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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 - The velocities of A and B are in the proportion 3:4. A takes 20 min. more than B to achieve a destination. In what time does A achieve the destination?

Answer : A

Explanation

Let the time taken by A be x hrs.
Then, time taken by B = (x-20/60) hrs = (x-1/3) hrs
Ratio of speeds = inverse ratio of time taken
∴3:4 =(x- 1/3): x ⇒3x-1/3x = 3/4
⇒12x- 4 = 9x
⇒3x= 4 ⇒x= 4/3 hrs
Required time = 4/3 hrs.

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 - A and B begin all the while from a sure point in North and South bearings on engine cycles. The velocity of A is 80 km/hr and that Of B is 65 km/hr. What is the separation in the middle of A and B following 12 minutes?

Answer : B

Explanation

Required distance = sum of distance covered by A and B
= {(80*12/60) + (65*12/60)} = (16+13) = 29 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 thief takes an auto at 1.30 pm and drives it at 45 km/hr. the burglary is found at 2 p.m and the proprietor sets off in another auto at 50 km/hr. HE will surpass the criminal at:

Answer : B

Explanation

Distance covered by thief in 1/2 hour =20 km.
Clearly, 20 km is compensated by the owner at a relative speed of 10km/hr in 2 hours.
So, he overtakes the thief at 4p.m.

Q 7 - Renu began cycling along the limits of a square field ABCD from corner point A. after thirty minutes, he came to the corner point C, slantingly inverse to A. In the event that his rate was 8 km/hr, the zone of the field is:

A - 64 sq. km

B - 8 sq. km

C - 4 sq. km

D - cannot be resolved

Answer : B

Explanation

Length of diagonal = (8*1/2 )km = 4 km
Area of the field = (1/2 *4*4) sq. km = 8 sq. km

Q 8 - Two trains begin in the meantime from Aligarh and Delhi and continue towards One another at 16 km/hr and 21 km/hr individually. When they meet, it is found that one train has voyage 60 km more than the other. The separation between the two stations is:

Answer : B

Explanation

Suppose they meet after x hours. Then , 21x-16 x= 60 ⇒5x =60
⇒   x= 12
Required distance = (16*12+ 21*12) km = 444 km

Q 9 - Excluding stoppages, the velocity of a transport is 54 km/hr and including stoppages, it is 45 km/hr. For how long does the transport stop every hour?

Answer : B

Explanation

Due to stoppage, it covers 9 km less per hour.
Time taken to cover 9 km = (9/54*60) min. = 10 min.

Q 10 - A train without stoppages goes at the rate of 50 km/hr and with stoppages it goes at 45 km/hr. How long does the train stop on a normal for every hour?

Answer : B

Explanation

Due to stoppage it covers 5 km less per hour.
Time taken to cover 5 km= (5/50*60) min. = 6 min.
Hence, the train stops on an average 6 min/hr.

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