Ankit and Bhanu can complete the math summer project in 10 days and 15 days, respectively. They decided to work together during the vacation, but Bhanu left for a trip after some days. Then Ankit finished the remaining work in 5 days. Find the number of days they worked together.
Solve in step by step please give me ans corre
Solve in step by step please give me ans corre
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Ankit= A, Bhanu= B
(A + B)'s 1 day's work = 1/15+ 1/10= 1/6
Work done by A and B in 2 days = 1/6*2 = 1/3
Remaining work = 1 - 1/3= 2/3
Now,
1/15
work is done by B in 1 day.
So,
2/3 work will be done by B in 15 × 2/3
= 10 days
Hence, the total time taken = 10 + 2 = 12 days.
Answer:
The correct option is A
12 days
(A + B)'s 1 day's work =
1/15+1/10
= 1/6
Work done by A and B in 2 days =
1/6 × 2 = 1/3
Remaining work = 1
1/3=2/3
Now,
1/15
work is done by A in 1 day.
So,
2/3
work will be done by A in 15 ×
2/3
= 10 days
Hence, the total time taken = 10 + 2 = 12 days.