Ajay can do a piece of work in 10 hours . Vijay can do the same work in 12…
2026
Ajay can do a piece of work in 10 hours . Vijay can do the same work in 12 hours and Ram in 6 hours .Ajay , Vijay and Ram starts the same work at 9am , while Ajay stops at 11am , the remaining two complete the work .What time will the work complete?
- A.
01.36 am
- B.
12.12 pm
- C.
12.56 pm
- D.
11.45 pm
Attempted by 686 students.
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Correct answer: B
Answer: 12:12 pm
Work through the problem step by step:
Choose total work = 60 units (LCM of 10, 12, 6).
Hourly rates: Ajay = 60/10 = 6 units/hr, Vijay = 60/12 = 5 units/hr, Ram = 60/6 = 10 units/hr.
All three work from 9:00 to 11:00 (2 hours): work done = 2*(6+5+10) = 42 units.
Remaining work = 60 - 42 = 18 units.
Vijay and Ram together do 5 + 10 = 15 units/hr, so time to finish remaining = 18/15 = 6/5 hr = 1 hr 12 min.
Finish time = 11:00 + 1:12 = 12:12 pm.
Therefore the work is completed at 12:12 pm.