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- Question
Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds?
Options- A. 1:7
- B. 7:1
- C. 2:3
- D. 3:2
- Correct Answer
- 1:7
ExplanationLet the speed of the trains be x and y respectively
length of train1 = 47x
length of train2 = 31y
Relative speed= x + y
Time taken to cross each other = 33 s
=> = 33
=> (47x + 31 y) = 33(x + y)
=> 14x = 2y
=> x/y = 2/14 = 1/7= 1:7
- 1. A train of length 250 m crosses a bridge of length 150m in 20 seconds. What is the speed of the train?
Options- A. 92 km/h
- B. 80 km/h
- C. 72 km/h
- D. 70 km/h Discuss
- 2. If Hema walks at 12 km/hr instead of 8 km/hr, she would have walked 20 km more. The actual distance travelled by Hema is ?
Options- A. 40 kms
- B. 30 kms
- C. 46 kms
- D. 32 kms Discuss
- 3. Robert is traveling on his cycle and has calculated to reach point A at 2 p.m. if he travels at 10 km/hr; he will reach there at 12 noon if he travels at 15 km/hr. At what speed must he travel to reach A at 1 p.m. ?
Options- A. 20 kmph
- B. 18 kmph
- C. 12 kmph
- D. 16 kmph Discuss
- 4. An express traveled at an average speed of 100 km/hr, stopping for 4 min after every 75 km. How long did it take to reach its destination 600 km from the starting point ?
Options- A. 6 hrs 24 min
- B. 6 hrs
- C. 7 hrs 21 min
- D. 6 hrs 28 min Discuss
- 5. Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ?
Options- A. 36 kmph
- B. 35 kmph
- C. 72 kmph
- D. 70 kmph Discuss
- 6. A jeep travels a certain distance taking 6 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 4 hrs. What is the distance travelled by the jeep is ?
Options- A. 244 km
- B. 144 km
- C. 444 km
- D. 344 km Discuss
- 7. 'K' cycled from A to B at 10 kmph and returned at the rate of 9 kmph. 'L' cycled both ways at 12 kmph. In the whole journey 'L' took 10 minutes less than 'K'. Find the distance between A and B ?
Options- A. 32.1 km
- B. 15.23 km
- C. 3.75 km
- D. 32.1 m Discuss
- 8. Laxmi and Prasanna set on a journey. Laxmi moves northwards at a speed of 20kmph and Prasanna moves southward at a speed of 30 kmph. How far will be Prasanna from Laxmi after 60 minutes ?
Options- A. 24 km
- B. 50 km
- C. 42 km
- D. 30 km Discuss
- 9. A train-A passes a stationary train B and a pole in 24 sec and 9 sec respectively. If the speed of train A is 48 kmph, what is the length of train B?
Options- A. 200 mts
- B. 180 mts
- C. 160 mts
- D. 145 mts Discuss
- 10. Two cyclists P and Q cycle at 20 km/hr and 25 km/hr towards each other. What was the distance (in kms) between them when they started if they met after 56 minutes?
Options- A. 36
- B. 39
- C. 42
- D. 45 Discuss
Time and Distance problems
Search Results
Correct Answer: 72 km/h
Explanation:
Length of the train= 250m Length of the bridge= 150m Time taken= 20s Speed = Distance/ Time = 400/20= 20 m/s =72 km/h
Correct Answer: 40 kms
Explanation:
Let the actual distance travelled be x km.
Then x/8=(x+20)/12
=> 12x = 8x + 160
=> 4x = 160
=> x = 40 km.
Correct Answer: 12 kmph
Explanation:
Let the distance traveled be x km.
Then, x/10 - x/15 = 2
3x - 2x = 60 => x = 60 km.
Time taken to travel 60 km at 10 km/hr = 60/10 = 6 hrs.
So, Robert started 6 hours before 2. p.m. i.e., at 8 a.m.
Required speed = 60/5 = 12 kmph.
Correct Answer: 6 hrs 28 min
Explanation:
Time taken to cover 600 km = 600/100 = 6 hrs.
Number of stoppages = 600/75 - 1 = 7
Total time of stoppages = 4 x 7 = 28 min
Hence, total time taken = 6 hrs 28 min.
Correct Answer: 70 kmph
Explanation:
By car 240 km at 60 kmph
Time taken = 240/60 = 4 hr.
By train 240 km at 60 kmph
Time taken = 400/100 = 4 hr.
By bus 240 km at 60 kmph
Time taken = 200/50 = 4 hr.
So total time = 4 + 4 + 4 = 12 hr.
and total speed = 240+400+200 = 840 km
Average speed of the whole journey = 840/12 = 70 kmph.
Correct Answer: 144 km
Explanation:
Given a jeep travels a certain distance taking 6 hrs in forward journey
During the return journey, it takes 4 hrs with an increased speed 12 km/hr
Let 'x' be the distance.
Now, speed is given by distance/time.
Here the difference between both speeds = 12
=> x = 144 km
Therefore, the distance travelled by the jeep in forward or return journey is x = 144 km.
Correct Answer: 3.75 km
Explanation:
Let 'd' be the distance between A and B
K -time = d/10 + d/9 = 19d/90 hours
L -time = 2d/12 = d/6 hours
We know that, 10 min = 1/6 hours
Thus, time difference between K and L is given as 10 minutes.
=> 19d/90 - d/6 = 1/6
=> (19d-15d)/90 = 1/6
=> 4d/90 = 1/6
Thus,
d= 15/4 km = 3.75 km.
hence the distance between A and B is 3.75 km.
Correct Answer: 50 km
Explanation:
We know 60 min = 1 hr
Total northward Laxmi's distance = 20kmph x 1hr = 20 km
Total southward Prasanna's distance = 30kmph x 1hr = 30 km
Total distance between Prasanna and Laxmi is = 20 + 30 = 50 km.
Correct Answer: 200 mts
Explanation:
Length of train A = 48 x 9 x 5/18 = 120 mts
Length of train B = 48 x 24 x 5/18 - 120
=> 320 - 120 = 200 mts.
Correct Answer: 42
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