Table of Contents

**Q1. A car can cover a distance in 9 hour at the speed of 70 km/hr at what percent should the speed of car increase so distance can covered in 6 hr.**

(a) 25%

(b) 40%

(c) 35%

(d) 50%

(e) 60%

**Q2. What is the speed of car (in km/hr), which overtakes a running train in 20 second. Length of train is 180 meter and its speed is 33⅓% less than speed of car. (Car’s length is negligible)**

(a) 100 km/hr

(b) 81 km/hr

(c) 105 km/hr

(d) 90 km/hr

(e) 97.2 km/hr

**Q3. A boat can cover 22.4 km downstream in 48 minutes. If ratio between speed of boat in still water and speed of stream is 5 : 2, then find time taken by boat to cover 66 km in upstream ?**

(a) 5.5 hour

(b) 4.8 hour

(c) 5 hour

(d) 6.6 hour

(e) 6 hour

**Q4. The ratio of speed of train P and train Q is 4 : 5. Train P crosses a pole in 6 sec while train Q crosses the same pole in 4 sec. If train P crosses a platform of length 480 m in 18 sec then in how much time train Q will cross the same platform?**

(a) 16.3 sec

(b) 14.2 sec

(c) 13.6 sec

(d) 18 sec

(e) 16 sec

**Q5. Abhishek goes from GTB Nagar to Nirman Vihar by metro. He leaves GTB Nagar at 9:00 am. Due to technical fault metro stops for 10 min. at Yamuna bank and then proceed again with some higher speed and reaches Nirman Vihar on time which is 9:40 AM. If speed of metro before Yamuna bank was 72 km/hr and distance between GTB Nagar to Yamuna bank and Yamuna bank to Nirman Vihar is 24 km and 14 km respectively then find the increased speed of metro (neglect the usual stoppage time of metro at different stations).**

(a) 84 kmph

(b) 92 kmph

(c) 90 kmph

(d) 80 kmph

(e) 88 kmph

**Q6. Speed of a boat in still water is 50% more than upstream speed of boat. The boat takes 4 hours to cover a distance of 40 km downstream, then speed of boat in still water is**

(a) 7.5 kmph

(b) 6 kmph

(c) 8 kmph

(d) 8.5 kmph

(e) 6.4 kmph

**Q7. Two trains A and B of length 400 m and (400 + x) m respectively are moving with same speed. If train A and B crosses a pole in 16 sec and 24 secs respectively then in what time train ‘B’ will cross 400 m long platform.**

(a) 32 sec

(b) 40 sec

(c) 45 sec

(d) 54 sec

(e) 24 sec

**Q8. A boat goes 384 km upstream and returns back in 40 hours. If the ratio of speed of boat in still water to speed of current in 5 : 1 then find the upstream speed.**

(a) 16 kmph

(b) 20 kmph

(c) 18 kmph

(d) 22 kmph

(e) 24 kmph

**Q9. A man can row 6 km/hr in still water. If the speed of the current is 2 km/hr, he takes 4 hours more in upstream than in the downstream to cover a certain distance. The distance is:**

(a) 30 km

(b) 24 km

(c) 20 km

(d) 32 km

(e) 36 km

**Q10. A train of length 180 meter cross a platform in 15 seconds with a speed of 60 km/h. A man cross the same platform in 4 minute find the speed of man?**

(a) 1.05 km/h

(b) 3 km/h

(c) 2.05 km/h

(d) 2.1 km/h

(e) 2 km/h

**Q11. If I go to my office by bike, I reach my office 30 min early. If I go to my office by metro, I reach 15 min late. The distance between my home to office be 60 km then what is the actual office time If I left home for office at 8:30 AM? (In each case distance remains same and Ratio between speed of bike to metro = 3 : 2)**

(a) 9 : 30 AM

(b) 10 : 30 AM

(c) 11 : 30 AM

(d) 9 : 00 AM

(e) 10 : 00 AM

**Q12. A boat goes upstream and downstream in 8 hours between two points A and B. The speed of boat in still water is 8 km/h. If AB = 24 km then speed of current is what percent of speed of boat in still water?**

(a) 60%

(b) 50%

(c) 40%

(d) 70%

(e) 30%

**Q13. The ratio of speed of boat in still water to speed of stream is 11 : 1. If the boat takes 1 hour more to cover 220 km upstream than to cover same distance in still water. Then find the speed of boat in still water.**

(a) 22 km/hr

(b) 18 km/hr

(c) 15 km/hr

(d) 20 km/hr

(e) 25 km/hr

**Q14. The ratio of length of two train A and B are 7 : 11. If these two train crosses each other while travelling in same direction in 144 sec given that speed of train A and B is 99 kmph and 63 kmph respectively. Then find the difference between length of both train.**

(a) 320 m

(b) 200 m

(c) 180 m

(d) 360 m

(e) 400 m

**Q15. Two persons A and B start from some point ‘P’ and travelled in same direction. Ratio of speed of A to speed of B is 6 : 5. After 2 hours ‘A’ continues to move in same direction but B stops. After 5 hours distance between them becomes 100 km. Find the speed of A.**

(a) 12 km/hr

(b) 24 km/hr

(c) 18 km/hr

(d) 60 km/hr

(e) 30 km/hr

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