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# The Kiljaro Highway is marked with Milestones denoting the distance to

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Math Expert
Joined: 02 Sep 2009
Posts: 61403
The Kiljaro Highway is marked with Milestones denoting the distance to  [#permalink]

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05 Dec 2019, 02:12
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Difficulty:

65% (hard)

Question Stats:

58% (02:50) correct 42% (02:54) wrong based on 35 sessions

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The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 10 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy passed the milestone marking 70 km to Kiljaro. The variable A represents the tens digit of the minutes in 09:A0. Assuming Tommy maintained the same constant speed during the entire drive, how many kilometers did Tommy travel in one minute?

A. $$\frac{240}{30+10A}$$

B. $$\frac{240}{30+60A}$$

C. $$\frac{240}{40A}$$

D. $$\frac{220}{30+10A}$$

E. $$\frac{220}{40A}$$

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Re: The Kiljaro Highway is marked with Milestones denoting the distance to  [#permalink]

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05 Dec 2019, 19:45
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Distance = 240/ (30+10A)

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Re: The Kiljaro Highway is marked with Milestones denoting the distance to  [#permalink]

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05 Dec 2019, 09:14
Distance covered by Tommy from 8:30 to 9:A0 = (160-10)+(160-70)= 240 Kms

Total time taken= 30+10A minutes

Distance travelled by Tommy in 1 minute= $$\frac{240}{30+10A}$$

Bunuel wrote:
The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 10 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy passed the milestone marking 70 km to Kiljaro. The variable A represents the tens digit of the minutes in 09:A0. Assuming Tommy maintained the same constant speed during the entire drive, how many kilometers did Tommy travel in one minute?

A. $$\frac{240}{30+10A}$$

B. $$\frac{240}{30+60A}$$

C. $$\frac{240}{40A}$$

D. $$\frac{220}{30+10A}$$

E. $$\frac{220}{40A}$$

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Re: The Kiljaro Highway is marked with Milestones denoting the distance to  [#permalink]

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08 Dec 2019, 19:43
Bunuel wrote:
The Kiljaro Highway is marked with Milestones denoting the distance to the town of Kiljaro. Tommy left kiljaro and drove the highway, passing the 10 km milestone at 8:30. Some time afterwards, Tommy got a phone call asking him to return home, and he made a U-turn at the 160 km milestone. At 09:A0 Tommy passed the milestone marking 70 km to Kiljaro. The variable A represents the tens digit of the minutes in 09:A0. Assuming Tommy maintained the same constant speed during the entire drive, how many kilometers did Tommy travel in one minute?

A. $$\frac{240}{30+10A}$$

B. $$\frac{240}{30+60A}$$

C. $$\frac{240}{40A}$$

D. $$\frac{220}{30+10A}$$

E. $$\frac{220}{40A}$$

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We can let A = 3. So in 1 hour, or 60 minutes, Tommy has driven (160 - 10) + (160 - 70) = 150 + 90 = 240 km. Therefore, his speed is 240/60 = 4 km per minute. Now let’s see which answer choice yields 4 when we substitute 3 for A.

A. 240/(30 + 10(3)) = 240/60 = 4 → Yes!

Even though we have found our answer, let’s prove it can’t the other choices. We don’t have to check choices B and D since they can’t be 4 (notice that B has the same numerator as A but a different denominator, whereas D has the same denominator as A but a different numerator).

C. 240/(40(3)) = 240/120 = 2 → No

E. 220/(40(3)) = 220/120 = 11/6 → No

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Re: The Kiljaro Highway is marked with Milestones denoting the distance to   [#permalink] 08 Dec 2019, 19:43
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