The speed of A is twice that of B. The speed of B is 3 times that of C. Takes 48 minutes to complete the journey. Then how many minutes does it take to complete the journey?
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you have not written the question rightly
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Let :
- Speed of c = v km/ min
- Distance of journey = x
Given :
- Speed of A = Twice speed of B
- Speed of B = Thrice speed of C
- Time taken by C = 48minutes
To find : time taken by A
Formula used : Distance = Speed × Time
Solution :
For C,
speed = v km/min
time = 48 minutes
distance = x
=> x = v × 48 km .... equation 1
Given that speed of B = 3× speed of C
=> Speed of B = 3 × v km/min
=> Speed of B = 3v km/min ....... equation 2
Also
Speed of A = Twice speed of B
Speed of A = 2 × (3v km/min)
Speed of A = 6v km/min
For A ,
speed = 6v
distance = x
time = t ( let )
x = (6v km/min) × t
Putting value of x from equation 1, we get;
48v km = (6v km/min) × t
ANSWER : Time taken by A = 8 minutes
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