Boat and Stream Tests — Pick a Level and Start
Tap a level to see every test in it. Level 1 is set at real SSC CGL difficulty — start there the day you finish the concept. Level 2 is pitched above the exam, to push accuracy under pressure.
Level 1 SSC CGL Level Checking… View tests
Same difficulty as the real SSC CGL paper — one rule per question. Downstream and upstream speeds from the boat and the current, and the boat and the current back from the two speeds; speeds in m/min or km/h with the conversion done once; a distance covered downstream or upstream in a given time; the time for a round trip, or the total time turned into the one-way distance; the ratio of downstream to upstream times turned into the ratio of boat speed to stream speed; a boat that takes a stated number of times as long against the current as with it; a floating object drifting at the speed of the stream; and a boat meeting a raft or a second boat on the river. A steady score here means the chapter is exam-ready.
Level 2 Above SSC CGL Level Checking… View tests
Harder than the exam asks, because every question chains two steps or runs one backwards. Two round trips at two boat speeds that fix both the stream and the distance; a round-trip time that leads to a quadratic in the stream speed; downstream and upstream distances mixed in one journey; a boat that speeds up or slows down midway; a boat that turns back to collect a hat, a raft or a log that fell overboard; two boats leaving opposite banks and meeting twice; the stream speed recovered from the difference of two times; a distance found from two what-ifs about speed; and a change in the current that changes the round-trip time by a stated amount. Clear these and the real paper feels easy.
The whole chapter is two additions. Going with the current, the boat’s speed over the ground is boat speed + stream speed; going against it, boat speed − stream speed. Run those backwards and you get the other pair: boat speed = half the sum of the two ground speeds, stream speed = half their difference. Every question in the chapter is one of these four lines, plus distance = speed × time.
The marks are lost in three places. The first is mixing up which speed is which — a boat at 8 km/h in a 2 km/h stream goes 10 km/h downstream and 6 km/h upstream, and the question will offer 10 and 6 the wrong way round. The second is averaging the two ground speeds for a round trip: the average speed of the trip is not the boat speed, because the upstream leg takes longer. The third is reading a time ratio as a speed ratio — if the upstream leg takes twice as long as the downstream leg, the ground speeds are in the ratio 1 : 2, and the boat is three times the stream, not two. Each test puts twenty-five boat and stream questions in front of you in one sitting, which is what makes those checks automatic.
How Many Boat and Stream Questions Are Asked in SSC CGL?
Boat and stream is a small, regular chapter. It appears as one question in most shifts, and it is one of the fastest marks on the paper once the four speed lines are automatic.
| Chapter | Tier I (out of 25) | Tier II Paper I (out of 30) |
|---|---|---|
| Boat & Stream | 0–1 | 0–1 |
| Time, Speed, Distance & Trains | 1–2 | 2–3 |
| Races | 0–1 | 0–1 |
Counts vary by shift. Boat and stream is time, speed and distance with the speeds added or subtracted first, so the two chapters are best prepared together.
What You Will Practice in the Boat and Stream Chapter
Core topics
- Downstream and upstream speeds from the boat’s still-water speed and the speed of the current
- The boat’s speed and the stream’s speed recovered from the two ground speeds
- Speeds given in metres per minute or km/h, with the conversion done before anything else
- A distance covered downstream or upstream in a given time, and the time for a given distance
- The time for a round trip, and the one-way distance from a total round-trip time
- Downstream time and upstream time over the same distance, and the ratio between them
- The ratio of boat speed to stream speed from the ratio of the two times
- A boat that takes a stated multiple of the downstream time to come back upstream
- A floating object, a raft or a log that moves at the speed of the stream alone
- A boat and a raft, or two boats, starting from different points and meeting on the river
- A boat that turns back midstream to collect something that fell overboard
- Two round trips at two different boat speeds, solved together for the stream and the distance
- A round trip whose total time gives a quadratic in the unknown speed
- Journeys that mix a downstream stretch and an upstream stretch of different lengths
- A change in the current, or in the boat’s speed, and the minutes it adds to or saves from a trip
Rules worth memorising
| Situation | Rule |
|---|---|
| Boat speed b, stream speed s | downstream = b + s; upstream = b − s |
| Downstream speed D, upstream speed U | boat = (D + U) ÷ 2; stream = (D − U) ÷ 2 |
| Changing units | km/h × 5/18 = m/s; m/min × 3/50 = km/h |
| Same distance each way | times are in the ratio U : D (inverse of the speeds) |
| Upstream takes k times the downstream time | b : s = (k + 1) : (k − 1) |
| Round trip over distance d | total time = d ÷ (b + s) + d ÷ (b − s) = 2bd ÷ (b² − s²) |
| Distance from a round-trip time T | d = T (b² − s²) ÷ 2b |
| Floating object, raft, log | moves at the stream speed s; distance = s × time |
| Boat and raft moving apart or together | the current cancels — separation changes at the boat’s still-water speed b |
| Two boats on the river | relative speed = b₁ + b₂ towards each other, b₁ − b₂ the same way — the stream drops out |
The first two rows carry the chapter. Everything else is those two applied with the right distance, or the raft rule — anything that only floats moves at the speed of the stream.
The three mistakes that cost the most marks
- Swapping the two speeds. Downstream is with the current and is the larger speed. If the upstream figure comes out larger than the downstream one, a sign has been flipped somewhere.
- Averaging speeds for a round trip. The two legs are equal distances at different speeds, so the trip average is
2DU ÷ (D + U), and it is always less than the boat’s still-water speed. Use total distance over total time. - Reading time ratios as speed ratios. Over the same distance, times are inverse to speeds. Upstream taking twice as long means the ground speeds are 1 : 2, which makes the boat 3 : 1 to the stream.
Solved Examples — SSC CGL Boat and Stream
= 24 ÷ 2 = 12 km/h; upstream speed = 24 ÷ 4 = 6 km/h. Boat = (12 + 6) ÷ 2 = 9 km/h; stream = (12 − 6) ÷ 2 = 3 km/h. Check: 9 + 3 = 12 and 9 − 3 = 6. Answer: 9 km/h and 3 km/hupstream : downstream = 1 : 2. Let them be x and 2x. Boat = (2x + x) ÷ 2 = 1.5x, stream = (2x − x) ÷ 2 = 0.5x. Ratio 1.5 : 0.5 = 3 : 1. Reading “twice” as 2 : 1 for the boat and stream is the trap. Answer: 3 : 16 km/h, upstream 4 km/h. For distance d: d/6 + d/4 = 5, so 5d/12 = 5 and d = 12 km. Shortcut: d = T(b² − s²) ÷ 2b = 5 × 24 ÷ 10 = 12. Halving the time and using the boat speed (2.5 × 5 = 12.5) is the wrong option. Answer: 12 km6 ÷ 3 = 2 km/h. The boat goes downstream at 8 + 2 = 10 km/h and covers 30 km in 3 hours; the raft covers 6 km. Gap = 30 − 6 = 24 km — which is simply the boat’s still-water speed times the time, 8 × 3, because the current carries both alike. Answer: 24 kmHow the Boat and Stream Chapter Tests Work
- 25 questions per test, with a full question palette — answered, skipped, marked for review, not visited.
- Optional 15-minute timer — with the clock to build exam speed, without it while you are still learning the chapter.
- Marking: +2 correct, −0.5 wrong, 0 unattempted — the same scheme as the real paper.
- Solutions, shortcut tricks and concept notes open after you submit, question by question.
- English and हिंदी, chosen at the start of every test.
- Free with a TrickySSC account — sign in once with Google or your mobile number, and every test is open to you.
How to Prepare Boat and Stream for SSC CGL
- Write the four speeds before reading the question twice. b, s, b + s and b − s. Half the chapter is knowing which of the four the question is using.
- Downstream is the bigger number. If your upstream speed comes out larger, stop and check the sign.
- Convert units once, at the start. Metres per minute and km/h do not mix; settle on one before adding or subtracting anything.
- Over equal distances, invert the times to get the speeds. Then take half the sum and half the difference.
- For a round trip, add the two times, never average the two speeds. The
2bd ÷ (b² − s²)line saves a minute when the total time is given. - Anything that only floats moves with the stream. A raft, a hat, a log: its speed is s, and the boat separates from it at speed b whatever the current.
- Between two boats the current cancels. Add or subtract their still-water speeds as in an ordinary meeting question.
- Underline what is asked. Boat speed, stream speed, a distance, a total time and the time for one leg are all different answers.
- Do Level 1 untimed, the same day you finish the theory. It is set at real SSC CGL difficulty; the aim is picking the right rule, not speed.
- Repeat Level 1 with the 15-minute clock on, then move to Level 2. After that, verify against a previous year paper and a full mock test under locked sectional timing.
All SSC CGL Chapter Wise Tests
Every chapter below has its own free Level 1 and Level 2 tests with full solutions.
Browse all 45 chapter tests — Maths (35) · Reasoning (10)
- Number System
- Rule of Divisibility
- Remainder Theorem
- Decimal & Fraction
- LCM & HCF
- Square & Cube Root
- Number Series (AP & GP)
- Power, Indices & Surds
- Algebraic Formula
- Algebraic Result
- Algebraic Expression & Identities
- Percentage
- Profit & Loss
- Discount & Marked Price
- Simple Interest
- Compound Interest
- Ratio & Proportion
- Partnership
- Average
- Problems on Ages
- Mixture & Alligation
- Time & Work
- Pipe and Cistern
- Time, Speed and Distance
- Quadratic Equation
- Boat and Stream
- Races
- Trigonometry
- Heights & Distances
- Geometry
- Mensuration
- Coordinate Geometry
- Probability
- Statistics
- Data Interpretation
- All Maths chapters →
SSC CGL नाव और धारा (Boat and Stream) चैप्टर टेस्ट — हिंदी में
पूरा अध्याय दो जोड़ों पर टिका है। धारा के साथ नाव की चाल = नाव की चाल + धारा की चाल; धारा के विरुद्ध = नाव की चाल − धारा की चाल। इन्हें उलटने पर: नाव की चाल = दोनों चालों के योग का आधा, धारा की चाल = उनके अंतर का आधा। हर प्रश्न इन्हीं चार पंक्तियों और दूरी = चाल × समय से बनता है।
अंक तीन जगह कटते हैं। पहली: अनुप्रवाह (DOWNSTREAM) और प्रतिप्रवाह (UPSTREAM) की चालें आपस में बदल देना — धारा के साथ वाली चाल सदा बड़ी होती है। दूसरी: आने-जाने की यात्रा में दोनों चालों का सीधा बीच लेना — धारा के विरुद्ध वाला भाग अधिक समय लेता है, अतः कुल दूरी को कुल समय से भाग दें। तीसरी: समय के अनुपात को चाल का अनुपात मान लेना — प्रतिप्रवाह में दुगुना समय लगे तो चालें 1 : 2 हैं और नाव : धारा = 3 : 1, 2 : 1 नहीं।
TrickySSC पर इस अध्याय के सभी टेस्ट हिंदी में उपलब्ध हैं — प्रश्न, विकल्प, विस्तृत हल और शॉर्टकट ट्रिक सब हिंदी में। दो स्तर हैं: लेवल 1 (SSC CGL के स्तर का) और लेवल 2 (SSC CGL से कठिन)। प्रत्येक टेस्ट में 25 प्रश्न, वैकल्पिक 15 मिनट का टाइमर और +2 / −0.5 की वही मार्किंग जो असली परीक्षा में होती है।