SSC CGL Time Speed Distance Verified Practice Test 7

1. 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.

2. 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.

3. 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.

4. 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.

5. 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.

6. 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.

7. 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.

8. 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.

9. In a 1000 m race, A beats B by 100 m. B beats C by 50 m. By how much does A beat C in a 1000 m race?

• A. 142 m
• B. 145 m (Correct)
• C. 148 m
• D. 150 m

Explanation: When A runs 1000, B runs 900. When B runs 1000, C runs 950. When B runs 900, C runs 900×950/1000=855. A beats C by 1000−855=145 m.

10. Train A (150m) and train B (200m) run in opposite directions at 60 km/h and 90 km/h. Time to cross:

• A. 7.2 s
• B. 8 s
• C. 8.4 s (Correct)
• D. 9 s

Explanation: Relative speed=60+90=150 km/h=150×5/18=125/3 m/s. Total length=150+200=350m. Time=350÷(125/3)=350×3/125=8.4 s.

11. A and B walk on circular track of 300m. Speeds are 60 m/min and 40 m/min in same direction. They meet after:

• A. 12 min
• B. 15 min (Correct)
• C. 18 min
• D. 20 min

Explanation: Relative speed=20 m/min. Time to meet=300/20=15 min.

12. A cyclist covers 30 km in 2 hours. Time for 75 km at same speed:

• A. 3.5 hours
• B. 4 hours
• C. 5 hours (Correct)
• D. 5.5 hours

Explanation: Speed=15 km/h. Time=75/15=5 hours.

13. Two cities 300 km apart. Trains start simultaneously from each end at 75 km/h and 25 km/h. They meet after:

• A. 2.5 hours
• B. 3 hours (Correct)
• C. 3.5 hours
• D. 4 hours

Explanation: Combined speed=100 km/h. Time=300/100=3 hours.

14. A man goes 10 km at 4 km/h, 20 km at 5 km/h, and 30 km at 6 km/h. Find the average speed, rounded to two decimal places:

• A. 4.8 km/h
• B. 5.22 km/h (Correct)
• C. 5.1 km/h
• D. 5.4 km/h

Explanation: Total distance = 60 km. Total time = 10/4 + 20/5 + 30/6 = 11.5 hours. Average speed = 60/11.5 = 120/23 km/h, approximately 5.22 km/h.

15. A gives B a start of 20 m and still beats him by 5 seconds. A's speed is 6 m/s and B's speed is 5 m/s. Track length is:

• A. 180 m
• B. 240 m
• C. 270 m (Correct)
• D. 300 m

Explanation: Let the track length be L. B runs L - 20 metres. Since A beats B by 5 seconds, (L - 20)/5 - L/6 = 5. Solving gives L = 270 m.