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A man walks 6 km at a speed of 1 1/2 kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find t…

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A man walks 6 km at a speed of 1 1/2 kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man.
  • A4 (5/6) kmph
  • B3 (5/6) kmph
  • C5 (7/6) kmph
  • DNone of these
Correct answer: B
0
CCommunity
3 (5/6) kmph

NA
0
CCommunity
Solution:

A man walks 6km at a speed of 1.5 kmph ,

runs 8km at a speed of 2 kmph,

goes by bus for 32km at a speed of 8kmph.

Time taken for the individual cases,

1). T1 = 6/1.5 = 4h

2). T2 = 8/2 = 4h

3). T3 = 32/8 = 4h

Total time taken = 4 + 4 + 4 = 12 h

Total distance = 6 + 8 + 32 = 46 km

So, Average Speed = Total distance/Total time taken

= 46 / 12

= 23 / 6

= 3 (5/6) kmph

So, the correct option is B). 3 (5/6) kmph