**Question 1:**
If Lynn can type a page in \( p \) minutes, what piece of the page can she do in 5 minutes?
A. \(\frac{5}{p}\)
B. \(p - 5\)
C. \(p + 5\)
D. \(\frac{p}{5}\)
E. \(1 - p + 5\)
**Question 2:**
If Sally can paint a house in 4 hours, and John can paint the same house in 6 hours, how long will it take for both of them to paint the house together?
A. 2 hours and 24 minutes
B. 3 hours and 12 minutes
C. 3 hours and 44 minutes
D. 4 hours and 10 minutes
E. 4 hours and 33 minutes
Answer (2)
1. p ( min ) 5 ( min ) − − 1 ( p a g e ) x ( p a g es ) cross m u lt i pl y : p ⋅ x = 5 ⋅ 1 p x = 5 / : p x = p 5 A n s w er : D .
1 h o u se → 4 h : S a ll y 1 h o u se → 6 h : J o hn 4 1 + 6 1 = 4 ⋅ 3 1 ⋅ 3 + 6 ⋅ 2 1 ⋅ 2 = 12 3 + 12 2 = 12 5 → 5 h o u ses → 12 h : t o g e t h er 5 h o u ses → 12 h / : 5 1 h ose → ( 12 : 5 ) h = 5 12 h = 2 5 2 h = 2 5 ⋅ 12 2 ⋅ 12 h = 2 60 24 h = 2 h 24 min A n s w er : A
For Question 1, Lynn types p 5 of the page in 5 minutes, so the answer is option A. For Question 2, Sally and John can paint the house together in 2 hours and 24 minutes, which corresponds to option A as well.
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