Marcus can build t tree houses in h houses. How many tree houses can h

Question

Marcus can build t tree houses in h hours. How many tree houses can he produce in m minutes and s seconds?

a. (60mt+s)/3600h

b. (60m+s)/3600h

c. t(60m+s)/3600h

d. (60mt)/3600h

e. t(m+s)/3600h

Thanks!

KarishmaB · Accepted Answer

t houses in h hours
t houses in 60h mins
In m mins, (t/60h)*m

t houses in h hours
t houses in 3600h secs
In s secs, (t/3600h)*s

No of houses built in m mins and s secs = (t/60h)*m + (t/3600h)*s houses

= (mt60 + st)/3600h houses

= t(60m + s) / 3600h houses

Answer (C)

Alternatively, plug in values. Say he builds 10 houses (t = 10) in 1 hr (h = 1). 
He builds 10 houses in 59 mins (m = 59), 60 secs (s = 60).

Now just plug in these values to see which option gives you 10.

yaserafriend · Answer

Please explain the solution.

Posted from my mobile device

adkikani · Answer

chetan2u   Bunuel   VeritasKarishma   Gladiator59

Please advise for units conversion and how to proceed from knowing initial rate as 
t/h hrs? Does t remain constant when we add m mins and s secs?

m1033512 · Answer

My two cents

t houses in h hours =h*60*60 seconds

so per second house constructed = t/(h*3600 )

now

m minute = m*60 seconds

so total time = 60m+s seconds

house constructed = per second house constructed* total time in seconds

(60m+s)t/(h*3600)

IMO C

award kudos if helpful

Posted from my mobile device

GMATinsight · Answer

CONCEPT :  \frac{(Machine_Power * Time)}{Work} = Constant

i.e.  \frac{(M_1 * T_1)}{W_1} = \frac{(M_2 * T_2)}{W_2}

h hours = 3600*h seconds and m minutes and s seconds = 60m+s seconds

i.e.  \frac{(M * h*3600)}{t} = \frac{(M * (60m+s))}{W_2}

i.e. W_2 = (60m+s)*t/3600h

Answer: Option C

I hope this helps!!!

Archit3110 · Answer

m minutes and s seconds in hours will be 
m/60 + s/3600 
we can say 1 h = 60m+s/3600

so total houses built in 1 hr ; t/h
or say

t*(60m+s)/3600h

IMO C

rickyreign · Answer

in h hour houses built = t
in 1 houses built = t/h
in m/60 houses built = (t/h)*(m/60) Eq 1
in s/3600 houses built = (t/h)*(s/3600) Eq 2
Addin Eq 1 & 2 gives us
t(60m+s)/3600h i.e C

AkshdeepS · Answer

Rate of Marcus = \frac{t}{h}

Rate of Marcus = t/3600 (Rate per second)

Work = W

Time =   m  minutes + s  seconds

Time =   60m + s  (minutes converted to seconds)

We know,

Work = Rate * Time

Work =   \frac{t}{h} (60m + s)

Work =   \frac{t}{3600}(60m+s)

C

notyarb · Answer

Marcus’s rate of building is t/h tree houses per hour

The time given is m minutes and s seconds:

m minutes = m/60 hours,
s seconds = s/3600 hours.
 
So total time in hours is:

m/60 + s/3600 = (60m + s)/ 3600

Tree houses built:
t/h × (60m + s)/3600 = t(60m + s)/ 3600h

C

notyarb · Answer

Marcus’s rate of building is t/h tree houses per hour

The time given is m minutes and s seconds:

m minutes = m/60 hours,
s seconds = s/3600 hours.

So total time in hours is:

m/60 + s/3600 = (60m + s)/ 3600

Tree houses built:
t/h × (60m + s)/3600 = t(60m + s)/ 3600h

C

Marcus can build t tree houses in h houses. How many tree houses can h

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

Marcus can build t tree houses in h houses. How many tree houses can h

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards