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- Question
A 200 m long train passes a motorcycler, running in the same direction at 12 km/hr, in 15 second and a jeep travelling in the same direction in 20 s. At what speed is the car travelling (length of both the motorcycler and jeep is negligible)?
Options- A. 36 kmph
- B. 32 kmph
- C. 29 kmph
- D. 24 kmph
- Correct Answer
- 24 kmph
ExplanationLet the speed of the train be 'S' kmph
From the given data,
Distance = Length of train = D = 200 mts = 200 x 18/5 kms
Time = 10 sec
given speed of the motorcycler = 12 kmph
Relative speed as they are moving in the same direction = (S - 12) kmph
Hence, the speed of the train = S = 60 kmph
Now,
Let the speed of the jeep be 'x' kmph
Therefore, the speed of the jeep = x = 24 kmph.
- 1. Karthik could cover a distance of 200 km in 22 days while resting for 2 hrs. per day. In how many days (approx) he will cover a distance of 250 km while resting for 2 hrs. per day and moving with 2/3rd of the previous speed ?
Options- A. 41.25 days
- B. 37.5 days
- C. 39.75 days
- D. 40 days Discuss
- 2. P is faster than Q. P and Q each walk 24 km. The sum of their speeds is 7 km/hr and the sum of times taken by them is 14 hours. Then, P's speed is equal to ?
Options- A. 3 km/hr
- B. 4 km/hr
- C. 5 km/hr
- D. 6 km/hr Discuss
- 3. 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
- 4. 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
- 5. 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
- 6. Kamal consistently runs 240 meters a day and on Saturday he runs for 400 meters. How many kilometers will he have to run in four weeks ?
Options- A. 5.75 kms
- B. 7.36 kms
- C. 8.2 kms
- D. 6.98 kms Discuss
- 7. A train covers 180 km distance in 5 hours. Another train covers the same distance in 1 hour less. What is the difference in the distances covered by these trains in one hour if they are moving in the same direction?
Options- A. 15 kms
- B. 9 kms
- C. 6 kms
- D. 18 kms Discuss
- 8. A goods truck travels from a place at a certain time and at fixed speed. After 6hrs another truck leaves the same place and move in same direction of uniform speed of 90kmph. The truck catches up the goods truck in 4hrs. Find the speed of the goods truck ?
Options- A. 36 kmph
- B. 32 kmph
- C. 28 kmph
- D. 34 kmph Discuss
- 9. A thief goes away with a MARUTHI car at a speed of 40 kmph. The theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ?
Options- A. 2 hrs 10 min
- B. 2 hrs
- C. 2 hrs 5 min
- D. 2 hrs 30 min Discuss
- 10. Two cars, a Maruthi and a Toyato, start at the same time in opposite directions from two distinct points A and B. Starting from A, the Maruthi reaches B in 6 hrs 20 minutes and the Toyato starting from B, reaches A in 4 hrs 45 minutes. What is the speed of the Toyato, if the speed of the Maruthi is 60 Km/h?
Options- A. 75 kmph
- B. 80 kmph
- C. 86 kmph
- D. 90 kmph Discuss
Time and Distance problems
Search Results
Correct Answer: 41.25 days
Explanation:
Given Karthik can cover the distance of 200 kms resting 2 hrs per day in 22 days.
Let the initial speed be '1'
Hence, Time = 22(24hrs - 2)
Noe new speed = 2/3
Let the number of days he take be 'D'
Therefore,
D = 11 x 3 x 5/4 = 41.25 days. = 41 1/4 days.
Correct Answer: 4 km/hr
Explanation:
Let P's speed = x km/hr. Then, Q's speed = (7 - x) km/ hr.
So, 24/x + 24/(7 - x) = 14
- 98x + 168 = 0
(x - 3)(x - 4) = 0 => x = 3 or 4.
Since, P is faster than Q,
so P's speed = 4 km/hr and Q's speed = 3 km/hr.
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.
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: 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: 7.36 kms
Explanation:
Total running distance in four weeks = (24 x 240) + (4 x 400)
= 5760 + 1600
= 7360 meters
= 7360/1000
=> 7.36 kms
Correct Answer: 9 kms
Explanation:
The first train covers 180 kms in 5 hrs
=> Speed = 180/5 = 36 kmph
Now the second train covers the same distance in 1 hour less than the first train => 4 hrs
=> Speed of the second train = 180/4 = 45 kmph
Now, required difference in distance in 1 hour = 45 - 36 = 9 kms.
Correct Answer: 36 kmph
Explanation:
Let the speed of goods truck be 'p' kmph
Distance covered by goods truck in 10hrs (4+6) = Distance covered by other truck in 4 hrs.
10p = 4 x 90
p = 36kmph.
Therefore, the speed of the goods truck is p = 36 kmph.
Correct Answer: 2 hrs
Explanation:
|-----------20--------------------|
50 40
Difference = 20kms
Relative Speed = 50 ? 40 = 10 kmph
Time = 20/10 = 2 hours.
Correct Answer: 80 kmph
Explanation:
Let the distance between A and B = D
Given the speed of maruthi = 60 kmph
Maruthi reaches from A to B in 6 hrs 20 min = 6 + 20/60 = 6 1/3 hrs
Now, the distance between A & B = D = speed x time = 60 x 19/3 = 380 kms
As the distance is same for toyato also,
given time for toyato = 4 hrs 45 min = 4 + 45/60 = 4 3/4 = 19/4 hrs
speed of toyato = distance/time = 380/19/4 = 380 x 4/19 = 80 kmph.
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