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Time distance question... Please help

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by Mary.006 » Sun Aug 17, 2014 6:39 pm
A truck travels 20 miles due north', 30 miles due east , and then 20 miles due north. How many miles is the truck from the starting point.?

20.3
70
44.7
50
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by perwinsharma » Mon Aug 18, 2014 4:53 am
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Hi

This is a simple pythagorus problem.

Looking at the figures would help you explain how to approach them.

Figure 1 is the original path as traced by the question.

Figure 2 is the figure 1 reimagined to make it simpler to solve.
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by GMATinsight » Mon Aug 18, 2014 10:34 am
Mary.006 wrote:A truck travels 20 miles due north', 30 miles due east , and then 20 miles due north. How many miles is the truck from the starting point.?

20.3
70
44.7
50
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by GMATinsight » Mon Aug 18, 2014 10:37 am
I am afraid if you are referring to the right source of material for GMAT preparation as this question doesn't look like proper GMAT Question due to 4 Option choices given. Also it's been rare lately to expect questions of "Direction Sense" in GMAT

So word of caution are "Refer to the right source of material for GMAT preparation"
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by Brent@GMATPrepNow » Mon Aug 18, 2014 6:54 pm
Mary.006 wrote:A truck travels 20 miles due north', 30 miles due east , and then 20 miles due north. How many miles is the truck from the starting point.?

20.3
70
44.7
50
Altogether, the truck drove 40 miles north and 30 miles east.
So, 30 and 40 represent the two LEGS of a right triangle.
The truck's distance from the starting point (i.e., the hypotenuse) can be found using the Pythagorean Theorem.
30² + 40² = hypotenuse²
900 + 1600 = hypotenuse²
2500 = hypotenuse²
So, hypotenuse = 50
Answer: D


ALTERNATIVELY, we might recognize that this right triangle is an ENLARGED version of a 3-4-5 right triangle. This new right triangle is 10 TIMES as big as the 3-4-5 right triangle. So, the lengths are 30-40-50, meaning that the hypotenuse has length 50

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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