On level farmland, two runners leave at the same time from

Question

9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 4 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after 1/2 hour ?
 (A) 6
 (B) 7
 (C) 8
 (D) 12
 (E) 14

bsd_lover · Answer

If runner 1 is going north and runner 2 is going east they are like two sides of a 90 degree triangle.

Side 1 = 8 m/h --> 4 m in 1/2 hr
Side 2 = 12 m/h --> 6 m in 1/2 hr

to complete this right angle triangle
d^2 = 4^2 + 6^2
d^2 = 52
 = 2 sqrt(13) ~ 7 

Answer option B

priyankurml · Answer

Let ABC is a right angle triangle, and angle ABC is 90 degree, So, first one is going through AB and achieved 4miles whereas the person on BC achieves 6 miles in half an hour, 

Now sqrt(4^2 + 6^2) = nearest distance ~ 7 B.

lanka1 · Answer

On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 4 miles per hour faster than the first runner's rate. How far apart, to the nearest mile, will they be after hour ?

(A) 6
(B) 7
(C) 8
(D) 12
(E) 14

(A) 6
(B) 7
(C) 8
(D) 12
(E) 14

kp1811 · Answer

is the question correct as none of the options seem fit??

Fiver · Answer

We need to find root (8^2 + 12^2) = root(208)
Since 208 is closer to 196, which is 14^2, my answer is 14 miles corrected to the nearest mile.

Option  E .

araon · Answer

1st Runner; 8mph North
2nd Runner; 1st Runner+4mph = 12mph East.

After an hr, 1st runner and 2nd runner will reach 8m and 12m respectively from the intersection they started. Because they ran North and East, their path forms a right angle and hence distance between them would be hypotenuse, which is sqrt(8*8+12*12) = sqrt(208), which is close to 14 (sqrt of 196).

Answer is E.

Mehraban · Answer

The answer is B since they are asking about the distance after half an hr. 14/2 = 7

Daddydekker · Answer

Correct the question pleas

Narenn · Answer

There was an error in the question posted originally. It is actually asking for the distance between two runners after 1/2 hour travel at their respective directions. I have corrected the error. Choice B is the Answer.

PareshGmat · Answer

Distance covered

=  \sqrt{4^2 + 6^2}

=  \sqrt{52}

= 7 (Approx) = Answer = B

Abhishek009 · Answer

In 1/2 HOur first runner covers 4 miles and second runner covers 6 miles

Thus, Distance between them is  \sqrt{16 + 36} = \sqrt{52}  ~ 7 , Answer must be (B)

BhavanaKotte · Answer

Won't nearest mile means half of hypotenuse?

Confused with the phrasing of "Nearest mile".

Posted from my mobile device

jdcsantos · Answer

"The nearest" mile did seem confusing!!

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