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# math

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Henry took a test with three sections, A, B and C. He spent 1/5 of his time on Section A and 1/3 of the remaining time one Section B. He spent 48 minutes on Section C. How much time did Henry take to complete the test?

Mar 27, 2022

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Ans: $$90 \text{ minutes.}$$

$$1-{1\over5}={4\over5}$$

$${4\over5}\cdot{1\over3}={4\over15}$$

$${1\over5}+{4\over{15}}={7\over{15}}$$

$$1-{7\over15}={8\over15}$$

$${8\over15}\cdot\text{total time of the test}=48$$

$$\text{total time}=48\cdot{15\over8}=6\cdot15=90\text{ minutes, or } 1 \text{hr. }30\text{ minutes.}$$

Mar 27, 2022