A job can be done by a man in 4 hours, while a boy can do the same job in 8 hours. The man works alone for 1 hour and is then joined by the boy to help him complete the job. After making the corresponding statement, answer the following. Part 1: If T represents the total work and "x" represents the time that the boy works, identify the fraction of the work that the man (H) and the boy (M.) do.
Question
Answer:
Let's represent the total work as T and the time the boy works as x.
Since the man works alone for 1 hour, he completes 1/4 of the job in that time. This means the fraction of work done by the man (H) is 1/4.
When the boy joins, he works for x hours. Since the boy can complete the job in 8 hours, he completes x/8 of the job. This means the fraction of work done by the boy (M) is x/8.
Therefore, the fractions of work done by the man and the boy can be represented as follows:
Fraction of work done by the man (H): 1/4
Fraction of work done by the boy (M): x/8
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