# Speed & Distance - Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Speed & Distance. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz. Q 1 - A train goes at 82.6km/hr. What number of meters will it go in 15 minutes?

A - 20.65 m

B - 206.5 m

C - 2065 m

D - 20650 m

### Explanation

```82.6 km/hr = (82.6*5/18)m/sec = 413/18 m/sec
Distance covered in 15 min = (413/18*15 *60) m =20650 m```

Q 2 - A man covers half of his adventure at 6km/hr and the staying half at 3 km/hr. His normal rate is:

A - 3 km/hr

B - 4km/hr

C - 4.5 km/hr

D - 9 km/hr

### Explanation

`Average speed = 2xy/(x+y) km/hr =  2*6*3/(6+3)km/hr = 4 km/hr`

Q 3 - If an understudy strolls from his home to class at 5km/hrs, he is late by 30 min. However, on the off chance that he strolls at 6 km/hr. he is late by 5 min. just. The separation of his school from his home is:

A - 2.5 km

B - 3.6 km

C - 5.5 km

D - 12.5 km

### Explanation

```Let the required distance be x km. then,
x/5 - x/6 = 25/7   (difference between two times is 25 min.)
⇒ 12x- 10 x = 25 ⇒2x = 25   ⇒ x= 25/2 km = 12.5 km```

Q 4 - Bombay express left Delhi for Bombay at 14.30 hours, going at a rate of 60 kmph and Rajdhani express left Delhi for Bombay around the same time at 16.30 hours, going at a pace of 80 kmph. How far from Delhi will the two trains meet?

A - 120 km

B - 360 km

C - 480 km

D - 500 km

### Explanation

```Let the train meet at a distance of x km from Delhi. Then,
x/60 - x/80 = 2 ⇒ 4x-3x = 480 ⇒x = 480
∴ required distance = 480 km```

Q 5 - A taken 2 hr. more than B to walk d km. If A twofold his rate then he can make it in 1 hours less than B. How much time does B require for strolling d km?

A - d/2 hrs

B - 3 hrs

C - 4 hrs

D - 2d/3 hrs

### Explanation

```Suppose B takes x hours to walk d km.
Then, A takes (x+2) hours to walk d km.
With double of the speed, A will take 1/2 (x+2) hours.
∴ x- 1/2 (x+2) = 1 ⇒2x- (x+2) = 2 ⇒ x = 4
Hence B takes 4 hours to walk d km.```

Q 6 - A constable is 114 m behind a thief. The constable runs 21 m and the thief15 m in a moment. In what the reality of the situation will become obvious eventually constable catch the criminal?

A - 16 min

B - 17 min

C - 18 min

D - 19 min

### Explanation

```(21-15) m i.e.6m is covered in 1 min.
114m will be covered in (1/6*114) min=19 min.```

Q 7 - A bullock truck needs to cover a separation of 80 km in 10 hours. On the off chance that it covers half of the excursion in 3/5 th of the time, what ought to be its velocity to cover the remaining separation in the time left?

A - 8 km/hr

B - 6.4 km/hr

C - 10 km/hr

D - 20 km/hr

### Explanation

```Distance left = (1/2 *80) km = 40 km
Time left = {(1-3/5)*10} hrs = (2/5*10)= 4hrs.
Speed required = 40/4 km/hr = 10 km/hr```

Q 8 - If a train keeps running at 40 km/hr, it achieves its destination late by 11 minutes. In any case, in the event that it keeps running at 50 km/hr, it is late by 5 minute just. The right time for the train to cover its trip, is:

A - 13 min

B - 15 min

C - 19 min

D - 21 min

### Explanation

```Let the required time be x minutes.
Distance covered in (x+11) min at 40 km/hr
Distance covered in (x+5) min at 50km/hr
∴(x+11)/60*(x+5)/60*50⇒4(x+11) =5(x+5) ⇒x= (44-25) =19.
Hence, the required time is 19 minutes.```

Q 9 - A auto covers four progressive 3 km extends at 10 km/hr, 20 km/hr, 30 km/hr and 60 km/hr separately. Its normal rate over this separation is:

A - 10 km/hr

B - 20 km/hr

C - 25 km/hr

D - 30 km/hr

### Explanation

```Total distance = (3*4) km = 12 kms
Total time taken = (3/10+3/20+3/30+ 3/60) = (36+18+12+6)/120 hrs.
= 72/120 hrs = 3/5 hrs.
Average speed = 12/ (3/5) km/hr = (12*5)/3 = 20 km/hr```

Q 10 - A agriculturist voyaged a separation of 61 km in 9 hours. He voyaged halfway by walking at 4 km/hr and incompletely on bike at 9 km/hr. The separation went by walking is:

A - 14 km

B - 15 km

C - 16 km

D - 17 km

### Explanation

```Let the distance travelled on foot be x km
Then, distance covered on bicycle = (61-x) km
∴x/4 + 61-x/9 =9 ⇒ 9x+4(61-x)= 324 ⇒ 5x = (324-244)=  80 ⇒x = 16
Distance covered on foot = 16 km```

aptitude_speed_distance.htm 