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Updated on: 01 Oct 2023, 02:51
Originally posted by Sajjad1994 on 16 Feb 2021, 23:30.
Last edited by BottomJee on 01 Oct 2023, 02:51, edited 2 times in total.
Last edited by BottomJee on 01 Oct 2023, 02:51, edited 2 times in total.
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Speed of
Car A: 42 miles per hour Speed of
Car B: 30 miles per hour
Car A: 42 miles per hour Speed of
Car B: 30 miles per hour
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:56) correct
27%
(02:30)
wrong
based on 535
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Two cars are traveling in the same direction at constant speeds on a straight road. Initially, car A is 5 miles behind car B. After 30 minutes, car A is 1 mile in front of car B.
In the table below, select the values for the speeds of car A and car B that are consistent with the information above.
In the table below, select the values for the speeds of car A and car B that are consistent with the information above.
|
Speed of Car A |
Speed of Car B |
|
| 24 miles per hour | ||
| 30 miles per hour | ||
| 42 miles per hour | ||
| 50 miles per hour | ||
| 56 miles per hour |
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Official Answer
Speed of
Car A: 42 miles per hour Speed of
Car B: 30 miles per hour
Car A: 42 miles per hour Speed of
Car B: 30 miles per hour
rocky620
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23 Feb 2021, 06:04
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Let the speed of Car B be x
Since the cars are travelling on the same direction, the relative speed will be the difference in the Speed of both cars.
Also, in 30 minutes the extra distance traveled by Car A is = 5+1 (5 miles initial lag and 1 mile leap) = 6 miles. So, in 1 hour it will travel 12 miles more than Car B.
So the speed of Car A = x+12
The relative speed = 12 miles. Only 42 & 30 match this case.
Speed of Car A = 42 miles per hour
Speed of Car B = 30 miles per hour
Since the cars are travelling on the same direction, the relative speed will be the difference in the Speed of both cars.
Also, in 30 minutes the extra distance traveled by Car A is = 5+1 (5 miles initial lag and 1 mile leap) = 6 miles. So, in 1 hour it will travel 12 miles more than Car B.
So the speed of Car A = x+12
The relative speed = 12 miles. Only 42 & 30 match this case.
Speed of Car A = 42 miles per hour
Speed of Car B = 30 miles per hour
General Discussion
17 Feb 2021, 02:49
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suppose B travels x miles in 30 mins. So A traveled (5+x+1)miles in 30 mins
Time=Distance/speed
[1][/2] = x/B so x= B/2...(1)
Similarly, 1/2=[x+6][/A] ...(2)
Solving 1&2, we get A=B+12...(3)
So only answer satisfying (3) is -> B=30 and A=42
Time=Distance/speed
[1][/2] = x/B so x= B/2...(1)
Similarly, 1/2=[x+6][/A] ...(2)
Solving 1&2, we get A=B+12...(3)
So only answer satisfying (3) is -> B=30 and A=42
