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One hour after Yolanda started walking from X to Y, a distan
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24 Jun 2020, 09:28
24 Jun 2020, 09:28
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Question Stats:
90% (01:30) correct
9% (02:10) wrong based on 41 sessions
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One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bobт's was 4 miles per hour, how many miles had Bob walked when they met?
(A) 24
(B) 23
(C) 22
(D) 21
(E) 19.5
(A) 24
(B) 23
(C) 22
(D) 21
(E) 19.5
Re: One hour after Yolanda started walking from X to Y, a distan
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24 Jun 2020, 09:29
24 Jun 2020, 09:29
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Re: One hour after Yolanda started walking from X to Y, a distan
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24 Jun 2020, 09:32
24 Jun 2020, 09:32
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Carcass wrote:
One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bobт's was 4 miles per hour, how many miles had Bob walked when they met?
(A) 24
(B) 23
(C) 22
(D) 21
(E) 19.5
(A) 24
(B) 23
(C) 22
(D) 21
(E) 19.5
Original length of GAP between Bob and Yolanda = 45 miles
Yolanda walks for 1 hour at a speed of 3 miles per hour.
So, Yolanda walked 3 miles during that 1 hour.
Current length of GAP between Bob and Yolanda = 42 miles
At this point, Bob starts walking.
In 1 hour, Bob walks 4 miles towards Yolanda, and Yolanda walks 3 miles towards Bob.
So, EVERY HOUR, the gap decreases a total of 7 miles.
In other words, the GAP between Bob and Yolanda SHRINKS at a rate of 7 miles per hour.
Time = distance/rate
So, time = 42/7 = 6 hours
So, it will take 6 hours for the gap to shrink from 42 miles to 0 miles.
Bob walks at a rate of 4 miles per hour.
So, Bob's travel distance = (rate)(time)
= (4)(6)
= 24 miles
Answer: A
