The speed of a boat upstream is 50% less than the downstream speed of

1.	The speed of a boat upstream is 50% less than the downstream speed of the boat and if a rock is thrown in the stream it covers 100 m in 50 sec, then how much distance the boat can cover in still water in 5 hours?1. 105 km2. 125 km3. 108 km4. 135 km5. 100 km
Answer» Correct Answer - Option 3 : 108 km Calculations: Let the speed of boat in still water be s m/sec As the object covers 100m in 50sec, so the distance traveled by the object will be with the help of the speed of the stream only. ∴ Speed of stream = 100/50 ⇒ 2 m/s Given that, ⇒ (s – 2) = (s + 2) – 50 (s + 2)/100 ⇒ (s – 2) = (s + 2)(1 – 1/2) ⇒ s = 6 m/sec ⇒ s = (6 × 18)/5 ⇒ s = 108/5 km/h ∴ Distance covered by the boat in still water in 5 hours ⇒ 108 × 5/5 ⇒ 108 km The distance the boat can cover in still water in 5 hours is 108 km.

The speed of a boat upstream is 50% less than the downstream speed of the boat and if a rock is thrown in the stream it covers 100 m in 50 sec, then how much distance the boat can cover in still water in 5 hours?1. 105 km2. 125 km3. 108 km4. 135 km5. 100 km

Answer» Correct Answer - Option 3 : 108 km

Calculations:

Let the speed of boat in still water be s m/sec

As the object covers 100m in 50sec, so the distance traveled by the object will be with the help of the speed of the stream only.

∴ Speed of stream = 100/50

⇒ 2 m/s

Given that,

⇒ (s – 2) = (s + 2) – 50 (s + 2)/100

⇒ (s – 2) = (s + 2)(1 – 1/2)

⇒ s = 6 m/sec

⇒ s = (6 × 18)/5

⇒ s = 108/5 km/h

∴ Distance covered by the boat in still water in 5 hours

⇒ 108 × 5/5

⇒ 108 km

The distance the boat can cover in still water in 5 hours is 108 km.

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