BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Triangle

Expert replies
by dvalenz » Sun Mar 24, 2013 8:22 am
Hi, I think this is the a triangle question.

Here is the question:

P,Q, and R are located in a flat region of a certain state. Q is x miles due east of P and y miles die north of R. Each pair of points is connected by a straight road. what is the number of hours needed to drive form Q to R and then form R to P at a constant rate of z miles per hour, in terms of x,y, and z? (assume x,y, and z are positive)

Thank you
Join the discussion
Source: — Problem Solving |

by rintoo22 » Sun Mar 24, 2013 8:28 am
Answer should be
(y + sqrt(x^2 + y^2))/z

Solution steps

Time from Q to R = y/z ...1
Time from R to P = sqrt(x^2 + y^2)/z ...2

Add 1 and 2.

Thanks
Ritesh
Join the discussion

by Anju@Gurome » Sun Mar 24, 2013 8:51 am
Refer to the diagram below,
Image
Total distance covered = QR + RP = y + √(x² + y²)

Hence, total time required = (Total distance covered)/speed = [y + √(x² + y²)]/z
Anju Agarwal
Quant Expert, Gurome

Backup Methods : General guide on plugging, estimation etc.
Wavy Curve Method : Solving complex inequalities in a matter of seconds.

§ GMAT with Gurome § Admissions with Gurome § Career Advising with Gurome §
Join the discussion