Tariq can do a tailoring job in 6 hours. Sajid does the same job in 4 hours. Irfan does it in 8 hours . Tariq and Sajid start doing the work .Sajid leaves after two hours and Irfan replaces him.how woud it take to complete the work ?
Answers
Answer:
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There are 2 parts in this problem
In first part, Tariq and Sajid completes the work
In second part, Sajid leaves after 2 hours. Tariq and Irfan completes the work.
First part:
Tariq and Sajid work together for 2 hours
Tariq can do a tailoring job in 6 hours.
Sajid does the same job in 4 hours.
Job - J
J1 = 2/6 + 2/4 = 5/6
Second part:
Irfan can do a tailoring job in 8 hours.
J2 = 1 - J1
= 1 - 5/6
J2 = 1/6
Sajid leaves after two hours and Irfan replaces him
J(2h) = 1/6 + 1/8 = 7/24
Therefore, the time required by Irfan and Tariq to complete the work
T2 = (1/6) ÷ ( 7/24) = 4/7
Time in minutes
= 60 × 4/7 = 34.28 minutes.
Therefore the time required by Irfan and Tariq to complete the work is
34 minutes.
The total time required to complete the work by Tariq, Sajid and Irfan is
2 hours 34 minutes 28 seconds.