Time and Distance MCQs for CUET GAT 2026 – Concepts, Formulas, Short Tricks & Practice Questions

Introduction to Time and Distance MCQs

Time and Distance MCQs for CUET GAT 2026 are one of the most important and frequently asked topics in Quantitative Aptitude for competitive exams like CUET GAT 2026. This topic tests your ability to calculate movement, speed comparison, travel time, and distance using logical reasoning and mathematical formulas.

Questions from this topic often include trains, cars, boats, walking speed, relative speed, and average speed, making it essential for scoring high marks in the exam.

A strong command of Time and Distance helps students solve questions quickly and accurately, which is crucial in time-bound entrance exams.

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What is Time and Distance?

Time and Distance is a mathematical concept that describes the relationship between how fast an object moves, the distance it travels, and the time taken.

Basic Formula

Speed = Distance ÷ Time

Distance = Speed × Time

Time = Distance ÷ Speed

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Important Formulas to Remember

1. Average Speed = Total Distance ÷ Total Time
2. Relative Speed (Opposite Direction) = Speed₁ + Speed₂
3. Relative Speed (Same Direction) = Speed₁ − Speed₂
4. Train passing pole Time = Length of Train ÷ Speed
5. Train passing platform Time = (Train Length + Platform Length) ÷ Speed
6. 1 km/hr = 5/18 m/s
7. 1 m/s = 18/5 km/hr

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Short Tricks to Solve Time and Distance Questions

✅ Convert units first (km/hr ↔ m/s)
✅ Use ratio method to compare speeds
✅ For trains, always add lengths
✅ For same distance problems, use inverse ratio of speeds
✅ For average speed, never take simple average unless distances are equal
✅ Use relative speed for moving objects

Golden Trick:
If distance is constant,
Speed ∝ 1 / Time

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Common Patterns in CUET Time and Distance Questions

1. Train crossing pole or platform
2. Relative speed problems
3. Average speed calculation
4. Same distance different speeds
5. Upstream and downstream
6. Time comparison problems
7. Ratio-based speed questions

Q 4364) A train 150 m long passes a pole in 15 seconds. Find its speed.

(A) 28 km/hr
(B) 36 km/hr
(C) 45 km/hr
(D) 52 km/hr

Answer: (B) 36 km/hr

Solution:
Speed = 150 ÷ 15
Speed = 10 m/s

Convert to km/hr:

10 × 18 / 5
= 36 km/hr

Q 4365) A train 200 m long crosses a platform 300 m long in 25 seconds. Find the speed.

(A) 52 km/hr
(B) 60 km/hr
(C) 72 km/hr
(D) 80 km/hr

Answer: (C) 72 km/hr

Solution:
Total distance = 200 + 300
= 500 m

Speed = 500 ÷ 25
= 20 m/s

Convert:

20 × 18 / 5
= 72 km/hr

Q 4366) A car travels at 60 km/hr for 2 hours and 80 km/hr for 3 hours. Find average speed.

(A) 62 km/hr
(B) 68 km/hr
(C) 70 km/hr
(D) 72 km/hr

Answer: (D) 72 km/hr

Solution:

Distance₁ = 60 × 2 = 120
Distance₂ = 80 × 3 = 240

Total distance = 360

Total time = 5

Average speed = 360 ÷ 5
= 72 km/hr

Q 4367) If a train takes 10 seconds to pass a pole and its speed is 54 km/hr, find its length.

(A) 140 m
(B) 145 m
(C) 150 m
(D) 155 m

Answer: (C) 150 m

Solution:

Convert speed:

54 × 5 / 18
= 15 m/s

Length = 15 × 10
= 150 m

Q 4368) Two cars start from the same point in the same direction at 60 km/hr and 40 km/hr. Find relative speed.

(A) 18 km/hr
(B) 20 km/hr
(C) 22 km/hr
(D) 24 km/hr

Answer: (B) 20 km/hr

Solution:
Relative speed = 60 − 40
= 20 km/hr

Q 4369) A man covers a distance at 40 km/hr and returns at 60 km/hr. Find average speed.

