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# 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?

### Answer : D

### 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:

### Answer : B

### 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:

### Answer : D

### 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?

### Answer : C

### 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?

### Answer : C

### 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?

### Answer : D

### 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?

### Answer : C

### 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:

### Answer : C

### 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:

### Answer : B

### 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:

### Answer : C

### 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