# Time, Speed and Distance Questions for IBPS RRB Prelims Exam: 15th July 2018

**Dear students,**

**Numerical Ability or Quantitative Aptitude**Section has given

**heebie-jeebies**to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the

**Quantitative Aptitude quiz**to help you practice with the best of latest pattern questions.

**Q1. The distance between two places A and B is 320 km. A car departs from place A for place B at a speed of 55 kmph at 7 am. Another car departs from place B for place A at a speed of 45 kmph at 11 am. At what time will both the cars meet each other?**

(a) 11 am

(b) 12 noon

(c) 1 pm

(d) 12 : 30 pm

(e) 1 : 30 pm

**S1. Ans.(b)**

**Sol.**

Distance travelled by the first car in 4 hours =Speed × Time = 55 × 4 = 220 km

Remaining distance = 320 – 220 = 100 km

Time for both cars to meet = Distance/(Relative Speed)

=100/(55+45)=100/100=1 hour

∴ Both the cars will meet after 1 hours means at (11am + 1) = 12 noon.

**Q2. A man rows to a place 210 km away and comes back to the starting point. If the speed of the stream is 3 kmph and the speed of the boat in still water is 18 kmph, then what is the total time taken by him?**

(a) 24 hours

(b) 25 hours

(c) 26 hours

(d) 22 hours

(e) 28 hours

**S2. Ans.(a)**

**Sol.**

**Q3. A person travelled a distance of 30 km in 8 hours. He travelled partly on foot at the rate of 3 kmph and partly on bicycle at the rate of 5 kmph. The distance travelled on foot is?**

(a) 14 km

(b) 15 km

(c) 16 km

(d) 17 km

(e) 20 km

**S3. Ans.(b)**

**Sol.**

Let the distance traveled on foot be x km.

**Q4. A plane left 30 min later than its scheduled time to reach its destination 1500 km away. In order to reach in time, it increases its speed by 250 km/hr. What is its original speed?**

(a) 1000 km/hr

(b) 750 km/hr

(c) 600 km/hr

(d) 800 km/hr

(e) 650 km/hr

**S4. Ans.(b)**

**Sol.**

Let the original time be T hours and original speed be x km/h

**Q5. The distance between 2 places R and S is 42 km. Anita starts from R with a uniform speed of 4 km/h towards S and at the same time Romita starts from S towards R also with some uniform speed. They meet each other after 6 hours. The speed of Romita is**

(a) 18 km/hr

(b) 20 km/hr

(c) 3 km/hr

(d) 8 km/hr

(e) 6 km/hr

**S5. Ans.(c)**

**Sol.**Let speed of Romita be x km/hr

Distance = 42 km

Time = 6 h

**Q6. A boat moves downstream at the rate of 1 km in 7 1/2 minutes and upstream at the rate of 5 km an hour. What is the speed of the boat in the still water?**

(b) 6 1/2km/hr

(c) 4 km/hr

(d) 3 1/2 km/hr

(e) 5 1/(2 ) km/hr

**S6. Ans.(b)**

**Sol.**

**Q7. The fare of a bus is Rs x for the first five kilometers and Rs 13 per kilometre thereafter. If a passenger pays Rs 2,402/- for a journey of 187 kilometres, what is the value of x?**

(a) Rs 29/-

(b) Rs 39/-

(c) Rs 36/-

(d) Rs 31/-

(e) Rs. 38/-

**S7. Ans.(c)**

**Sol.**

**Total fare of bus = x + 13 × 182**

2402 = x + 2366

x = 36

∴ Value of x = Rs 36/-

**Q8. A train covers 180 km distance in 4 hours. Another train covers the same distance in 1 hour less than that by previous train. What is the difference in the distances covered by these trains in one hour if they are moving in the same direction?**

(a) 45 km

(b) 9 km

(c) 40 km

(d) 42 km

(e) 15 km

**S8. Ans.(e)**

**Sol.**First train speed = 45 km/hr

2nd train speed = 60 km/hr

∴Differencein distance covered in 1 hr = 15 km

**Q9. If a man cycles at 10 kmph, then he arrives at a certain place at 1 pm. If he cycles at 15 kmph, he will arrive at the same place at 11 am. At what speed must he cycle to get there at noon?**

(a) 11 kmph

(b) 12 kmph

(c) 13 kmph

(d) 14 kmph

(e) 16 kmph

**S9. Ans.(b)**

**Sol.**According to question,

**Q10. Two boats A and B start towards each other from two places, 108 km apart. Speeds of the boats A and B in still water are 12 kmph and 15 kmph respectively. If A proceeds downstream and B upstream, they will meet after.**

(a) 4.5 hours

(b) 4 hours

(c) 5.4 hours

(d) 6 hours

(e) 8.4 hours

**S10. Ans.(b)**

**Sol.**

Let the speed of the stream be x kmph and both the boats meet after t hours

According to the question,

**Directions (11-15): What will come in place of question mark (?) in the following number series?**

**Q11. 7, 20,46,98,202,?**

(a) 420

(b) 410

(c) 310

(d) 320

(e) 405

**S11. Ans.(b)**

**Sol.**The given series is

+(13 × 1), +(13 × 2), +(13 × 4), +(13 × 8), +(13 × 16)

**Q12. 210, 209, 213, 186, 202,?**

(a) 138

(b) 77

(c) 177

(d) 327

(e) 187

**S12. Ans.(b)**

**Sol.**The given series is

**Q13. 27, 38, 71, 126, 203, ?**

(a) 212

(b) 202

(c) 301

(d) 312

(e) 302

**S13. Ans.(e)**

**Sol.**The given series is

+(11 × 1), +(11 × 3), +(11 × 5), +(11 × 7), +(11 × 9)

So next no. is 302

**Q14. 435, 354, 282, 219, 165, ?**

(a) 103

(b) 112

(c) 120

(d) 130

(e) 140

**S14. Ans.(c)**

**Sol**. The given series is

–(9 × 9), – (9 × 8), – (9 × 7), – (9 × 6), –(9 × 5)

**Q15. 173, 369, 538, 682, 803, ?**

(a) 884

(b) 867

(c) 903

(d)1003

(e) 906

**S15. Ans.(c)**

**Sol.**The given series is