= 1 − 11/20
= 9/20
Time taken by B to complete remaining work
= (9/20) ÷ (1/12)
= 9/20 × 12
= 27/5 days
Total time taken
= 3 + 27/5
= (15 + 27) / 5
= 42/5 days
Final Answer:
Total time taken to complete the work = **42/5 days**