# Time and Distance Practice Set 5

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# Time and Distance Practice Set 5

### Introduction

Time and distance as a topic involves a variety of areas which include speed-time-distance concepts, relative speed, moving and stationary bodies, boats and streams, circular motion, and so on. Time and Distance Practice Set 5 article is useful for candidates preparing for different competitive examinations like RRB ALP/Technical Exams/Junior Engineer Recruitment Exams, SSC, IBPS PO Exams and etc.

### Quiz

1. The length of two trains are 140 m and 160 m respectively. If they run at the speed of 60 km/h and 40 km/h respectively in opposite directions on parallel tracks, then find the time in which they will cross each other

A. 10 sec
B. 10.8 sec
C. 9 sec
D. 9.6 sec

Explanation:

Relative speed of the two trains

= (60 + 40) * $$\frac {5} {18} – \frac {250}{9}$$ m/s

Thus, required time = $$\frac {140 + 160} {\frac{250}{9}}$$ = 10.8 sec

2. Ravi runs 200 metres in 24 seconds. Find his average speed :

A. 20 km/h
B. 24 km/h
C. 28.5 km/h
D. 30 km/h

Explanation:

Average speed = $$\frac {200} {24} * \frac {18}{5}$$ = 30 km/hr.

3. A man completes 30 km of a journey at 6 km/hr and the remaining 40 km of the journey in 5 hours his average speed for the whole journey is :

A. 6$$\frac {4} {11}$$ km/hr
B. 7 km/hr
C. 7$$\frac {1} {2}$$ km/hr
D. 8 km/hr

Explanation:

Average speed = $$\frac {30 + 40} {\frac {30}{6} + 5} = \frac {70}{10}$$ = 7 km/hr.

4. A train with a speed of 60 kmph crosses a pole in 30 seconds. The length of the train is

A. 500 m
B. 750 m
C. 900 m
D. 1000 m

Explanation:

Length of the train =60 * $$\frac {5} {18}$$ * 30 = 500 meter

5. Speed of a boat in still water is 3 km/hr. the speed of the stream is 2 km/hr. The time taken to go 4 km downstream in minutes is

A. 120
B. 96
C. 80
D. 48

Explanation:

Speed of the boat downstream = (3 + 2) km/hr

Distance to be traveled = 4 km

Hence, required time in minutes

= $$\frac {4} {5}$$ × 60 = 48 minutes.

6. A train 100 m long is moving at 58 km/h. The time in seconds, it will take to pass another train 150 m long which is moving at 50 km/h in the same direction from the moment they meet is

A. 20
B. 30
C. 50
D. 70

Explanation:

Relative speed of the two trains with respect to each other

= 68 – 50 = 18 km/hr or 18 × $$\frac {5} {18}$$ = 5 m/s.

Distance to be covered = 150 + 100 = 250 meters

Hence, required time = $$\frac {250} {5}$$ = 50 seconds

7. Speed of a boat in still water is 3 km/hr. the speed of the stream is 1 km/hr. The time taken
to go 4 km upstream in minutes is

A. 48
B. 60
C. 96
D. 120

Explanation:

Required time = $$\frac {4} {3 – 1} * 60$$ = = 120 minutes

8. A train 100 m long is moving at 40 km/h. The time in seconds, it will take to pass another train 150 m long which is moving at 50 km/h in the opposite direction from the moment they meet is

A. 6
B. 8
C. 10
D. 15

Explanation:

Relative speed = (40 + 50) * $$\frac {5} {18}$$ = 25 m/s

Hence, required time

= $$\frac {100 + 150} {25}$$ = 10 sec

9. The speed of a boat m still water is 15 km/hr. The speed of the stream is 3 km/hr. The time
taken to go 12 km downstream in minutes is

A. 40
B. 45
C. 50
D. 55

Explanation:

Relative Speed of boat (down stream) = 15 + 3 = 18 km/pr

Distance = 12 km

i.e, Time (in minutes) = $$\frac {12 * 60} {18}$$ = 40 min

10. A train 200 m long is moving at 40 km/hr . The time in seconds, it will take to pass another train 150 long which is moving at 50 km/h in the opposite direction from the moment they meet is

A. 8
B. 12
C. 14
D. 117

Explanation:

Total distance covered by train of length 200 m to cross another train of length 150 m = 350 m

Relative speed = (40 + 50) km/pr = 90 km/pr

i.e, Time (in seconds) = $$\frac {350 * 18} {90 * 5}$$ = 14 sec

11. A person cycles from one place to another in 100 minutes. If his speed is 18 km/h, the distance between two places is

A. 20 km
B. 30 km
C. 15 km
D. 25 km

Explanation:

Time given = 100 min = $$\frac {100} {960}$$ hr.

speed = 18 km/hr

Distance 18 $$\frac {100} {960}$$ = 30km

12. A train 200 m long is moving at 68 km/h. The time in seconds, it will take to pass another train 150 m long which is moving at 50 km/h in the same direction from the moment they meet is

A. 40
B. 50
C. 60
D. 70

Explanation:

Total distance = length of 2 trains = 200 + 150 = 350 m

Relative speed = 68 – 50 = 18 km/hr = 5 m/s

i.e, Time taken to meet = $$\frac {Distance} {Speed}$$

= $$\frac {350} {5}$$ = 70 seconds

13. Speed of a boat in still water is 15 km/h. the speed of the stream is 3 km/h. The time taken to go 6 km upstream in minutes is

A. 20
B. 30
C. 24
D. 25

Explanation:

Relative speed of boat (upstream) = 15 – 3 = 12 km/hr

Distance = 6 km

i.e, Time (minutes) = $$\frac {6} {12}$$ * 60 = 30

14. A train 120 in long is moving at 40 km/h. The time in seconds, it will take to pass another train 100 m long which is moving at 32 km/h in the opposite direction horn the moment they meet is

A. 11
B. 22
C. 44
D. 88

Explanation:

Distance covered by train to pass = 120 + 100 = 220 m

Relative speed = 40 + 32 = 72 km/hr.

i.e, Time (seconds) = $$\frac {220 * 18} {72 * 5}$$ = 11

15. The speed of a car is 72 km/h. The time taken by it to cover a distance of 500 m in seconds is

A. 20
B. 25
C. 30
D. 40

Explanation:

Speed = (72 * $$\frac {5} {18}$$) m/s = 20 m/s

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