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kajaldaryani46
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Truck A is on a straight highway heading due south at the same time T 29 Sep 2020, 04:35
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VeritasKarishma
viktorija
Truck A is on a straight highway heading due south at the same time Truck B is on a different straight highway heading due east. At 1:00 PM, Truck A is exactly 14 miles north of Truck B. If both trucks are traveling at a constant speed of 30 miles per hour, at which of the following times will they be exactly 10 miles apart?

A. 1:10 PM
B. 1:12 PM
C. 1:14 PM
D. 1:15 PM
E. 1:20 PM

Quickly draw to understand what the question is telling you. The first diagram shown you the situation at 1:00 pm. The second diagram shows the pic of some time later:
Attachment:
Ques3.jpg

The hypotenuse of 10 should remind you of the 3-4-5 pythagorean triplet. Here we might have its multiple 6-8-10.
So we are looking at the vertical distance of 8 (which means truck A has traveled a distance of 6 miles from the 14 miles) and horizontal distance of 6 traveled by truck B - both trucks traveled 6 miles in this case which is expected since their speed is the same.
They travel 30 miles in one hour (60 mins) so they will travel 6 miles in 60*6/30 = 12 mins.

Answer (B)
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——-
While I understand the solution, I couldn't understand why B is in a position such that a right angled triangle can be created? b could be anywhere right?

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Truck A is on a straight highway heading due south at the same time T 29 Sep 2020, 23:15
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kajaldaryani46
VeritasKarishma
viktorija
Truck A is on a straight highway heading due south at the same time Truck B is on a different straight highway heading due east. At 1:00 PM, Truck A is exactly 14 miles north of Truck B. If both trucks are traveling at a constant speed of 30 miles per hour, at which of the following times will they be exactly 10 miles apart?

A. 1:10 PM
B. 1:12 PM
C. 1:14 PM
D. 1:15 PM
E. 1:20 PM

Quickly draw to understand what the question is telling you. The first diagram shown you the situation at 1:00 pm. The second diagram shows the pic of some time later:
Attachment:
Ques3.jpg

The hypotenuse of 10 should remind you of the 3-4-5 pythagorean triplet. Here we might have its multiple 6-8-10.
So we are looking at the vertical distance of 8 (which means truck A has traveled a distance of 6 miles from the 14 miles) and horizontal distance of 6 traveled by truck B - both trucks traveled 6 miles in this case which is expected since their speed is the same.
They travel 30 miles in one hour (60 mins) so they will travel 6 miles in 60*6/30 = 12 mins.

Answer (B)
——-
While I understand the solution, I couldn't understand why B is in a position such that a right angled triangle can be created? b could be anywhere right?

Posted from my mobile device
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Hi kajaldaryani46,

GMAT questions are always very-specifically worded - and that wording helps to 'narrow down' the Quant/Verbal ideas you should be focused on (and how you might go about answering the specific question that is asked).

In the 2nd sentence, we're told that at 1:00pm, Truck A is exactly 14 miles NORTH of Truck B (not north-east, not 91 degrees north-west, EXACTLY DUE NORTH). Try drawing 2 dots on a piece of paper to represent the two Trucks. The dot for Truck A should be directly 'up' from the dot for Truck B.

In the 1st sentence, we're told that Truck A.... is heading DUE SOUTH (relative to the dot you just drew, that would be STRAIGHT DOWN the page)... while Truck B... is heading DUE EAST (relative to that dot, DIRECTLY TO THE RIGHT). Draw two lines representing the directions that the dots are moving.

You should be seeing (most - or all of) the two 'legs' of a right triangle (since the trucks are traveling in straight lines, perpendicular to one another, those lines will form a 90-degree angle when they intersect).

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Vibhatu
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Truck A is on a straight highway heading due south at the same time T 11 Aug 2023, 23:17
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KarishmaB
viktorija
Truck A is on a straight highway heading due south at the same time Truck B is on a different straight highway heading due east. At 1:00 PM, Truck A is exactly 14 miles north of Truck B. If both trucks are traveling at a constant speed of 30 miles per hour, at which of the following times will they be exactly 10 miles apart?

A. 1:10 PM
B. 1:12 PM
C. 1:14 PM
D. 1:15 PM
E. 1:20 PM

Quickly draw to understand what the question is telling you. The first diagram shown you the situation at 1:00 pm. The second diagram shows the pic of some time later:
Attachment:
The attachment Ques3.jpg is no longer available

The hypotenuse of 10 should remind you of the 3-4-5 pythagorean triplet. Here we might have its multiple 6-8-10.
So we are looking at the vertical distance of 8 (which means truck A has traveled a distance of 6 miles from the 14 miles) and horizontal distance of 6 traveled by truck B - both trucks traveled 6 miles in this case which is expected since their speed is the same.
They travel 30 miles in one hour (60 mins) so they will travel 6 miles in 60*6/30 = 12 mins.

Answer (B)
Show more

What if this is 90-45-45 trainable and traveling like this ?? Give me your opinion

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Truck A is on a straight highway heading due south at the same time T 17 Sep 2024, 01:10
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KarishmaB
viktorija
Truck A is on a straight highway heading due south at the same time Truck B is on a different straight highway heading due east. At 1:00 PM, Truck A is exactly 14 miles north of Truck B. If both trucks are traveling at a constant speed of 30 miles per hour, at which of the following times will they be exactly 10 miles apart?

A. 1:10 PM
B. 1:12 PM
C. 1:14 PM
D. 1:15 PM
E. 1:20 PM

Quickly draw to understand what the question is telling you. The first diagram shown you the situation at 1:00 pm. The second diagram shows the pic of some time later:
Attachment:
Ques3.jpg

The hypotenuse of 10 should remind you of the 3-4-5 pythagorean triplet. Here we might have its multiple 6-8-10.
So we are looking at the vertical distance of 8 (which means truck A has traveled a distance of 6 miles from the 14 miles) and horizontal distance of 6 traveled by truck B - both trucks traveled 6 miles in this case which is expected since their speed is the same.
They travel 30 miles in one hour (60 mins) so they will travel 6 miles in 60*6/30 = 12 mins.

Answer (B)
Show more
Great tip regarding right angle triplet. I saw similar question for minimum distance where we have to form quadratic equation and find -b/2a. My dumb self did the same thing here too and wasted time.
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