Correct option is A
Given:
1. 6 boys can complete the work in 42 hours.
2. We need to find how long it will take for 14 boys to complete the same work.
Formula Used:
Work done is inversely proportional to the number of workers when the total amount of work is constant:
Work Hours1×Number of Workers1=Work Hours2×Number of Workers2
1. Use the formula:
6×42=14×Work Hours2
Work Hours2=146×42
3. Simplify:
Work Hours2=14252=18hours
Final Answer:
14 boys will complete the same piece of work in 18 hours.