Q1 Bob Can Overhaul A Boat's Diesel Inboard Engine In 15 Hou

Q1 Bob Can Overhaul A Boats Diesel Inboard Engine In 15 Hours His A

Bob can overhaul a boat's diesel inboard engine in 15 hours. His apprentice takes 30 hours to do the same job. How long would it take them working together assuming no gain or loss in efficiency? a. 10 hr b. 45 hr c. 6 hr d. 4 hr

Bob's work rate is 1/15 engines per hour, and his apprentice's work rate is 1/30 engines per hour. Combining their work rates gives (1/15 + 1/30) engines per hour, which simplifies to (2/30 + 1/30) = 3/30 = 1/10 engines per hour. Therefore, working together, they can overhaul 1 engine in 10 hours.

The correct answer is: a. 10 hr.

Paper For Above instruction

Problem 1 involves finding the combined work rate of Bob and his apprentice to determine how long they would take to complete the job together. The individual work rates are obtained by taking the reciprocal of the time each person takes to complete the job. Summing the work rates gives the combined rate, which is then used to find the total time as the reciprocal of this combined rate. The calculations reveal that working together, they can overhaul the engine in 10 hours.

Understanding rates and combining work efficiencies are fundamental in solving work-related problems. This approach applies to various fields such as engineering, project management, and operations optimization.

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