Form 9: Work Rate and Business Systems
Formulate and solve linear systems based on business productivity, combined work rates, and task completion times.
Questions
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MultiChoice
An experienced painter and apprentice work together. 5 hours of experienced work and 8 hours of apprentice work costs $245. 8 hours of experienced and 4 hours of apprentice work costs $260. Find hourly rates.
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MultiChoice
3 hours of senior tech time and 5 hours of junior tech time costs $220. 4 hours of senior tech time and 2 hours of junior tech time costs $200. Find senior tech hourly rate.
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MultiChoice
A chef and assistant work a party. 6 hours chef + 4 hours assistant = $270. 4 hours chef + 8 hours assistant = $260. Find chef's hourly rate.
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MultiChoice
2 hours plumber + 3 hours helper = $195. 4 hours plumber + 1 hour helper = $265. Find helper's rate.
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MultiChoice
5 hours mechanic + 2 hours intern = $290. 3 hours mechanic + 6 hours intern = $270. Find mechanic's hourly rate.
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MultiChoice
4 hours tutor + 5 hours assistant = $180. 6 hours tutor + 2 hours assistant = $204. Find tutor's hourly rate.
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MultiChoice
3 hours master + 4 hours apprentice = $330. 5 hours master + 2 hours apprentice = $410. Find master rate.
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MultiChoice
2 drivers + 4 movers work 1 hour for $100. 3 drivers + 2 movers work 1 hour for $90. Find driver rate per hour.
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MultiChoice
2 hours consultant + 5 hours analyst = $450. 4 hours consultant + 2 hours analyst = $500. Find consultant hourly rate.
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MultiChoice
4 hours landscaper + 3 hours helper = $185. 2 hours landscaper + 6 hours helper = $160. Find helper rate per hour.
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MultiChoice
5 hours tailor + 3 hours assistant = $156. 2 hours tailor + 7 hours assistant = $132. Find tailor rate per hour.
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MultiChoice
3 hours mason + 5 hours laborer = $235. 6 hours mason + 2 hours laborer = $310. Find mason rate per hour.