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- Question
A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is
Options- A. 30
- B. 36
- C. 40
- D. 42
- Correct Answer
- 40
ExplanationLet distance = x km and usual rate = y kmph.
Then, x/y - x/(y+3) = 40/60 --> 2y (y+3) = 9x ----- (i)
Also, x/(y-2) - x/y = 40/60 --> y(y-2) = 3x -------- (ii)
On dividing (i) by (ii), we get:x = 40 km.
- 1. Mr. Karthik drives to work at an average speed of 48 km/hr. Time taken to cover the first 60% of the distance is 20 minutes more than the time taken to cover the remaining distance. Then how far is his office ?
Options- A. 40 km
- B. 50 km
- C. 70 km
- D. 80 km Discuss
- 2. K and L starts walking towards each other at 4 pm at speed of 3 km/hr and 4 km/hr respectively. They were initially 17.5 km apart. At what time do they meet ?
Options- A. 6:00 am
- B. 6:30 pm
- C. 5:45 am
- D. 5:52 pm Discuss
- 3. In what time a 360 m. long train moving at the speed of 44 km/hr will cross a 140 m. long bridge ?
Options- A. 36 sec
- B. 39 sec
- C. 41 sec
- D. 43 sec Discuss
- 4. A bus covers its journey at the speed of 80km/hr in 10hours. If the same distance is to be covered in 4 hours, by how much the speed of bus will have to increase ?
Options- A. 85 km/hr
- B. 95 km/hr
- C. 105 km/hr
- D. 120 km/hr Discuss
- 5. A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey ?
Options- A. 5 kmph
- B. 7 kmph
- C. 3 kmph
- D. 4 kmph Discuss
- 6. Buses start from a bus terminal with a speed of 20 km/hr at intervals of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at intervals of 8 minutes?
Options- A. 5 kmph
- B. 6 kmph
- C. 7.5 kmph
- D. 8 kmph Discuss
- 7. The ratio of the speeds of a car, a jeeps and a tractor is 3 : 5 : 2. The speed of the jeep is 250 per cent of the speed of the tractor and tractor covers 360 km in 12 hours. What is the average speed of car and jeep together?
Options- A. 50 kmph
- B. 60 kmph
- C. 70 kmph
- D. 80 kmph Discuss
- 8. A man travels 480 km in 4 hours, partly by air and partly by train. If he had travelled all the way by air, he would have saved 4/5 of the time he would have taken to travel by train and would have arrived at his destination 2 hours early. Find the distance he covered by travelling by train.
Options- A. 80 km
- B. 120 km
- C. 110 km
- D. 90 km Discuss
- 9. A person goes to his office at 1/3rd of the speed at which he returns from his office. If the average speed during the whole trip is 12 m /h . what is the speed of the person while he was going to his office?
Options- A. 10
- B. 6
- C. 8
- D. can't be determined Discuss
- 10. Den Bosch and Eastbourne are two famous cities 300 km apart. Maradona starts from Den Bosch at 8:24 am . An hour later pele starts from Den Bosch. After travelling for 1 hour , Pele reaches Nottingham that Maradona had passed 40 minutes earlier. Nottingham falls on the way from Den Bosch to Eastbourne. If pele and Maradona just reaches Eastbourne at the same time, what are thespeeds of the Maradona and Pele Respectively?
Options- A. 100 km/h , 125 km/h
- B. 60 km/h , 80 km/h
- C. 60 km/h , 75 km/h
- D. 75 km/h , 100 km/h Discuss
Time and Distance problems
Search Results
Correct Answer: 80 km
Explanation:
Let the total distance be 'x' km.
Time taken to cover remaining 40% of x distance is
But given time taken to cover first 60% of x distance is
x=80 km.
Correct Answer: 6:30 pm
Explanation:
Suppose they meet after 'h' hours
Then
3h + 4h = 17.5
7h = 17.5
h = 2.5 hours
So they meet at => 4 + 2.5 = 6:30 pm
Correct Answer: 41 sec
Explanation:
Speed = 44 kmph x 5/18 = 110/9 m/s
We know that, Time = distance/speed
Time = (360 + 140) / (110/9)
= 500 x 9/110 = 41 sec.
Correct Answer: 120 km/hr
Explanation:
Initial speed = 80km/hr
Total distance = 80 x 10 = 800km
New speed = 800/4 =200km/hr
Increase in speed = 200 - 80 = 120km/hr
Correct Answer: 4 kmph
Explanation:
Speed of Man = 4.5 kmph
Speed of stream = 1.5 kmph
Speed in DownStream = 6 kmph
Speed in UpStream = 3 kmph
Average Speed = (2 x 6 x 3)/9 = 4 kmph.
Correct Answer: 5 kmph
Explanation:
Let p be the speed of man in kmph
According to the given data in the question,
Distance travelled by bus in 10 min with 20 kmph == Distance travelled by man in 8 min with (20 + p) kmph in opposite direction
=> 20 x 10/60 = 8/60 (20 + p)
=> 200 = 160 + 8p
=> p = 40/8 = 5 kmph.
Correct Answer: 60 kmph
Explanation:
Speed of tractor = 360/12 = 30 kmph
Speed of jeep = 250 x 30/100 = 75 kmph
But, given ratio of speed of car, jeep and tractor is 3 : 5 : 2
Speed of car = 3 x 75/5 = 45 kmph
Required, average speed of car and jeep = 75 + 45/2 = 60 kmph.
Correct Answer: 120 km
Correct Answer: 8
Explanation:
u = k , v= 3k
=> k = 8km/h
Correct Answer: 75 km/h , 100 km/h
Explanation:
Let Pele x km in 1 hour. so Maradona takes (2h-40min)=1 h 20 min to cover x km. Let speed of Maradona and Pele be M and P respectively than
x =M x (4/3) and x= P x 1
=> M/P = 3/4
Again
=> k= 25
M= 3k = 75 km/h and P= 4k = 100 km/h
( Through options it is very easy to solve)
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