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# If David paints houses at the rate of h houses per day, how many house

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Math Expert
Joined: 02 Sep 2009
Posts: 52295
If David paints houses at the rate of h houses per day, how many house  [#permalink]

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07 Jan 2019, 04:21
00:00

Difficulty:

15% (low)

Question Stats:

90% (00:25) correct 10% (01:05) wrong based on 39 sessions

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If David paints houses at the rate of h houses per day, how many houses does he paint in d days, in terms of h and d?

A. h/d
B. hd
C. (h + d)/2
D. h - d
E. d/h

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Joined: 11 Sep 2015
Posts: 3341
Re: If David paints houses at the rate of h houses per day, how many house  [#permalink]

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07 Jan 2019, 06:31
Top Contributor
Bunuel wrote:
If David paints houses at the rate of h houses per day, how many houses does he paint in d days, in terms of h and d?

A. h/d
B. hd
C. (h + d)/2
D. h - d
E. d/h

Given: David can paint h houses in 1 day
This means David can paint dh houses in d days [If we multiply the number of workdays by d, the OUTPUT is also multiplied by d]

Cheers,
Brent
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Manager
Joined: 15 Feb 2018
Posts: 195
Re: If David paints houses at the rate of h houses per day, how many house  [#permalink]

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18 Jan 2019, 00:57
Write out the equation and units. I've put the units in parentheses for clarity

$$\frac{h (houses)}{1 (day)} · d (day) = \frac{h (hours)· d (day)}{1 (day)}$$
Units can cancel

$$\frac{h (houses) d}{1} = hd (houses)$$
Re: If David paints houses at the rate of h houses per day, how many house &nbs [#permalink] 18 Jan 2019, 00:57
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