1.

If the speed of the boat in still water is 9 km/h and the downstream speed is 6 km/h more than the upstream speed. Then find the distance covered by boat in 5 hours 20 min. downstream.1. 56 km2. 64 km3. 48 km4. 64.5 km5. 48.7 km

Answer» Correct Answer - Option 2 : 64 km

Given:

Speed of boat in still water = 9 km/h

Downstream speed = 6 km/h + Upstream speed

Formula used:

Distance = Speed × Time

Calculation:

Let the speed of the stream be x km/h.

Downstream speed = (9 + x) km/h

Upstream speed = (9 – x) km/h

According to the question,

Downstream speed = 6 km/h + Upstream speed

⇒ (9 + x) = 6 + (9 – x)

⇒ 2x = 6

⇒ x = 3 km/h

Downstream speed = (9 + x) km/h

⇒ Downstream speed = 9 + 3

⇒ Downstream speed = 12 km/h

Time = 5 hours 20 min.

⇒ Time = (5 + 1/3) hours

⇒ Time = 16/3 hours

Required distance = Downstream speed × Time

⇒ Required distance = 12 × 16/3

⇒ Required distance = 64 km

The distance covered by boat in 5 hours 20 min. downstream is 64 km.



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