Time & Distance Mcqs - Set 5

1)   A car travels 50% faster than a bike. Both start at the same time from A to B. The car reaches 25 minutes earlier than the bike. If the distance from A to B is 100 km, find the speed of the bike.

a. 120 km
b. 100 km
c. 80 km
d. 75 km
Answer  Explanation 

ANSWER: 80 km

Explanation:
Let the speed of the bike be x kmph. Then the speed of the car will be 3x/2 kmph. Time taken by the bike
t1 = 100/x Time taken by the bike
t2 = 100/(3x/2) t1 – t2 = 25/60 (100/x) – (100/(3x/2)) = 5/12 Solving the equation, x = 80 kmph


2)   Two trains 120 miles apart travel towards each other. The 1st train travels at 70 mph while the 2nd at 50 mph. A bird starts flying from the location of the faster train towards the other train at 85 mph and when it reaches the slower train it turns back and flies in the other direction at the same speed. When it reaches the faster train it again turns around and repeats the same procedure again and again. When the train collide, how far will the bird have flown?

a. 85 miles
b. 70 miles
c. 50 miles
d. 120 miles
Answer  Explanation 

ANSWER: 85 miles

Explanation:
No explanation is available for this question!


3)   A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man?

a. 47.5
b. 50
c. 45
d. 40
Answer  Explanation 

ANSWER: 40

Explanation:
No explanation is available for this question!


4)   A man rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately?

a. 11.2 kmph
b. 10 kmph
c. 10.2 kmph
d. 10.8 kmph
Answer  Explanation 

ANSWER: 10.8 kmph

Explanation:
No explanation is available for this question!


5)   A car traveling with 5/7 of its actual speed covers 42 km in 1 hr 40 min 48 sec. What is the actual speed of the car?

a. 30 km/hr
b. 35 km/hr
c. 25 km/hr
d. 40 km/hr
Answer  Explanation 

ANSWER: 35 km/hr

Explanation:
No explanation is available for this question!


6)   Atif and Bilal, 110 km apart, start cycling towards each other. If Atif covers a distance of 6 km to Bilal’s 5 km, how far will Atif have travelled when they meet?

a. 66 km
b. 55 km
c. 50 km
d. 60 km
Answer  Explanation 

ANSWER: 60 km

Explanation:
No explanation is available for this question!


7)   Danish his car at a speed of 120 kmph for the first 2 hours and then at a speed of 100 kmph for the next half an hour. Find the distance covered by him during the entire journey.

a. 300 km
b. 290 km
c. 250 km
d. 240 km
Answer  Explanation 

ANSWER: 290 km

Explanation:
Total distance = (120*2) + (100*(1/2)) = 290 km


8)   Barkat is travelling on his cycle and has calculated to reach point A at 2 P.M. if he travels at 10 kmph; he will reach there at 12 noon if he travels at 15 kmph. At what speed must he travel to reach A at 1 P.M. ?

a. 8 kmph
b. 11 kmph
c. 12 kmph
d. 14 kmph
Answer  Explanation 

ANSWER: 12 kmph

Explanation:
No explanation is available for this question!


9)   A train when moves at an average speed of 40 kmph, reaches its destination on time. When its average speed becomes 35 kmph, then it reaches its destination 15 minutes late. Find the length of journey.

a. 30 km
b. 40 km
c. 70 km
d. 80 km
Answer  Explanation 

ANSWER: 70 km

Explanation:
No explanation is available for this question!


10)   A boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr. If he takes 5 hours in going and coming, the distance between his house and school is :___________?

a. 5 km
b. 5.5 km
c. 6 km
d. 6.5 km
Answer  Explanation 

ANSWER: 6 km

Explanation:
Average speed = ( 2 X 3 X 2/3 + 2 ) km/ hr = 12/5 km/ hr. Distance travelled = ( 12/5 X 5 )km = 12 km. So Distance between house and school = ( 12/2 )km = 6 km.


11)   An express train travelled at an average speed of 100 km / hr, stopping for 3 minutes after every 75 km. How long did it take to reach its destination 600 km from the starting point ?

a. 6 hrs 21 min
b. 6 hrs 24 min
c. 6 hrs 27 min
d. 6 hrs 30 min
Answer  Explanation 

ANSWER: 6 hrs 21 min

Explanation:
Time taken to cover 600 km = ( 600/100 ) hrs = 6 hrs. Number of stoppages = ( 600/75 – 1 ) = 7 Total time of stoppage = (3 x 7) min = 21 min. Hence, total time taken = 6 hrs 21 min.


12)   A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at :___________?

a. 7.42 a.m.
b. 7.48 a.m.
c. 8.10 a.m.
d. 8.30 a.m.
Answer  Explanation 

ANSWER: 7.42 a.m.

Explanation:
No explanation is available for this question!


13)   A can complete a journey in 10 hours. He travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr. Find the total journey in km.

a. 220 km
b. 224 km
c. 230 km
d. 234 km
Answer  Explanation 

ANSWER: 224 km

Explanation:
No explanation is available for this question!


14)   A car is running at a speed of 108 kmph. What distance will it cover in 15 seconds ?

a. 45 metres
b. 55 metres
c. 450 metres
d. Cannot be determined
Answer  Explanation 

ANSWER: 450 metres

Explanation:
No explanation is available for this question!


15)   A train covers a distance of 10 km in 12 minutes. If its speed is decreased by 5 km /hr, the time taken by it to cover the same distance will be :__________?

a. 10 min
b. 11 min 20 sec
c. 13 min
d. 13 min 20 sec
Answer  Explanation 

ANSWER: 13 min 20 sec

Explanation:
Speed = (10 X 60/12 ) km/hr = 50 km/hr. New speed = (50 – 5) km / hr = 45 km /hr. So Time taken = ( 10/45 ) hr = ( 2/9X 60 )min 131/3 min = 13 min 20 sec.


16)   Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60km/h and the other is moving at 40km/h mph. In how many hours will they meet?

a. 2.5
b. 2.0
c. 1.75
d. 1.5
e. 1.25
Answer  Explanation 

ANSWER: 1.5

Explanation:
One moves at 60km/h, so in an hour, he’ll travel 60km
The other moves at 40km/h, so in an hour, he’ll travel 40km
This is towards each other, so, in an hour, we can say that they’ll get 60+40=100km closer.

This means that they get closer at 100km/h

Given that we have the distance of 150km, and the speed of closure at 100kmh, we can now use the equation

S=D/T

Rearrange to find T (times both sides by T)

S x T = D (now divide both sides by S)

T=D/S

Time = 150km divided by 100km/h

Time = 1.5 hours

Or one hour and 30 minutes