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Typist A types for 2 hours and B for 3 hours to finish a report. Or A types 1 hour and B 4 1/2 hours. How long would B take alone?

Class 10Work Rates with Two UnknownsAlgebra — Systems of Equations

A4 hours
B6 hours
C5 hours
D9 hours

Step-by-Step Solution

2 a + 3 b = 1, a + \frac{9}{2} b = 1

. Double the second:

2 a + 9 b = 2

. Subtract:

6 b = 1, b = \frac{1}{6}

.

Answer: B) 6 hours

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