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QualityOfLife: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Tue Jun 12, 2007 6:16 am; Location: Atlanta, GA

Quick Question

by QualityOfLife » Tue Oct 02, 2007 12:16 am

It takes Mia 5 hours, reading at a constant rate, to read a certain book containing 200 pages of reading material. If Samantha reads at twice this rate, how many MINUTES would it take her to read 100 pages of reading material?

I am drawring the biggest blank...I feel like a fool!

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Source: Beat The GMAT — Problem Solving | Tue Oct 02, 2007 12:16 am

mschling52: Master | Next Rank: 500 Posts; Posts: 105; Joined: Mon Sep 18, 2006 12:34 pm; Location: OH; Thanked: 7 times; GMAT Score:780

by mschling52 » Tue Oct 02, 2007 5:19 am

Use the distance = rate x time formula (just consider pages read as distance). We are given

200 pages = (rate) x (5 hours)

Dividing both sides by 5 hours we can solve for the current rate...

40 pages/hour = rate.

Then, twice this rate would be 80 pages/hour. We want to know how long it would take to read 100 pages at this rate, so solve the d=rt equation for time...

100 pages = (80 pages/hour)x(time)

Dividing both sides by 80 pages/hour gives us

1.25 hours = time

The last step is to convert this 1.25 hours to minutes

(1.25 hours)x(60 minutes/hour) = 75 minutes

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beatthegmat: Site Admin; Posts: 6778; Joined: Mon Feb 13, 2006 8:30 am; Location: Los Angeles, CA; Thanked: 1249 times; Followed by:994 members

by beatthegmat » Tue Oct 02, 2007 11:35 am

Moved this thread to the PS section

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