If 6 people are required to complete a work in 1 hour 20 minutes, then how long will only 5 people take to complete the same work?
- A105 minutes
- B90minutes
- C96 minutes
- D100 minutes
Solution & Step-by-step Explanation
First, let's convert the given time into minutes:
1hour 20minutes=60+20=80minutes
Since the number of people and the time taken are inversely proportional:
M
1
×D
1
=M
2
×D
2
Where:
M
1
=6 people
D
1
=80 minutes
M
2
=5 people
D
2
=time required for 5 people
Substituting the values:
6×80=5×D
2
480=5×D
2
D
2
=
5
480
=96minutes
Therefore, 5 people will take 96 minutes to complete the same work.
1hour 20minutes=60+20=80minutes
Since the number of people and the time taken are inversely proportional:
M
1
×D
1
=M
2
×D
2
Where:
M
1
=6 people
D
1
=80 minutes
M
2
=5 people
D
2
=time required for 5 people
Substituting the values:
6×80=5×D
2
480=5×D
2
D
2
=
5
480
=96minutes
Therefore, 5 people will take 96 minutes to complete the same work.