Question

What is the speed of the current?

I: The boat covers a distance of 96 km in 24 hrs while running upstream.

II: The boat covers the same distance in 8 hrs while running downstream.
1. Only I is sufficient
2. Only II is sufficient
3. Either I or II is sufficient
4. Both I and II together are sufficient
5. Neither I nor II is sufficient

Answer 1

Correct Answer - Option 4 : Both I and II together are sufficient

From I:

Distance = 96 km

Time = 24 hrs

⇒ Upstream speed = 96/24 = 4 km/hr

From II:

Distance = 96 km

Time = 8 km

⇒ Downstream speed = 96/8 = 12 km/hr

By combining I and II,

Speed of current = (12 – 4)/2 = 4 km/hr

∴ Both I and II together are sufficient.