GMAT Prep: Distance and Speed problem

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rookieingmat: Junior | Next Rank: 30 Posts; Posts: 11; Joined: Mon Jun 23, 2008 1:42 pm

GMAT Prep: Distance and Speed problem

by rookieingmat » Sun Jun 29, 2008 4:57 pm

Adam and Beth each drive from Smallville to Crown City by different routes. Adam drove at an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer and it took her 20 minutes more than Adam to complete the trip. How many miles per hour was Beth's average speed on this trip?

A. 24
B. 30
C. 48
D. 54
E. 75

Could someone shed light on this problem?

Quote

Source: Beat The GMAT — Problem Solving | Sun Jun 29, 2008 4:57 pm

gmataspirant: Senior | Next Rank: 100 Posts; Posts: 52; Joined: Mon Jan 14, 2008 7:46 pm; Thanked: 3 times

by gmataspirant » Sun Jun 29, 2008 5:11 pm

My approach..

Let's find the distance travelled by Adam. Travel time is 30 minutes @ a speed of 40, so d=ts i.e d=30/60 * 40 = 20.

Beth has travelled 5 miles longer so Beth's distance is Adam's Distance + 5 => 20 + 5 ==>25

Beth's speed is s=d/t ==> 25 /50/60 ==> 25 * 60 /50 ==> 30 MPH.

Answer is B, What is OA ?

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