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Q.

A is twice as fast as B and B is thrice as fast as C is. The journey covered by C in 54 minutes will be covered by B in:

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a

16 minutes

b

24 minutes

c

18 minutes

d

10 minutes 

answer is C.

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Detailed Solution

The relation between speeds of A, B and C is given Let speed of C is x
ஃSpeed of B is 3 x
And speed of A is 2 (3x) = 6x
Let distance travelled by C is ‘d’
Given C took 54 minutes
Therefore, By speed = distance /time
𝑑
x=
54
d= 54x
Let time taken by B is ‘t’
𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒
Speed =
𝑑
3x =
𝑇
3x = 54𝑥
𝑇
T = 54𝑥
3𝑥

Question Image𝑡𝑖𝑚𝑒
T = 18 minutes
Therefore, Time taken by B to cover the same distance is 18 minutes.
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