Question 11.
15 men can mow 40 hectares of land in 1 day. How much will 6 men mow in 1 day?
(a) 16 hectares
(b) 12 hectares
(c) 20 hectares
(d) 24 hectares.
Answers
Answer:
QUESTION :-
Q. 15 men can mow 40 hectares of land in 1 day. How much will 6 men mow in 1 day?
(a) 16 hectares
(b) 12 hectares
(c) 20 hectares
(d) 24 hectares
SOLUTION :-
here it's given that 15 men can mow 40 hectares of a land in one day.
what if we changed 15 men into 6 men for a day does it effect the number of hectors ?
yes it is , because it is in the direct proportion.
back to question :-
lets take the number of hectares can mow by 6 men in a day will be "x"
since the land is same
15 men can mow 40 hectares of land in 1 day
= 15/40
6 men can mow x hectares of land in 1 day
= 6/x
→ 15/40 = 6/x
• [ transpose "6" to the LHS ]
→ 40×6/15 = x
• [ Multiply "6×40" ]
→ 240/15 = x
• [ divide the numerator "240" by "15" ]
∴ x = 16
so in conclusion , 6 men can mow 16 hectors in a day
so options a) 16 hectares is the correct option.
more to know ↓
- what is direct proportion ?
→ direct proportion is a state where both quantity increase and decrease together , if one of the quantity decreases then others quantity will decrease too
Answer:
(a) 16 hectares
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