Malik owns a small snowplow company with three private plows. Malik operates one plow during snowstorms, along with employees Jake and Manuel. They need to plow a very large parking lot. When all three of them work together, they can plow the entire lot in 220 minutes. Malik and Jake had worked together once and plowed the entire lot in 310 minutes between the two of them. After one particular storm, all three worked together for 20 minutes, after which Malik had to leave. Jake and Manuel required 320 more minutes to finish the lot. Assuming no loss or gain in efficiency, how long would it take each person to complete the entire job alone?
Malik owns a small snowplow company with three private plows. Malik operates one plow during snowstorms, along with employees Jake and Manuel. They need to plow a very large parking lot. When all three of them work together, they can plow the entire lot in 220 minutes. Malik and Jake had worked together once and plowed the entire lot in 310 minutes between the two of them. After one particular storm, all three worked together for 20 minutes, after which Malik had to leave. Jake and Manuel required 320 more minutes to finish the lot. Assuming no loss or gain in efficiency, how long would it take each person to complete the entire job alone?
Round final answers to 1 decimal place accuracy. Do not round intermediate steps. Show your complete system of equations & MATRIX FORM in your notes. Use the calculator to solve a matrix. SHOW THE DECIMAL NUMBERS BEFORE MOVING ON TO MATRIX.
It would take Malik _____ minutes to plow the lot;
It would take Jake _____ minutes to plow the lot; and
It would take Manuel _____ minutes to plow the lot.
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