SSC CGL Race and Relative Speed Practice Test 7
15 SSC CGL race and relative speed questions with chapter-wise explanations and exam-style options.
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SSC CGL Race and Relative Speed Practice Test 7
15 SSC CGL race and relative speed questions with chapter-wise explanations and exam-style options.
Preview all 15 questions in SSC CGL Race and Relative Speed Practice Test 7 (no login required)
- Race and Relative Speed
1. A car travels 180 km in 4 hours. Speed is:
- A. 40 km/h
- B. 42 km/h
- C. 45 km/h (Correct)
- D. 50 km/h
Explanation: Speed=180/4=45 km/h.
- Race and Relative Speed
2. A 120m train crosses a pole in 6 seconds. Speed in km/h:
- A. 60
- B. 66
- C. 72 (Correct)
- D. 78
Explanation: Speed=120/6=20 m/s=72 km/h.
- Race and Relative Speed
3. Boat speed in still water is 10 km/h, river current is 2 km/h. Upstream speed is:
- A. 6 km/h
- B. 7 km/h
- C. 8 km/h (Correct)
- D. 9 km/h
Explanation: Upstream=10−2=8 km/h.
- Race and Relative Speed
4. Two trains of 100m and 80m run at 60 km/h and 40 km/h in opposite directions. Time to pass each other:
- A. 6.48 s (Correct)
- B. 7 s
- C. 7.2 s
- D. 8 s
Explanation: Relative speed = 100 km/h = 250/9 m/s. Total distance = 180 m. Time = 180 ÷ (250/9) = 6.48 seconds.
- Race and Relative Speed
5. A travels 120 km at 40 km/h and next 120 km at 60 km/h. Average speed:
- A. 45 km/h
- B. 48 km/h (Correct)
- C. 50 km/h
- D. 52 km/h
Explanation: Total time=3+2=5 hours. Avg=240/5=48 km/h.
- Race and Relative Speed
6. A boat goes 30 km downstream in 2 hours and 20 km upstream in 2.5 hours. Speed of stream is:
- A. 2.5 km/h
- B. 3 km/h
- C. 3.5 km/h (Correct)
- D. 4 km/h
Explanation: Downstream speed = 15 km/h and upstream speed = 8 km/h. Stream speed = (15 - 8) / 2 = 3.5 km/h.
- Race and Relative Speed
7. A train 200m long crosses a bridge 400m long at 60 km/h. Time to cross:
- A. 32 s
- B. 34 s
- C. 36 s (Correct)
- D. 38 s
Explanation: Total distance=600m. Speed=60km/h=50/3 m/s. Time=600÷(50/3)=36 s.
- Race and Relative Speed
8. A man walks at 5 km/h. To cover 15 km, he takes:
- A. 2.5 hours
- B. 3 hours (Correct)
- C. 3.5 hours
- D. 4 hours
Explanation: Time=15/5=3 hours.
- Race and Relative Speed
9. Two persons start from same point, travel in opposite directions at 4 km/h and 6 km/h. After 3 hours, distance between them:
- A. 24 km
- B. 28 km
- C. 30 km (Correct)
- D. 32 km
Explanation: Relative speed=10 km/h. Distance=10×3=30 km.
- Race and Relative Speed
10. A person covers first 1/3 distance at 5 km/h, next 1/3 at 10 km/h, last 1/3 at 15 km/h. Average speed:
- A. 7.5 km/h
- B. 8 km/h
- C. 8.18 km/h (Correct)
- D. 9 km/h
Explanation: Let total = 3d. Times: d/5+d/10+d/15 = 6d/30+3d/30+2d/30=11d/30. Avg=3d÷(11d/30)=90/11≈8.18 km/h.
- Race and Relative Speed
11. A train crosses a 250m platform in 30 seconds at 72 km/h. Length of train:
- A. 300m
- B. 330m
- C. 350m (Correct)
- D. 370m
Explanation: Speed=20 m/s. Distance=20×30=600m. Train length=600−250=350m.
- Race and Relative Speed
12. Convert 90 km/h to m/s:
- A. 20 m/s
- B. 22 m/s
- C. 25 m/s (Correct)
- D. 30 m/s
Explanation: 90 × 5/18 = 25 m/s.
- Race and Relative Speed
13. Downstream speed is 14 km/h and upstream is 10 km/h. Speed of boat in still water:
- A. 10 km/h
- B. 11 km/h
- C. 12 km/h (Correct)
- D. 13 km/h
Explanation: Boat speed=(14+10)/2=12 km/h.
- Race and Relative Speed
14. Two trains of same length running in same direction at 60 and 40 km/h. Faster overtakes in 36 seconds. Length of each train:
- A. 75m
- B. 80m
- C. 100m (Correct)
- D. 120m
Explanation: Relative speed=20 km/h=50/9 m/s. 2L=36×50/9=200m. L=100m.
- Race and Relative Speed
15. A bus travels 60 km at 30 km/h and returns at 20 km/h. Average speed for round trip:
- A. 22 km/h
- B. 24 km/h (Correct)
- C. 25 km/h
- D. 26 km/h
Explanation: Avg=2×30×20/(30+20)=1200/50=24 km/h.