SSC CGL Quant – Time, Speed & Distance – Level 2 · Exam Level · Tier I Sprint

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SSC CGL Quant – Time, Speed & Distance – Level 2 · Exam Level · Tier I Sprint – 15 questions, subject: Quantitative Aptitude. Every question has the correct answer with a one-line explanation; tap "Show Answer". Free practice for TNPSC, UPSC, SSC, Bank and RRB exams – Shanmugam IAS Academy, Coimbatore.

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1.  
A train 360 m long crosses a bridge 240 m long in 40 seconds. What is the speed of the train?

Correct Answer: C [54 km/h]

Explanation:

(360 + 240)/40 = 15 m/s = 54 km/h.

2.  
Walking at 3 km/h a girl reaches her school 8 minutes late; at 4 km/h she is 7 minutes early. How far is the school?

Correct Answer: B [3 km]

Explanation:

Gap 15 min = 1/4 h → D = 3 × 4 × 1/4 ÷ 1 = 3 km.

3.  
Two trains 240 m and 200 m long run at 54 km/h and 90 km/h in opposite directions on parallel tracks. How long do they take to cross each other?

Correct Answer: D [11 s]

Explanation:

440 m ÷ (144 × 5/18 = 40 m/s) = 11 s.

4.  
A boat covers 30 km downstream in 2 hours and the same distance upstream in 3 hours. What is the speed of the stream?

Correct Answer: A [2.5 km/h]

Explanation:

Down 15, up 10 → stream = (15 − 10)/2 = 2.5 km/h.

5.  

Directions (Q 17–18): The distance–time graph shows two motorists R and S on the same road from the same starting point.

Data graphHow many hours after R starts does S catch up with R?

Correct Answer: D [2.5 h]

Explanation:

R: 15 km/h; S: 25 km/h from 1 h.

6.  
(Use the directions above – Q 17–18)
Data graphWhat is the difference between the speeds of S and R?

Correct Answer: C [10 km/h]

Explanation:

S covers 75 km in 3 h (25 km/h); R 60 km in 4 h (15 km/h) → 10 km/h.

7.  
Two-quantity comparison
Quantity I: average speed going at 20 km/h and returning the same way at 30 km/h
Quantity II: average speed driving 1 hour at 20 km/h and then 1 hour at 28 km/h

Correct Answer: C [Quantity I = Quantity II]

Explanation:

QI = 2 × 20 × 30/50 = 24; QII = (20 + 28)/2 = 24 (equal times).

8.  
Trick SpotterA man covers 18 km at 9 km/h and another 18 km at 18 km/h. Which is the fastest correct way to get his average speed?

Correct Answer: A [2 × 9 × 18 ÷ (9 + 18)]

Explanation:

Equal distances → Harmonic Half: 324/27 = 12 km/h.

9.  
Spot My Mistake“A 150 m train at 54 km/h crosses a 300 m platform in 300 ÷ 15 = 20 s.” What is the correct time?

Correct Answer: B [30 s]

Explanation:

Distance = 150 + 300 = 450 m → 450 ÷ 15 = 30 s.

10.  
A thief escapes on a bike at 30 km/h. A policeman starts after him 20 minutes later at 40 km/h. How long after starting does the policeman catch him?

Correct Answer: B [1 hour]

Explanation:

Head start 30 × 1/3 = 10 km; gap closes at 10 km/h → 1 hour.

11.  
In a 500 m race, A beats B by 50 m or by 10 seconds. How long does A take to finish the race?

Correct Answer: C [90 s]

Explanation:

B runs 50 m in 10 s → 5 m/s → B takes 100 s; A takes 10 s less = 90 s.

12.  
Assertion–Reason
A: A man sitting in a train at 60 km/h sees a 120 m train coming the other way at 48 km/h pass him in 4 seconds.
R: For a man in a train, only the length of the other train has to be crossed, at the relative speed.

Correct Answer: D [Both A and R are true and R explains A]

Explanation:

120 ÷ (108 × 5/18 = 30) = 4 s.

13.  
Reverse questionA train at 75 km/h crosses a 250 m platform in 24 seconds. How long is the train?

Correct Answer: A [250 m]

Explanation:

75 × 5/18 × 24 = 500 m covered → train = 500 − 250 = 250 m.

14.  
Walking at 4/5 of his usual speed, a man reaches his office 15 minutes late. What is his usual time?

Correct Answer: A [60 min]

Explanation:

At 4/5 speed time is 5/4 of usual → extra 1/4 of usual = 15 min → usual 60 min.

15.  
A car covers three equal distances at 10 km/h, 15 km/h and 30 km/h. What is its average speed?

Correct Answer: D [15 km/h]

Explanation:

Take each distance as 30 km: times 3 + 2 + 1 = 6 h for 90 km → 15 km/h (not the simple average 18⅓).

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