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11 Aug 2011, 11:06
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
78% (01:44) correct
22%
(02:04)
wrong
based on 972
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Lionel left his house and walked towards Walt's house, which is 48 miles away. Two hours later, Walt left his house and ran in Lionel's direction. If Lionel walked at a speed of 4 miles per hour and Walt ran at 6 miles per hour, how many miles had Lionel covered when they met?
A. 12
B. 16
C. 20
D. 24
E. 28
A. 12
B. 16
C. 20
D. 24
E. 28
Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 4 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt?
For Li : R= 4, Time = t => Distance = 4t
For Wal: R= 6, Time = t-2 => Distance = 6(t-2)
one can easily solve this question with this information.
My question is : how Time for Wal is " t-2" ?? According to question, lets say, Li left home at 4pm, two hours later Wal left his house, it means 6pm. wouldn't it be ( t+2) in algebraic way.
Thanks
For Li : R= 4, Time = t => Distance = 4t
For Wal: R= 6, Time = t-2 => Distance = 6(t-2)
one can easily solve this question with this information.
My question is : how Time for Wal is " t-2" ?? According to question, lets say, Li left home at 4pm, two hours later Wal left his house, it means 6pm. wouldn't it be ( t+2) in algebraic way.
Thanks
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15 Aug 2011, 22:15
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shrive555
I think piyatiwari and fluke have already explained you what the variable t stands for.
Now let's see how to solve this question without any variables.
For the first two hrs, only Lionel was walking at a speed of 4 miles/hr. So he covered 8 miles in that time. Now the distance between him and Walt is 40 miles. Now, Lionel is walking toward Walt at 4 miles/hr and Walt is running toward Lionel at 6 miles/hr. So they are covering 10 miles every hour. They will together cover 40 miles in 4 hrs. In these 4 hrs, Lionel walked 4*4 = 16 miles. He also walked 8 miles in the first two hrs. Hence he covered a total of 16+8 = 24 miles
17 Mar 2012, 03:41
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Lionel left his house and walked towards Walt's house, which is 48 miles away. Two hours later, Walt left his house and ran in Lionel's direction. If Lionel walked at a speed of 4 miles per hour and Walt ran at 6 miles per hour, how many miles had Lionel covered when they met?
A. 12
B. 16
C. 20
D. 24
E. 28
In the first 2 hours, Lionel, at a rate of 4 miles per hour, covered \(distance = rate*time = 4*2 = 8\) miles. So, the distance between him and Walt was \(48 - 8 = 40\) miles when Walt left his house. Now, their combined rate to cover this distance was \(4 + 6 = 10\) miles per hour; hence, they would meet (they would cover that distance) in \(time = \frac{distance}{rate} = \frac{40}{10} = 4\) hours. The total time Lionel was walking was \(2 + 4 = 6\) hours, which means in that time interval, he covered \(distance = rate*time = 4*6 = 24\) miles.
Answer: D
Hope it's clear.
A. 12
B. 16
C. 20
D. 24
E. 28
In the first 2 hours, Lionel, at a rate of 4 miles per hour, covered \(distance = rate*time = 4*2 = 8\) miles. So, the distance between him and Walt was \(48 - 8 = 40\) miles when Walt left his house. Now, their combined rate to cover this distance was \(4 + 6 = 10\) miles per hour; hence, they would meet (they would cover that distance) in \(time = \frac{distance}{rate} = \frac{40}{10} = 4\) hours. The total time Lionel was walking was \(2 + 4 = 6\) hours, which means in that time interval, he covered \(distance = rate*time = 4*6 = 24\) miles.
Answer: D
Hope it's clear.
