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Question

A man wants to reach a certain destination. One sixth of the total distance is muddy while half the distance is tar road. For the remaining distance he takes a boat. His speed of traveling in mud, in water and on tar road is in the ratio 3 : 4 : 5. The ratio of the durations he requires to cross the patch of mud,stream and tar road is
  1. 12:45:52
  2. 3 : 8 : 15
  3. 10 : 15 : 18
  4. 1 : 2 : 3

A
3 : 8 : 15
B
10 : 15 : 18
C
12:45:52
D
1 : 2 : 3
Solution
Verified by Toppr

Let the distance is x
Distance travel in mud=x6
Distance travel in tar=x2
Distance travel in stream=x3
Ratio of speed in mud,tar,stream=3:5:4
time=distancespeedSo
Time taken to cross the mud=x6×13=x18
Time taken to cross the tar=x2×15=x10
Time taken to cross the stream=x12×14=x12
Ratio of time taken to cross mud ,stream,tar=x18:x12:x10
10:15:18

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