Ratio of speed of boat in still water and speed of stream is 7:2. Boat cover 120 km upstream in 8 hours and x km in 3 hours downstream. Find the value of x?

 

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  1. 81
  2. 84
  3. 96
  4. 88
  5. 64

Answer (Detailed Solution Below)

Option 1 : 81
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Calculation

Speed of boat:stream = 7:2 ⇒ Let boat = 7x, stream = 2x
Upstream = 7x − 2x = 5x
Downstream = 7x + 2x = 9x

Upstream: 120 km in 8 hours ⇒ 15 km/hr ⇒ 5x = 15 ⇒ x = 3
Downstream speed = 9x = 27 km/hr
In 3 hrs: Distance = 27 × 3 = 81 km

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