Boat and Stream Level 2 Practice Quiz: Upstream and Downstream Speeds
This set is for learners who know what upstream and downstream mean and are ready for medium-level practice. It is the Level 2 boat and stream quiz on Aptitude360, covering stream speed, the speed of a boat in still water, round-trip times, time ratios and average speed. Every question comes with a worked solution.
What this Boat and Stream Level 2 quiz covers
- Speed of the stream from distances covered upstream and downstream
- Speed of a boat in still water from its upstream and downstream speeds
- Total time for a downstream trip and the return trip
- Distance to a place from the total round-trip time
- Ratio of upstream to downstream time for the same distance
- Average speed over a complete round trip
- Pairs of trips that lead to two linear equations
Boat and stream formulas you need
- Downstream speed: \( D=u+v \)
- Upstream speed: \( U=u-v \)
- Boat speed in still water: \( u=\dfrac{D+U}{2} \)
- Stream speed: \( v=\dfrac{D-U}{2} \)
- Average speed of a round trip: \( \dfrac{u^{2}-v^{2}}{u} \)
- Upstream to downstream time ratio: \( \dfrac{u+v}{u-v} \)
How to revise boats and streams well
- Write the downstream and upstream speeds first, and most questions reduce to simple speed, distance and time.
- For the same distance, time is inversely proportional to speed, so a time ratio gives the inverse speed ratio.
- When two trips are described, take the reciprocals of the upstream and downstream speeds as variables to get linear equations.
- Bring all times to the same unit as the speeds before substituting.
Who this set is for
It suits SSC, bank and other competitive exam aspirants who have finished the basics and want steady medium-level practice before harder boat and stream problems.