SSC CGL Quant – Time, Speed & Distance – Tier II Level · Marathon

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SSC CGL Quant – Time, Speed & Distance – Tier II Level · Marathon – 10 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.  
Two trains start at the same time from X and Y towards each other. After meeting, the first train takes 16 hours to reach Y and the second takes 9 hours to reach X. If the first train runs at 45 km/h, what is the speed of the second?

Correct Answer: A [60 km/h]

Explanation:

Speeds = √9 : √16 = 3 : 4 → second = 45 × 4/3 = 60 km/h.

2.  
On a 1,200 m circular track, A and B start together from the same point at 8 m/s and 5 m/s in the same direction. After how long do they first meet at the starting point?

Correct Answer: B [20 minutes]

Explanation:

Lap times 150 s and 240 s → LCM 1,200 s = 20 min.

3.  
Two runners with speeds in the ratio 7 : 4 run on a circular track from the same point in opposite directions. At how many distinct points on the track do they meet?

Correct Answer: C [11 points]

Explanation:

Opposite directions: a + b = 7 + 4 = 11 distinct points (speeds in lowest terms).

4.  
A man rows to a place 48 km away and back in 14 hours. He finds he can row 4 km downstream in the same time as 3 km upstream. What is the speed of the stream?

Correct Answer: B [1 km/h]

Explanation:

d : p = 4 : 3; 48/4k + 48/3k = 14 → k = 2 → d = 8, p = 6 → stream = 1 km/h.

5.  
Train A leaves a station at 6 a.m. at 60 km/h. Train B leaves the same station at 8 a.m. at 80 km/h on a parallel track in the same direction. At what time does B overtake A?

Correct Answer: A [2 p.m.]

Explanation:

Head start 120 km; gap closes at 20 km/h → 6 h after 8 a.m.

6.  
In a 400 m race A beats B by 40 m. If A gives B a start of 25 m, by how many metres does A win?

Correct Answer: D [15 m]

Explanation:

Speeds 10 : 9. While A runs 400 m, B runs 360 m but needs 375 m → A wins by 15 m.

7.  
A car travels 120 km at 40 km/h, halts for 1 hour, and then travels 240 km at 60 km/h. What is its average speed for the whole journey, including the halt?

Correct Answer: B [45 km/h]

Explanation:

Time 3 + 1 + 4 = 8 h for 360 km → 45 km/h.

8.  
Statement-basedWhich of the following is/are correct?
I. If after meeting two bodies take a and b hours to finish, their speeds are in the ratio √b : √a.
II. Runners with speeds 5 : 3 in opposite directions on a circle meet at 8 distinct points.
III. The speed of the stream is half the sum of the downstream and upstream speeds.

Correct Answer: D [I and II only]

Explanation:

I and II are standard results.

9.  
A boat takes twice as long to go a certain distance upstream as to go the same distance downstream. What is the ratio of the boat's speed in still water to the speed of the stream?

Correct Answer: C [3 : 1]

Explanation:

u + v = 2(u − v) → u = 3v → 3 : 1.

10.  
Two trains of equal length cross each other in 10 seconds when running in opposite directions and in 30 seconds when running in the same direction. What is the ratio of their speeds?

Correct Answer: A [2 : 1]

Explanation:

(a + b)/(a − b) = 30/10 = 3 → a = 2b → 2 : 1.

➤ Full notes, shortcuts and every answer explained – SSC CGL 2026 Quantitative Aptitude book (₹149): www.shanmugamiasacademy.in/study-materials/ssc-cgl-quantitative-aptitude

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