If Elier can bake c cakes in h hours, then at this rate how many hours

Question

If Elier can bake c cakes in h hours, then at this rate how many hours will it take him to bake 777 cakes?

A.  777ch

B.  \frac{777h}{c}

C.  \frac{h}{777c}

D.  \frac{777c}{h}

E.  \frac{c}{777h}

gmatlover12 · Answer

If Elier can run c meters in h hours, how many hours will it take for him to run 777 meters?

He rund 1 meter in  \frac{h}{c}  hours, so he runs 777 meters in 777 \frac{h}{c}  hours. Or bakes.

Abhishek009 · Answer

Efficiency of Elier is  \frac{c}{h}  cakes per hour

She needs to bake  777  cakes , so the time required is  \frac{777h}{c} , Answer must be (B)

CAMANISHPARMAR · Answer

\frac{c}{h}  will give cakes baked per hour. 
 \frac{(Total No. of cakes baked)}{(Rate of cakes baked per hour)}  = Time taken to bake total cakes. 
Therefore time taken is  \frac{777}{(c/h)}  or  \frac{777h}{c}

Option B is the correct answer.

ScottTargetTestPrep · Answer

Elier’s rate is c/h, so it will take him 777/(c/h) = 777h/c hours to bake 777 cakes.

Alternate Solution:

We can set up a proportion to solve this problem, letting x = the number of hours to bake 777 cakes:

c/h = 777/x

cx = 777h

x = 777h/c

Answer: B

If Elier can bake c cakes in h hours, then at this rate how many hours

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

If Elier can bake c cakes in h hours, then at this rate how many hours

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