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GMAT Work/Rate/Time problem.

1/7/2020

0 Comments

 
A piece of work can be done by Rams and Sham in 12 days, by Sham and Hart in 15 days and by Hart and Rams in 20 days. Rams alone will complete the work in how many days?

A. 35
B. 32
C. 30
D. 28
E. 25

Solution:
Set R, S, and H as the respective rates.

Then we have R + S = 1/12,   S + H = 1/15,   H + R = 1/20.

We want to solve for R, we can eliminate S first by subtracting the first two equations with each other:

R - H = 1/12 - 1/15 = (15 - 12) / (12*15) = 3 / (12*15) = 1/60.

We also have R + H = 1/20.

Add these two equations to get: 2R = 1/60 + 1/20 = 1/60 + 3/60 = 4/60 = 1/15.

R = 1/30, so it would take R 30 days to complete the task alone.

Ans: C
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  • Home
  • GMAT
    • Your Best Option for Private GMAT Tutoring >
      • The Value of GMAT Tutoring with Test Prep Unlimited
    • Flat Fee Score Guarantee
    • What's Included in the Full GMAT Course
    • How Much Time We Save You
    • How Much Will My Score Increase After A NonTPU GMAT Class/Course?
    • When To Hire An Expert Private GMAT Tutor >
      • Why You Shouldn't Hire An Inexperienced GMAT Tutor
  • Contact
  • Resources
    • Referral Program
    • TPU GMAT Blog
    • TPU GMAT Forum
    • GMAT Myths Debunked
    • How To Structure Your Study
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    • Credentials
    • Inspirational Math Story
    • CEO Bio
    • Jobs >
      • Description
      • Application