At a college NSS camp, there is food provisions for 320 students for 38days. If 60 more students join the NSS camp on the first day itself, then for how many days will the provisions last?
- A34
- B35
- C33
- D32
Solution & Step-by-step Explanation
This is a problem of inverse variation, using the formula:
M
1
×D
1
=M
2
×D
2
Given:
Initial number of students (M
1
) = 320
Initial number of days (D
1
) = 38
New number of students (M
2
) = 320+60=380
Let the number of days the food lasts be D
2
.
Substituting the values:
320×38=380×D
2
D
2
=
380
320×38
D
2
=
10
320×1
=32days
M
1
×D
1
=M
2
×D
2
Given:
Initial number of students (M
1
) = 320
Initial number of days (D
1
) = 38
New number of students (M
2
) = 320+60=380
Let the number of days the food lasts be D
2
.
Substituting the values:
320×38=380×D
2
D
2
=
380
320×38
D
2
=
10
320×1
=32days