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happypuppy
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In a marathon, Charles had to run from point A to point B and then ret 31 Aug 2022, 07:04
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73% (02:45) correct 27% (03:03) wrong based on 66 sessions

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In a marathon, Charles had to run from point A to point B and then return to the starting point. After running 4.40 miles towards B from the starting point A, Charles observes that he has to run for exactly 114 minutes more to finish the marathon. If Charles runs at a constant rate of 15 minutes per mile, how far away is he from reaching point B?

(A) 1.6

(B) 2.5

(C) 2.75

(D) 3.8

(E) 4.0
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stne
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In a marathon, Charles had to run from point A to point B and then ret 08 Sep 2022, 08:14
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Roy867
In a marathon, Charles had to run from point A to point B and then return to the starting point. After running 4.40 miles towards B from the starting point A, Charles observes that he has to run for exactly 114 minutes more to finish the marathon. If Charles runs at a constant rate of 15 minutes per mile, how far away is he from reaching point B?

(A) 1.6

(B) 2.5

(C) 2.75

(D) 3.8

(E) 4.0
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Roy867,

If I am not missing anything !

Kindly check the options , if the question is correct !

If he runs 1 mile in 15 min then to run 1.6 mile he would take 15 *1.6 = 24 minutes !!

So he cannot be 114 minutes away from target!

In 114 minutes he would complete 114/15 = 7.6 miles !
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In a marathon, Charles had to run from point A to point B and then ret 08 Sep 2022, 19:41
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Let "d" be the distance from point A to point B, then from the problem description the following equation can be set up:
(d - 4.4)*15 + 15*d = 114
2d - 4.4 = 114/15
d = (114/15 + 4.4)/2
d = 57/15 + 2.2
= 19/5 + 2.2
= 3.8 + 2.2 = 6
So he is (6 - 4.4) = 1.6 miles from point B.
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In a marathon, Charles had to run from point A to point B and then ret 08 Sep 2022, 21:10
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Roy867
In a marathon, Charles had to run from point A to point B and then return to the starting point. After running 4.40 miles towards B from the starting point A, Charles observes that he has to run for exactly 114 minutes more to finish the marathon. If Charles runs at a constant rate of 15 minutes per mile, how far away is he from reaching point B?

(A) 1.6

(B) 2.5

(C) 2.75

(D) 3.8

(E) 4.0
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Miles he will cover in 114 mins = 114/15 = 7.6 miles
Total distance from a A to B and back to A = 4.4 + 7.6 = 12 miles
So distance between A and B = 6 miles
Since he has already covered 4.4 miles, he is 1.6 miles away from B.

Answer (A)
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In a marathon, Charles had to run from point A to point B and then ret 09 Sep 2022, 01:37
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KarishmaB
Roy867
In a marathon, Charles had to run from point A to point B and then return to the starting point. After running 4.40 miles towards B from the starting point A, Charles observes that he has to run for exactly 114 minutes more to finish the marathon. If Charles runs at a constant rate of 15 minutes per mile, how far away is he from reaching point B?

(A) 1.6

(B) 2.5

(C) 2.75

(D) 3.8

(E) 4.0

Miles he will cover in 114 mins = 114/15 = 7.6 miles
Total distance from a A to B and back to A = 4.4 + 7.6 = 12 miles
So distance between A and B = 6 miles
Since he has already covered 4.4 miles, he is 1.6 miles away from B.

Answer (A)
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My Goof up! Completely missed the " return part ..." Thank you.
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In a marathon, Charles had to run from point A to point B and then ret 09 Sep 2022, 09:07
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karishma why did you do 114/15? time/speed doesn't give distance?
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In a marathon, Charles had to run from point A to point B and then ret 09 Sep 2022, 10:28
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karishma why did you do 114/15? time/speed doesn't give distance?
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Distance = speed * time

Speed = 1/15 ( miles per minute )
Time = 114

Hence \( 7.6 = 114 * \frac{1}{15}\)

Hope it's clear.
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In a marathon, Charles had to run from point A to point B and then ret 03 Dec 2022, 06:27
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In a marathon, Charles had to run from point A to point B and then return to the starting point. After running 4.40 miles towards B from the starting point A, Charles observes that he has to run for exactly 114 minutes more to finish the marathon. If Charles runs at a constant rate of 15 minutes per mile, how far away is he from reaching point B?

Answer:
---------------------------------------------
- 1 mile every 15 minutes ---> 4 miles an hour
- Having already covered a distance of 4.40miles at the same speed of 4mph - he must have ran for 1 hour 6 minutes (4.40 = 4mph*(1.1); 1.1 in hours is equivalent to 1 hour and 10% of 1 hour, which is 6 minutes - totaling to 66 minutes)
- He has to run 114 minutes more, so total time required = 66+114 = 180 = 3hours
- Distance covered in 3 hours at 4mph is 12 hours
- therefore distance between A and B is 6 hours (6 miles up, 6 miles down)
- He already covered 4.4miles, so what remains is another 1.6 miles until B...............................................(Answer)
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