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- Question
- The ratio of the speeds of A and B is 3 : 4. A takes 20 min more than the time taken by B to reach a particular place. Find the time taken by A and B, respectively to reach that place.
Options- A. 40 min and 30 min
- B. 80 min 60 min
- C. 90 min and 45 min
- D. 90 min and 50 min
- Correct Answer
- 80 min 60 min
ExplanationRatio of speeds of A and B = 3 : 4
? Ratio of time taken = 4 : 3
Let time taken by A and B be 4k and 3k, respectively.
Then, according to the question,
4k - 3k = 20
? k = 20
Hence, time taken by A = 4 x 20 = 80 min
And time taken by B = 3 x 20 = 60 min - 1. A is twice as fast as B and B is thrice as fast as C. The journey covered by C in 56 min will be covered by A in?
Options- A. 51/3 min
- B. 21/3 min
- C. 71/3 min
- D. 91/3 min Discuss
- 2. A man covers half of his journey at 6 km/h and the remaining half at 3 km/h. Find his average speed.
Options- A. 3 km/h
- B. 4 km/h
- C. 4.5 km/h
- D. 9 km/h Discuss
- 3. A certain distance is covered at a certain speed. If half of this distance is covered in 4 times of the time, then find the ratio of the two speeds.?
Options- A. 1 : 8
- B. 1 : 4
- C. 4 :1
- D. 8 : 1 Discuss
- 4. A person sets out to cycle from A to B and at the same time another person starts from B to A. After passing each other, they complete their journeys in 16 h and 25 h, respectively. Find the ratio of speeds of the 1st man to that of the 2 nd man.
Options- A. 5 : 4
- B. 5 : 3
- C. 4 : 5
- D. 3 : 5 Discuss
- 5. A thief is spotted by a policeman from a distance of 200 m. When the policeman starts chasing, the thief also starts running. If the speed of the thief be 16 km/h and that of the policeman be 20 km/h, how far the thief will have run before he is overtaken?
Options- A. 800 m
- B. 850 m
- C. 700 m
- D. 650 m Discuss
- 6. The ratio between the speeds of two cares is 7 : 8. If the 2nd car runs 200 km in 5 h, then find the speed of the 1st car.?
Options- A. 25 km/h
- B. 28 km/h
- C. 40 km/h
- D. 35 km/h Discuss
- 7. The ratio between the speeds of two buses is 5 : 3. If the 1st bus runs 400 km in 8 h, then find the speed of the 2nd bus.?
Options- A. 30 km/h
- B. 15 km/h
- C. 27 km/h
- D. 37 km/h Discuss
- 8. The speeds of three cars are in the ratio of 2 : 3 : 5 find the ratio of the time taken by the above cars to travel the same distance.?
Options- A. 15 : 10 : 6
- B. 6 : 10 : 15
- C. 10 : 15 : 6
- D. 10 : 6 : 15 Discuss
- 9. Nilu covers a distance by walking for 6 h. While returning, his speed decreases by 2km/h and he takes 9 h to cover the same distance. What was her speed while returning?
Options- A. 2 km/h
- B. 5 km/h
- C. 4 km/h
- D. 7 km/h Discuss
- 10. A takes 4 h more than the time taken by B to walk D km. If A doubles his speed, he can make it in 2 h less than that of B. How much time does B require for walking D km?
Options- A. 8 h
- B. 4 h
- C. 6 h
- D. 9 h Discuss
Time and Distance problems
Search Results
Correct Answer: 91/3 min
Explanation:
Let time taken by A = Y
Let speed of C = x
Then, speed of B = 3x
? speed of A = 6x
Now, ratio of speeds of A and C = Ratio of time taken by C and A
6x : x = 56 : y
? 6x/x = 56/y
? y = 56/6 = 92/6
= 91/3 min
Correct Answer: 4 km/h
Explanation:
Given, A = 6 km/h, B = 3 km/ h
According to the formula, Average speed = 2AB/(A + B)
? Required average speed = 2 x 6 x 3/(6 + 3)
= 36/9 = 4 km/h
Correct Answer: 8 : 1
Explanation:
Let L km is covered in T h.
Then, first speed = L/T km/h
Again, L/2 km is covered in 4T h.
? New speed = (L/2 x 1/4T ) = (L/8T) km/ h
Ratio of speed = L/T : L/8T = 1 : 1/8 = 8 : 1
Correct Answer: 5 : 4
Explanation:
Given, x = 16 and Y = 25
According to the formula,
1st man's speed : 2nd man's speed = ? y : ? x = ? 25 : ? 16 = 5 : 4
Correct Answer: 800 m
Explanation:
Relative speed of policeman = ( 20 - 16 ) x 5/18 = 10/9 m/s
To catch the thief, the policeman in has to gain 200 m = 200 x 9/10 = 180 s
Actual distance covered by policeman in 180 s = 180 x 50/9 = 100 m
? Distance covered by the thief = 1000 - 200 = 800m
Correct Answer: 35 km/h
Explanation:
Let speed of the 1st car = 7k
and speed of the 2nd car = 8k
According to the question,
8k = 200/5 = 40 [ using, speed = Distance/ Time ]
? k = 40/8 = 5
? Speed of the 1st car = 7k
= 7 x 5 = 35 km/h
Correct Answer: 30 km/h
Explanation:
Let speed of 1st bus = 5k
and speed of 2nd bus = 3k
According to the question,
5k = 400/8 = 50
? k = 50/5 = 10
? Speed of 2nd bus = 3k = 3 x 10 = 30 km/h
Correct Answer: 15 : 10 : 6
Explanation:
We know that speed and time are inversely proportional.
? Ratio of time taken = 1/2 : 1/3 : 1/5
= 30/2 : 30/3 : 30/5 [ LCM of 2, 3, 5 = 30 ]
= 15 : 10 : 6
Correct Answer: 4 km/h
Explanation:
Let the speed in return journey = x
According to the question,
6( x + 2 ) = 9x
? 6x + 12 = 9x
? 9x - 6x = 12
? 3x = 12
? x = 12/3 = 4km/h
Correct Answer: 8 h
Explanation:
Let B takes x h to walk D km.
Then, A takes ( x + 4 ) h to walk D km.
With doube of the speed,
A will take ( x+ 4)/2 h.
According to the question,
x - (x + 4)/2 = 2
? 2x - (x + 4) = 4
? 2x - x - 4 = 4
? x = 4 + 4 = 8 h
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