**Dear Readers,**

**We have started the 56 days Study Plan for IBPS PO Prelims. This study plan is to efficiently utilise time and hard work to channelise it towards smart work. From now quizzes on Bankersadda will be according to the given study plan and this will help you prepare important topics in limited time.**

**Today is DAY 38 of the study plan and in Quantitative Aptitude today’s chapter is Practice of 8-10 Chapters (Time & Distance And Boat & Streams)**

**Q1. A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the stream is:**

(a) 10 km/h

(b) 5 km/h

(c) 4 km/h

(d) 6 km/h

(e) None of these

**Q2. A train passes two bridges 104 m and 194 m long in 12 seconds and 18 seconds respectively. Find the speed of the train.**

(a) 16 kmph

(b) 72 kmph

(c) 27 kmph

(d) 54 kmph

(e) None of these

**Q3. In nut and bolts factory, one machine produces only nuts at the rate of 100 nuts per minute and need to be cleaned for 5 minutes after production of 1000 nuts. Another machine produces only bolts at the rate of 75 bolts per minute and need to be cleaned for 10 minutes after production of every 1500 bolts. If both the machine start production at the same time, what is the minimum duration required for producing 9000 pairs of nuts and bolts?**

(a) 150 minutes

(b) 170 minutes

(c) 200 minutes

(d) 180 minutes

(e) None of these

**Q4. A and B start at the same time from two ends S and T, at speeds of 7 m/sec and 11 m/sec towards each other, ST being 54 m. After reaching the opposite ends, they retrace their path and start moving towards each other. Find the total distance travelled by A when he meets B for the second time.**

(a) 63 m

(b) 55 m

(c) 75 m

(d) 70 m

(e) None of these

**Q5. A leak was found in a ship when it was 77 km from the shore. It was found that the leak admits 2.25 tonnes of water in 5.5 minutes. 92 tonnes will suffice to sink the ship. But the pumps can throw out the water at the rate of 12 tonnes an hour. Find the average rate of sailing at which the ship may reach the shore as it begins to sink.**

(a) 9.75 km/h

(b) 13 km/h

(c) 14.5 km/h

(d) 10.5 km/h

(e) None of these

**Q6. The driver of a car driving at the rate of 36 kmph locates a bus 40 meters ahead of him. After 20 seconds the bus is 60 meters behind. The speed of the bus is**

(a) 36 kmph

(b) 20 m/sec.

(c) 72 m/sec.

(d) 18 kmph

(e) None of these

**Q7. A takes a certain time to go downstream on a river between two villages. He takes 7 times as much time to cover the same distance upstream. What is the speed of the stream, if the distance between the villages is 60 km, which can be covered in 5 hours if the boat travels in still water?**

(a) 18 kmph

(b) 5 kmph

(c) 9 kmph

(d) 8 kmph

(e) None of these

**Q8. Local trains leave from a station at an interval of 15 minute at a speed of 16 km/h. A man moving from opposite side meets the trains at an interval of 12 minutes. Find the speed of the man.**

(a) 4 km/h

(b) 3.5 km/h

(c) 4.5 km/h

(d) 5 km/h

(e) None of these

**Q9. Three friends A, B and C live in Patiputra. They want to go to see the neighboring city Kalinga which is 150 km away from Patiputra but they have only one bike which can move at the speed of 40 km/hr. Each one of them can walk at the speed of 8 km/hr. (Only two people can travel by the bike at a time) What is the minimum time taken to reach to Kalinga if they used the best way to go.**

(a) 6 hrs

(b) 7 hrs

(c) 7.5 hrs

(d) 8.5 hrs

(e) None of these

**Q10. In a race of 800 m, L beats M by 45 seconds and beats N by 150 m. If M and N run a 800 m race, M beats N by 45 seconds. Find the time taken (in seconds) by M to run the race.**

(a) 870

(b) 214

(c) 217.5

(d) 435

(e) None of these

**Q11. Two trains T_1 and T_2 start moving towards each other from two station, 400 kms apart with seeds 60 and 40 km per hour respectively. At the same time a bird sitting on the engine of the first train starts flying towards second train, it touches the engine of second train and comes back with the same speed, again touches the engine of first train and returns to second train and so on till the trains collide. If the speed on the bird in first direction is 150 kmph and in the opposite direction it is 60 kmph. Calculate distance travelled by the bird in the first direction?**

(a) 240 kms

(b) 300 kms

(c) 200 kms

(d) 280 kms

(e) None of these

**Q12. Raman leaves home every day at 6 p.m. to pick his son from office and returns home at 8 p.m. One day, the office was over at 6 p.m. and his son started walking home from office. Raman unaware of this, starts from home as usual and meets his son on the way and returns home with son 20 minutes early. If the speed of Raman’s car is 45 kmph, find the walking speed of his son.**

(a) 9 kmph

(b) 5 kmph

(c) 10 kmph

(d) 6 kmph

(e) None of these

**Q13. In a 400 m race A beats B by 30 m or 6 seconds, what is A’s speed?**

**Q14. Two runners run in the same direction along a circular track 7 km in length. The faster runner overtakes the slower every 1 hour. Find the speed of the slower runner, if the faster one completes one length of the track 10 minutes sooner than the other.**

(a) 20 kmph

(b) 18 kmph

(c) 14 kmph

(d) 12 kmph

(e) None of these

**Q15. Train A of length 200 metres moving at 72 kmph and train B of length 350 metres moving at 108 kmph running on parallel tracks enter a 400-metre-long tunnel at the same instant from opposite directions. How far is the point where the rear ends of the two trains cross each other, from the point of entry of the slower train?**

(a) 120 m

(b) 75 m

(c) 84 m

(d) 180 m

(e) None of these

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