Answer :
Answer:
Step-by-step explanation:
Nancy's typing rate is
1
8
8
1
of the job per hour, and together with Michael, they can complete the job in 5 hours. So, their combined typing rate is
1
5
5
1
of the job per hour.
Using the formula for combined rates, we have:
1
8
+
=
1
5
8
1
+M=
5
1
Subtract
1
8
8
1
from both sides:
=
1
5
−
1
8
M=
5
1
−
8
1
=
8
40
−
5
40
M=
40
8
−
40
5
=
3
40
M=
40
3
So, Michael's individual typing rate is
3
40
40
3
of the job per hour.
To find out how many hours it would take Michael to do the job alone, we divide 1 (the complete job) by Michael's typing rate:
Time taken by Michael alone
=
1
=
1
3
40
Time taken by Michael alone=
M
1
=
40
3
1
Time taken by Michael alone
=
40
3
Time taken by Michael alone=
3
40
Time taken by Michael alone
≈
13.33
hours
Time taken by Michael alone≈13.33 hours
So, it would take Michael approximately 13.33 hours to do the job alone.
