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- Question
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
- Correct Answer
- 80 kmph
ExplanationLet 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.
- 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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 Discuss
- 6. In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by ?
Options- A. 25 m
- B. 21 m
- C. 22 m
- D. 19 m Discuss
- 7. Two men A and B start from place X walking at 4 ½ kmph and 5 ¾ kmph respectively. How many km apart they are at the end of 3 ½ hours if they are walking in the same direction ?
Options- A. 2 9/7 km
- B. 3 7/5 km
- C. 1 3/4 km
- D. 4 3/8 km Discuss
- 8. Ramu rides his bike at an average speed of 45 km/hr and reaches his desitination in four hours. Somu covers the same distance in six hours. If Ramu covered his journey at an average speed which was 9 km/hr less and Somu covered his journey at an average speed which was 10 km/hr more, then the difference in their times taken to reach the destination would be (in minutes).
Options- A. 18 min
- B. 30 min
- C. 27 min
- D. 32 min Discuss
- 9. A man walks at a speed of 2 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 20 1/2 km, if he completes half of the distance, i.e., (10 1/4) km on foot and the other half by running ?
Options- A. 12.4 hrs
- B. 11.9 hrs
- C. 10.7 hrs
- D. 9.9 hrs Discuss
- 10. Two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ?
Options- A. 1102 km
- B. 1060 km
- C. 960 km
- D. 1250 km Discuss
Time and Distance problems
Search Results
Correct Answer: 2 hrs
Explanation:
|-----------20--------------------|
50 40
Difference = 20kms
Relative Speed = 50 ? 40 = 10 kmph
Time = 20/10 = 2 hours.
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: 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: 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: 24 kmph
Explanation:
Let 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.
Correct Answer: 25 m
Explanation:
A:B = 200 : 169
A:C = 200 : 182
=> 182:169
When C covers 182 m , B Covers 169 m
When C covers 350 m , B Covers
=> 325 m
So C beats B by (350 - 325) = 25 m.
Correct Answer: 4 3/8 km
Explanation:
Relative Speed = 5 ¾ - 4 ½ = 1 ¼
Time = 3 ½ h.
Distance = 5/4 x 7/2 = 35/8 = 4 3/8 km.
Correct Answer: 30 min
Explanation:
Distance travelled by Ramu = 45 x 4 = 180 km
Somu travelled the same distance in 6 hours.
His speed = 180/6 = 30 km/hr
Hence in the conditional case, Ramu's speed = 45 - 9 = 36 km/hr and Somu's speed = 30 + 10 = 40km/hr.
Therefore travel time of Ramu and Somu would be 5 hours and 4.5 hours respectively.
Hence difference in the time taken = 0.5 hours = 30 minutes.
Correct Answer: 11.9 hrs
Explanation:
We know that
Time = Distance/speed
Required time = (10 1/4)/2 + (10 1/4)/6
= 41/8 + 41/6
= 287/24 = 11.9 hours.
Correct Answer: 960 km
Explanation:
60(x + 1) = 64x
X = 15
60 x 16 = 960 km
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