(A) 40 km/hr
(B) 46 km/hr
(C) 48 km/hr
(D) 50 km/hr

Answer: (C) 48 km/hr

Solution:

Average speed formula:

2ab / (a + b)

2 × 40 × 60
= 4800

4800 / 100
= 48 km/hr

Q 4370) A train 120 m long crosses another train 180 m long moving in opposite direction in 10 seconds. Relative speed?

(A) 22 m/s
(B) 25 m/s
(C) 28 m/s
(D) 30 m/s

Answer: (D) 30 m/s

Solution:

Total length:

120 + 180
= 300 m

Speed = 300 ÷ 10
= 30 m/s

Q 4371) A person walks at 6 km/hr instead of 4 km/hr and reaches 1 hour earlier. Find distance.

(A) 10 km
(B) 12 km
(C) 14 km
(D) 17 km

Answer: (B) 12 km

Speed difference:

6 − 4 = 2

Distance =
(4 × 6) / 2

= 12 km

Q 4372) A train moving at 72 km/hr crosses a pole in 20 seconds. Find length.

(A) 400 m
(B) 470 m
(C) 500 m
(D) 560 m

Answer: (A) 400 m

Convert speed:

72 × 5 / 18
= 20 m/s

Length:

20 × 20
= 400 m

Q 4373) Two trains of equal length cross each other in 8 seconds when moving in opposite directions at 60 km/hr and 40 km/hr. Find length of each train.

(A) 110 m
(B) 111 m
(C) 112 m
(D) 113 m

Answer: (B) 111 m

Solution:

Relative speed
= 60 + 40
= 100 km/hr

Convert:

100 × 5 / 18
= 27.78 m/s

Total length
= Speed × Time

= 27.78 × 8
≈ 222 m

Length of each train

= 222 ÷ 2

= 111 m

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Short Tricks for Hard-Level Questions

✅ Use relative speed for moving objects
✅ Add lengths in train problems
✅ Use 2ab / (a + b) for average speed
✅ Convert units quickly
✅ Use ratio method instead of long calculation
✅ Always check units before solving

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Why This Practice Set is Important for CUET UG GAT 2026

✔ Matches real exam difficulty
✔ Includes train-based questions
✔ Improves speed and accuracy
✔ Covers frequently asked patterns
✔ Builds strong quantitative aptitude
✔ Helps score high in CUET

Why Time and Distance MCQs are Important for CUET UG GAT 2026

Time, Speed and Distance is a high-weightage topic in the Quantitative Aptitude section of CUET UG GAT.

Key Reasons

✔ Frequently asked in CUET UG GAT exams
✔ Improves calculation speed
✔ Builds logical reasoning skills
✔ Essential for train and motion problems
✔ Helps score quick marks
✔ Appears in mock tests and real exams

Students who master this topic can solve questions faster and improve their overall exam performance.

FAQs – Time and Distance

Q1. What is the basic formula of Time and Distance?

Speed = Distance ÷ Time

Q2. How do you calculate average speed?

Average Speed = Total Distance ÷ Total Time

Q3. Why are train problems important?

Train problems test relative speed and distance concepts, which are commonly asked in competitive exams.

Q4. How can I solve Time and Distance questions faster?

Use:

• Unit conversion
• Ratio method
• Relative speed
• Formula shortcuts

Q5. Is Time and Distance important for CUET 2026?

Yes. It is one of the most important topics in Quantitative Aptitude for CUET.

Conclusion

Time and Distance is a fundamental topic in Quantitative Aptitude that plays a major role in CUET UG GAT 2026 preparation. By understanding formulas, practicing train-based problems, and applying short tricks, students can significantly improve their speed and accuracy.

Regular practice of high-level MCQs and mastering common patterns will help candidates perform confidently in the exam and achieve higher scores.

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