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- Question
In a daily morning walk three persons step off together. their steps measure 75 cm, 80 cm and 85 cm respectively. What is the minimum distance each should walk so that thay can cover the distance in complete steps ?
Options- A. 222 m 44 cm
- B. 204 m
- C. 201 m 21 cm
- D. 208 m
- Correct Answer
- 204 m
ExplanationTo find the minimum distance, we have to get the LCM of 75, 80, 85
Now, LCM of 75, 80, 85 = 5 x 15 x 16 x 17 = 20400
Hence, the minimum distance each should walk so that thay can cover the distance in complete steps = 20400 cms = 20400/100 = 204 mts.
- 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. A man walks 6 km at a speed of 112 kmph, runs 8 km at a speed of 2 kmph and goes by bus another 32 km. Speed of the bus is 8 kmph. Find the average speed of the man in kmph. A) 4314 B) 4213 C) 2413 D) 3414
Options- A. Option A
- B. Option B
- C. Option C
- D. Option D Discuss
- 7. A bike runs at the speed of 35 km/h when not serviced and runs at 55 km/h, when serviced. After servicing the bike covers a certain distance in 5 h. How much approximate time will the bike take to cover the same distance when not serviced?
Options- A. 8 hrs
- B. 7.5 hrs
- C. 7 hrs
- D. 6.5 hrs Discuss
- 8. The respective ratio between the speed of a bike, a van and lorry is 3 : 5 : 2. The speed of the van is 250 percent of the speed of the lorry which covers 360 km in 12 hours. What is the average speed of the bike and the van together?
Options- A. 60 kmph
- B. 62 kmph
- C. 64 kmph
- D. 63 kmph Discuss
- 9. Two trains 85 m and 75 m long are running in same direction with speeds of 62 km/hr and 44 km/hr respectively. In what time will the first train cross the second train ?
Options- A. 22 sec
- B. 32 sec
- C. 42 sec
- D. 52 sec Discuss
- 10. Two trains start from same place at same time at right angles to each other. Their speeds are 36km/hr and 48km/hr respectively. After 30 seconds the distance between them will be ?
Options- A. 900 mts
- B. 300 mts
- C. 250 mts
- D. 500 mts Discuss
Time and Distance problems
Search Results
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)
Correct Answer: 8
Explanation:
u = k , v= 3k
=> k = 8km/h
Correct Answer: 120 km
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: 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: Option B
Explanation:
Man walked 6 km at 1.5 kmph, again he walked 8 km at speed of 2 kmph and 40 km at a speed of 8kmph
time taken indivisually:
=> 6/1.5 = 4 m
=> 8/2 = 4 m
=> 40/8 = 5 m
Average speed of man= total distance/ total time
=> 54/13 =
kmph
Correct Answer: 8 hrs
Explanation:
Given speed of the bike after servicing = 55 kmph
Time taken for travelling some distance at 55 kmph = 5 hrs
Then,
Distance = Speed x Time = 55 x 5 = 275 kms.
Now,
Speed of the bike before servicing = 35 kmph
Distance = 275 kms
Now, Time = Distance/Speed = 275/35 = 7.85 hrs =~ 8 hrs.
Correct Answer: 60 kmph
Explanation:
Speed of lorry = = 30 kmph
Speed of van = = 75 kmph
Speed of bike = = 45 kmph
Therefore, now required average speed of bike and van = = 60 kmph.
Correct Answer: 32 sec
Explanation:
Given that,
1st train speed = 62 km/hr
2nd train speed = 44 km/hr
Hence the relative speed of two trains is : 62-44 = 18 km/hr = m/s = 5 m/s.
There fore, the first train crosses the second train i.e (85+75)mts of distance with a speed of 5m/s in,
time = = 32 sec.
Correct Answer: 500 mts
Explanation:
Using pythagarous theorem,
distance travelled by first train = 36x5/18x30 = 300m
distance travelled by second train = 48x5/18x30 = 400m
so distance between them =?( 90000 + 160000) = ?250000 = 500mts.
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