Maria exercises for \(2 \frac{1}{7}\) hours every Saturday. She runs for \(\frac{1}{3}\) of the time that she exercises. How much time does she spend running every Saturday?
Answer (3)
2 7 1 ∗ 3 1 = 7 15 ∗ 3 1 = 7 ∗ 3 15 ∗ 1 = 21 15 = 7 5 7 5 ∗ 60 = 7 5 ∗ 60 = 7 350 = 42 , ( 857142 ) min ≈ 42.86 min
The question asks us to determine how much time Maria spends running each Saturday given that she exercises for 2 1/7 hours and runs for 1/3 of that time. To solve this, first we need to convert 2 1/7 hours to an improper fraction, which is (2×7 + 1)/7 = 15/7 hours. Since she runs for 1/3 of the exercise time, we multiply 15/7 by 1/3 to find the time spent running:
(15/7) × (1/3) = 15/21 = 5/7 hours
To convert 5/7 hours to minutes, we multiply by 60 minutes (1 hour = 60 minutes), giving us:
(5/7) × 60 minutes = 300/7 minutes = approximately 42.86 minutes
Therefore, Maria spends approximately 42.86 minutes running every Saturday.
Maria exercises for 2 7 1 hours, which converts to 7 15 hours. She spends 7 5 hours running, which is approximately 42.86 minutes. Thus, Maria runs for about 42.86 minutes each Saturday.
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