Time and Distance problems
- 1. Suresh started cycling along the boundaries of a square field from corner point A. After half an hour, he reached the corner point C, diagonally opposite to A, if his speed was 8km/hr , what is the area of the field in square km.?
Options- A. 64
- B. 8
- C. 4
- D. Cannot be determined Discuss
Correct Answer: 4
Explanation:
Length of two sides of square
= 8 x 1/2 km.
= 4 km.
? Area of the field = 2 x 2 sq. km
= 4 sq. km.
- 2. A man goes uphill with an average speed of 35 km/hr, and covers down with an average speed of 45 km/hr. The distance travelled in both the cases being the same , the average speed for the entire journey is?
Options- A. 38 3/8 km/hr.
- B. 39 3/8 km/hr.
- C. 40 km/hr
- D. None of these Discuss
Correct Answer: 39 3/8 km/hr.
Explanation:
Average speed = 2uv / (u + v)
= ( 2 x 35 x 45) / (35 + 45) km/hr.
= 39 3/8 km/hr
- 3. If a boy takes as much time in running 10 m as a car takes in covering 25 m, the distance covered by the boy during the time the car covers 1 km, is?
Options- A. 400 m.
- B. 40 m.
- C. 250 m.
- D. 650 m. Discuss
Correct Answer: 400 m.
Explanation:
Let distance covered by boy is Y.
Then, 25 : 10 : : 1000 : Y
? Y = (10 x 1000)/25 = 400 m
- 4. The ratio between the rates of walking of A and B is 2:3 , if the time taken by B to cover a certain distance is 36 minutes, the time taken by A to cover that much distance is?
Options- A. 24 min
- B. 54min
- C. 48 min
- D. 21.6min Discuss
Correct Answer: 54min
Explanation:
Ratio of speed = 2 : 3
Ratio of times taken for same distance = 1/2 : 1/3
From question 1/2 : 1/3 = t : 36
? (1/3) x t = (1/2) x 36
? x = 54 min .
- 5. A man, on tour travel first 160 km. at 64 km/hr. and the next 160 km. at 80 km/hr. The average speed for first 320 km. of the tour is?
Options- A. 35.55 km/hr
- B. 71.11 km/hr
- C. 36 km/hr
- D. 72 km/hr Discuss
Correct Answer: 71.11 km/hr
Explanation:
Average speed = 2uv / ( u + v ) km/hr
=(2 x 64 x 80) / (64 + 80) km/hr
= (2 x 64 x 80) / 144 km/hr.
= 71.11 km/hr
- 6. By walking at 3/4 of his usual speed , a man reaches his office 20 minutes later than usual . this usual time is?
Options- A. 30 minutes
- B. 60 minutes
- C. 75 minutes
- D. 1 hour 30 minutes Discuss
Correct Answer: 60 minutes
Explanation:
At 3/4 of the usual speed, the time taken is 4/3 of the usual time
? 4/3 of usual time - usual time = 20 min
? 4x/3 - x = 20
? x/3 = 20
? x = 60 min.
- 7. A train is running with the speed of 45 km/hour. What is its speed in meter per second?
Options- A. 12.5
- B. 13.5
- C. 20.5
- D. None of these Discuss
Correct Answer: 12.5
Explanation:
speed of a train in kilometer per hour =45
Speed in meter per second = ( 5/18 ) x Speed in kilometer per hour
= 45 x 5/18
= 12.5 kmph
- 8. If a motor car covers a distance of 250 m in 25 second, What is its speed in kilometer per hour?
Options- A. 36.5
- B. 36.8
- C. 37
- D. 36 Discuss
Correct Answer: 36
Explanation:
Speed of the motor car in meter per second = 250 / 25
= 10 m/s
Speed in km/hr = (18/5) x speed in m/s
= 10 x (18 / 5) km/hour
=36 km/hour.
- 9. A man takes 4 h 20 min in walking to a certain place and riding back. If he walk on both sides he losses 1 h. The time he would take by riding both ways is?
Options- A. 2 h 20 min
- B. 3 h 20 min
- C. 2 h
- D. 4 h 40 min Discuss
Correct Answer: 3 h 20 min
Explanation:
W + R = 4 h 20 min
W + W = 5 h 20 min
? R + R = 3 h 20 min
- 10. A boat moves downstream at 1 km in 5 minutes and upstream at 1 km in 12 minutes.What is the speed of current?
Options- A. 4.5 km/h
- B. 3.5 km/h
- C. 2 km/h
- D. 2.5 km/h Discuss
Correct Answer: 3.5 km/h
Explanation:
Sd = 12 km/h
Su = 5 km/h
Speed of current = (12 - 5)/2 = 3.5 km/h
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