Time taken by 3 Girl and 2 Boys to complete a work is 4 days
the work done 5 girl is 7 days more than work done by 4 boys. The number of days in
which work is completed by a boy and girl working together is?
Answers
Given :- Time taken by 3 Girl and 2 Boys to complete a work is 4 days . The work done by 5 girl is 7 days more than work done by 4 boys.
To Find :- The number of days in which work is completed by a boy and girl working together is ?
Answer :-
Let us assume that,
- Efficiency of a girl = G unit/day .
- Efficiency of a boy = B unit/day .
so,
→ Total work = 4 * (3G + 2B) units .
now,
→ 5G completes the total work in = {(12G + 8B)/5G} days .
and,
→ 4B completes the total work in = {(12G + 8B)/4B} days .
A/q,
→ {(12G + 8B)/5G} - {(12G + 8B)/4B} = 7
→ (48GB + 32B² - 60G² + 40GB)/20GB = 7
→ 32B² - 60G² + 88GB = 140GB
→ 4(8B² - 15G²) = 140GB - 88GB
→ 8B² - 15G² = 13 .
given data is incorrect to solve the problem .
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Answer:
Given :- Time taken by 3 Girl and 2 Boys to complete a work is 4 days . The work done by 5 girl is 7 days more than work done by 4 boys.
To Find :- The number of days in which work is completed by a boy and girl working together is ?
Answer :-
Let us assume that,
Efficiency of a girl = G unit/day .
Efficiency of a boy = B unit/day .
so,
→ Total work = 4 * (3G + 2B) units .
now,
→ 5G completes the total work in = {(12G + 8B)/5G} days .
and,
→ 4B completes the total work in = {(12G + 8B)/4B} days .
A/q,
→ {(12G + 8B)/5G} - {(12G + 8B)/4B} = 7
→ (48GB + 32B² - 60G² + 40GB)/20GB = 7
→ 32B² - 60G² + 88GB = 140GB
→ 4(8B² - 15G²) = 140GB - 88GB
→ 8B² - 15G² = 13 .
given data is incorrect to solve the problem .
Step-by-step explanation: