Home› Calculators› Stoppage Time Calculator

Stoppage Time Calculator (Minutes per Hour)

Calculate stoppage time per hour for bikes, cars, buses, trains, or any vehicle using speed with and without stoppage.

📝 Question

Without stoppage, a train travels at an average speed of . With stoppages, it covers the same distance at an average speed of . How many minutes per hour does the train stop?

a) 15 min/hr b) 10 min/hr c) 12 min/hr ✓ d) 16 min/hr e) None of These
Stoppage Time = S₁ − S₂ S₁ × 60 min

Formula: Stoppage Time (min/hr) = ((S1 - S2) / S1) × 60

Example: 75 km/h → 60 km/h = 12 minutes per hour stoppage.

Tip: S₁ must be greater than S₂. If they are equal, there is no stoppage. 📝 Default example loaded

Below is a visual representation of the stoppage time formula used in speed distance problems.

Stoppage Time Calculator showing stop time per hour with and without stoppage using speed difference
Stoppage time formula with solved example — ((S₁ − S₂) / S₁) × 60

Use this free tool to find how many minutes per hour a train, bus, or any vehicle stops during its journey — a common Time Speed Distance (TSD) problem in competitive exams and school physics. Enter the speed without stoppage (S₁) and speed with stoppage (S₂) — the calculator shows 4 different solution methods with complete step-by-step working so you understand the logic, not just the answer.

This tool complements our main Time Speed Distance Calculator — use it to find speed from distance and time, then come here to calculate stoppage time. Also try our Simple Interest Calculator for finance problems. Works on mobile, tablet, and desktop — no sign-up required.

The formula applies to trains, buses, cars, and any vehicle where two average speeds are known. It is equally useful for aptitude test preparation and real-world travel estimation.

How Stoppage Time Works

When a train runs without stopping, its average speed is higher (S₁). When the same train covers the same distance with stoppages, its effective average speed drops to S₂ because part of each hour is spent standing still.

The difference S₁ − S₂ represents the speed "lost" due to halts. Dividing this by S₁ gives the fraction of each hour the train is stopped. Multiply by 60 to convert to minutes.

Formula Breakdown

Step 1: Note S₁ (speed without stoppage) and S₂ (speed with stoppage).

Step 2: Calculate the difference: S₁ − S₂.

Step 3: Divide by S₁ to get the fraction of the hour spent stopped.

Step 4: Multiply by 60 to convert the fraction into minutes per hour.

Result: Stoppage Time = S₁ − S₂S₁ × 60 minutes/hour.

Key Formulas — Quick Reference

ConceptFormulaResult Unit
Stoppage Time((S₁ − S₂) / S₁) × 60min/hr
Fraction Stopped(S₁ − S₂) / S₁decimal
Running Time60 − Stoppage Timemin/hr
Speed With StoppageS₁ × (1 − Stoppage/60)km/h

Stoppage Time Example Problems

Practice these stoppage time questions — click any card to load the values into the calculator above.

1

Example 1 — Train (Default)

Without stoppage: 75 km/h. With stoppage: 60 km/h.

= 75 − 6075 × 60 = 1575 × 60 = 0.2 × 60 = 12 min/hr
2

Example 2 — Bus

Without stoppage: 50 km/h. With stoppage: 40 km/h.

= 50 − 4050 × 60 = 1050 × 60 = 15 × 60 = 12 min/hr
3

Example 3 — Express Train

Without stoppage: 80 km/h. With stoppage: 60 km/h.

= 80 − 6080 × 60 = 2080 × 60 = 0.25 × 60 = 15 min/hr
4

Example 4 — Small Difference

Without stoppage: 100 km/h. With stoppage: 90 km/h.

= 100 − 90100 × 60 = 10100 × 60 = 6 min/hr
5

Example 5 — Local Train

Without stoppage: 48 km/h. With stoppage: 36 km/h.

= 48 − 3648 × 60 = 14 × 60 = 15 min/hr ✓
6

Example 6 — Reverse: Find S₂

S₁ = 60 km/h, stops for 10 min/hr. Find S₂.

1060 = 60 − S₂60 → 60 − S₂ = 10 → S₂ = 50 km/h

When to Use the Stoppage Time Calculator

This calculator is useful whenever you're given two average speeds — one for uninterrupted travel and one for travel with halts — and need to find the idle time.

🚂
Railway Exams

Stoppage time questions are a staple in RRB, SSC, and Indian Railways exams.

🎓
Competitive Exams

CAT, Bank PO, CLAT, and other aptitude tests include TSD stoppage problems.

🏫
School & College

Students solving Time–Speed–Distance chapters can verify their answers instantly.

🚌
Daily Travel

Estimate how much time per hour your bus or train spends at stops on a route.

Common Mistakes in Stoppage Time Problems

Avoid these frequent errors that cost marks in exams:

❌ Wrong

Dividing by S₂ Instead of S₁

Students sometimes use (S₁ − S₂) / S₂ instead of dividing by S₁.

✅ Rule: Always divide by S₁ (speed without stoppage).
❌ Wrong

Forgetting to Multiply by 60

(S₁ − S₂)/S₁ gives time in hours, not minutes.

✅ Rule: Always multiply by 60 to convert to minutes per hour.
❌ Wrong

Swapping S₁ and S₂

Putting the lower speed as S₁ leads to a negative or wrong answer.

✅ Rule: S₁ (without stoppage) is always the greater speed.

People Also Ask

What is stoppage time in TSD?

Stoppage time is the number of minutes per hour a vehicle spends stationary during a journey.

How is it different from travel time?

Travel time is total journey duration. Stoppage time is only the idle portion per hour.

Can stoppage time exceed 60 minutes?

No. It's per hour, so maximum is 60 min (vehicle never moves). In practice S₂ > 0 so always less.

What if S₁ equals S₂?

Stoppage time is 0 minutes — no stoppages at all.

Stoppage Time Calculator FAQs

Everything you need to know about calculating stoppage time using the TSD formula.

Q What is the stoppage time formula?

Stoppage Time (min/hr) = ((S₁ − S₂) / S₁) × 60

Where S₁ = speed without stoppage and S₂ = speed with stoppage.

Q Why divide by S₁ and not S₂?

S₁ represents the train's full capacity. The fraction (S₁−S₂)/S₁ tells what portion of each hour is wasted.

Q Can I use m/s instead of km/h?

Yes. As long as both S₁ and S₂ use the same unit, the result is always in minutes per hour.

Q Is this used in railway exams?

Yes. It's commonly seen in RRB Group D, ALP, SSC CGL, CHSL, Bank PO and other aptitude exams.

Q What if the problem gives distance and time?

First find speed using Speed = Distance ÷ Time for both cases, then apply the stoppage formula. Use our TSD Calculator to find speed first.

Related Calculators

Explore more free calculators to solve common math and physics problems:

More Time Speed Distance Calculators

Solve every type of TSD problem with our dedicated calculators:

Master Stoppage Time Problems

Understanding the stoppage time formula gives you an edge in aptitude tests and helps you quickly identify how much idle time is built into a vehicle's journey.

The key insight is simple: when a train's average speed drops due to halts, the fraction of speed lost directly tells you the fraction of each hour spent stopped. Practice with different values using the calculator above, explore all 4 solution methods, and build speed and confidence for your next exam.

Bookmark this page and share it with friends preparing for competitive exams. For more practice, explore our Time Speed Distance Calculator and the full collection of TSD calculators above.