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20 Apr 2020, 07:12
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Difficulty:
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Question Stats:
49% (02:25) correct
51%
(02:41)
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Two friends A and B leave City P and City Q simultaneously and travel towards Q and P at constant speeds. They meet at a point in between the two cities and then proceed to their respective destinations in 54 minutes and 24 minutes respectively. How long did B take to cover the entire journey between City Q and City P?
A. 60
B. 48
C. 32
D. 36
E. 24
Are You Up For the Challenge: 700 Level Questions
A. 60
B. 48
C. 32
D. 36
E. 24
Are You Up For the Challenge: 700 Level Questions
20 Apr 2020, 07:23
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Let us assume Car A travels at a speed of a and Car B travels at a speed of b.
Further, let us assume that they meet after t minutes.
Distance traveled by car A before meeting car B = a * t. Likewise distance traveled by car B before meeting car A = b * t.
Distance traveled by car A after meeting car B = a * 54. Distance traveled by car B after meeting car A = 24 * b.
Distance traveled by car A after crossing car B = distance traveled by car B before crossing car A (and vice versa).
=> at = 54b ---------- (1)
and bt = 24a -------- (2)
Multiplying equations 1 and 2
we have ab * t2 = 54 * 24 * ab
=> t2 = 54 * 24
=> t = 36
So, both cars would have traveled 36 minutes prior to crossing each other. Or, B would have taken 36 + 24 = 60 minutes to travel the whole distance.
Hence, the answer is 60 mins.
correct answer A
Further, let us assume that they meet after t minutes.
Distance traveled by car A before meeting car B = a * t. Likewise distance traveled by car B before meeting car A = b * t.
Distance traveled by car A after meeting car B = a * 54. Distance traveled by car B after meeting car A = 24 * b.
Distance traveled by car A after crossing car B = distance traveled by car B before crossing car A (and vice versa).
=> at = 54b ---------- (1)
and bt = 24a -------- (2)
Multiplying equations 1 and 2
we have ab * t2 = 54 * 24 * ab
=> t2 = 54 * 24
=> t = 36
So, both cars would have traveled 36 minutes prior to crossing each other. Or, B would have taken 36 + 24 = 60 minutes to travel the whole distance.
Hence, the answer is 60 mins.
correct answer A
04 May 2020, 07:00
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Let's assume that the speeds of A and B are SA and SB respectively and they meet after 't' minutes.
Then, SA/SB=24/t=t/54....> t^2=24*54=(36)^2....> t=36.
So total time for B to cover the entire trip from P to Q is 36+24=60. ANS:A
Then, SA/SB=24/t=t/54....> t^2=24*54=(36)^2....> t=36.
So total time for B to cover the entire trip from P to Q is 36+24=60. ANS:A
