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- Question
Two trains are running with speeds 30 kmph and 58 kmph respectively in the same direction. A man in the slower train passes the faster train in 18 seconds. Find the length of the faster train?
Options- A. 105 mts
- B. 115 mts
- C. 120 mts
- D. 140 mts
- Correct Answer
- 140 mts
ExplanationSpeeds of two trains = 30 kmph and 58 kmph
=> Relative speed = 58 - 30 = 28 kmph = 28 x 5/18 m/s = 70/9 m/s
Given a man takes time to cross length of faster train = 18 sec
Now, required Length of faster train = speed x time = 70/9 x 18 = 140 mts.
- 1. Joel travels the first 3 hours of his journey at 60 mph speed and the remaining 5 hours at 24 mph speed. What is the average speed of Joel's travel in kmph ?
Options- A. 38 kmph
- B. 40 kmph
- C. 60 kmph
- D. 54 kmph Discuss
- 2. A person travels from K to L a speed of 50 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips ?
Options- A. 55 kmph
- B. 58 kmph
- C. 60 kmph
- D. 66 kmph Discuss
- 3. How many seconds will a 800 meter long train moving with a speed of 63 km/hr take to cross a man walking with a speed of 3 km/hr in the direction of the train ?
Options- A. 48
- B. 52
- C. 38
- D. 42 Discuss
- 4. Excluding stoppages, the average speed of a bus is 60 km/hr and including stoppages, the average speed of the bus is 40 km/hr. For how many minutes does the bus stop per hour ?
Options- A. 2 hrs
- B. 20 min
- C. 40 min
- D. 30 min Discuss
- 5. Ali and Faizer are 27m apart. They both start walking and meet 9 hrs later, if they travel in the same direction and meet after 3 hrs if they walk in opposite dirction, Ali?s speed must most likely be ?
Options- A. 9 m/h
- B. 3 m/h
- C. 6 m/h
- D. 12 m/h Discuss
- 6. Sabrina travelled 8 km/hr on foot and 13 km/hr on cycle. She travelled a distance of 84 km in 8 hours. Forhow many hours did she cycle?
Options- A. 4
- B. 5
- C. 3
- D. 2 Discuss
- 7. Two cars start from a house at an interval of 10 min and travel at a speed of 20 kmph. With how much speed should a woman coming from the opposite direction towards the house travel, to meet the cars at an interval of 8 min?
Options- A. 5
- B. 6
- C. 7
- D. 4 Discuss
- 8. Two cars travel from city A to city B at a speed of 36 and 54 km/hr respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is
Options- A. 454 km
- B. 567 km
- C. 302 km
- D. 378 km Discuss
- 9. Ruchir walks at 20 km/hr and Rukma cycles at 25 km/hr towards each other. What was the distance between them when they started if they meet after 48 minutes?
Options- A. 54 km
- B. 48 km
- C. 36 km
- D. 30 km Discuss
- 10. A man starts running from point P at 11:00 a.m. with a speed of 10 km/hr. He runs for 2 hours and then takes a 1 hour rest. He continues this till he is caught by another man who starts at 2:00 p.m. from point P and runs non-stop at a speed of 15 km/hr towards the first man. At what time (in p.m.) will the first man be caught?
Options- A. 6:20
- B. 4:40
- C. 6:00
- D. 5:30 Discuss
Time and Distance problems
Search Results
Correct Answer: 60 kmph
Explanation:
Average speed = Total distance / Total time.
Total distance traveled by Joel = Distance covered in the first 3 hours + Distance covered in the next 5 hours.
Distance covered in the first 3 hours = 3 x 60 = 180 miles
Distance covered in the next 5 hours = 5 x 24 = 120 miles
Therefore, total distance traveled = 180 + 120 = 300 miles.
Total time taken = 3 + 5 = 8 hours.
Average speed = 300/8 = 37.5 mph.
we know that 1 mile = 1.6 kms
=> 37.5 miles = 37.5 x 1.6 = 60 kms
Average speed in Kmph = 60 kmph.
Correct Answer: 60 kmph
Explanation:
Speed on return trip = 150% of 50 = 75 km/hr.
Average speed = (2 x 50 x 75)/(50 + 75) = 60 km/hr.
Correct Answer: 48
Explanation:
Here distance d = 800 mts
speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s
time t = = 48 sec.
Correct Answer: 20 min
Explanation:
In 1hr, the bus covers 60 km without stoppages and 40 km with stoppages.
Stoppage time = time take to travel (60 - 40) km i.e 20 km at 60 km/hr.
stoppage time = 20/60 hrs = 20 min.
Correct Answer: 6 m/h
Explanation:
let, speed of Ali=X mph and Faizer=Y mph
Now, relative speed when Ali is walking int the same direction with Faizer= (X-Y)mph
hence, according to question, 27/(X-Y)=9 ; solving X-Y=3; --- (1)
Now relative speed when walking in the opposite direction= (X+Y) mph
hence, according to question, 27/(X+y)=3; solving X+Y=9; --- (2)
solving 1 and 2 we get X=6 and Y=3, where X is the speed of Ali.
Correct Answer: 4
Correct Answer: 5
Correct Answer: 378 km
Correct Answer: 36 km
Correct Answer: 4:40
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