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- Question
A man on tour travels first 160 km at 64 km/hr and the next 160 km at 80 km/hr. The average speed for the first 320 km of the tour is
Options- A. 35.55 km/hr
- B. 36 km/hr
- C. 71.11 km/hr
- D. 71 km/hr
- Correct Answer
- 71.11 km/hr
ExplanationTotal time taken = (160/64 + 160/8)hrs
= 9/2 hrs.
Average speed = (320 x 2/9) km.hr
= 71.11 km/hr. - 1. A man walking at the rate of 5 km/hr crosses a bridge in 15 minutes. The length of the bridge (in metres) is
Options- A. 600
- B. 750
- C. 1000
- D. 1250 Discuss
- 2. A man takes 6 hours 15 minutes in walking a distance and riding back to the starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride both ways, is
Options- A. 4 hours
- B. 4 hours 30 minutes
- C. 4 hours 45 minutes
- D. 5 hours Discuss
- 3. How long will a boy take to run round a square field of side 35 meters, If he runs at the rate of 9 km/hr?
Options- A. 50 sec
- B. 52 sec
- C. 54 sec
- D. 56 sec Discuss
- 4. Two horses start trotting towards each other, one from A to B and another from B to A. They cross each other after one hour and the first horse reaches B, 5/6 hour before the second horse reaches A. If the distance between A and B is 50 km. what is the speed of the slower horse?
Options- A. 30 km/h
- B. 15 km/h
- C. 25 km/h
- D. 20 km/h Discuss
- 5. Two trains A and B start simultaneously in the opposite direction from two points P and Q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. At what speed does the second train B travel if the first train travels at 120 km/h
Options- A. 90 km/h
- B. 160 km/h
- C. 67.5 km/h
- D. None of these Discuss
- 6. The distance between two cities A and B is 330 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Options- A. 10 a.m
- B. 10.30 a.m
- C. 11 a.m
- D. 11.30 a.m Discuss
- 7. Akash leaves mumbai at 6 am and reaches Bangalore at 10 am . Prakash leaves Bangalore at 8 am and reaches Mumbai at 11:30 am. At what time do they cross each other?
Options- A. 10 am
- B. 8:32 am
- C. 8:56 am
- D. 9:20 am Discuss
- 8. In a one km race A gives B a start of 100m and in a one km race B gives a start of 80 m to C. In a 1 km race who will win and by how much distance from the worst performer between two losers?
Options- A. 182 m
- B. 152 m
- C. 172 m
- D. 162 m Discuss
- 9. A train overtakes two girls who are walking in the opposite direction in which the train is going at the rate of 3 km/h and 6km/h and passes them completely in 36 seconds and 30 seconds respectively. The length of the train is:
Options- A. 120m
- B. 150m
- C. 125m
- D. None of these Discuss
- 10. The distance of the college and home of Rajeev is 80km. One day he was late by 1 hour than the normal time to leave for the college, so he increased his speed by 4km/h and thus he reached to college at the normal time. What is the changed (or increased) speed of Rajeev?
Options- A. 28 km/h
- B. 30 km/h
- C. 40 km/h
- D. 20 km/h Discuss
Time and Distance problems
Search Results
Correct Answer: 1250
Explanation:
speed = (5x5/18)m/sec
= 25/18 m/sec.
Distance covered in 15 minutes = (25/18 x 15 x 60)m
= 1250 m.
Correct Answer: 4 hours 45 minutes
Explanation:
Time taken in walking both ways = 7 hours 45 minutes --------(i)
Time taken in walking one way and riding back= 6 hours 15 minutes-------(ii)
By equation (ii)*2 -(i), we have
Time taken to man ride both ways, = 12 hours 30 minutes - 7 hours 45 minutes
= 4 hours 45 minutes
Correct Answer: 56 sec
Explanation:
Speed = 9 km/hr = 9 x (5/18) m/sec = 5/2 m/sec
Distance = (35 x 4) m = 140 m.
Time taken = 140 x (2/5) sec= 56 sec
Correct Answer: 20 km/h
Explanation:
If the speed of the faster horse be and that of slower horse be then
and
Now, you can go through options.
The speed of slower horse is 20km/h
Since, 20+30=50
and
Correct Answer: 160 km/h
Explanation:
Correct Answer: 11 a.m
Explanation:
Suppose they meet x hrs after 8 a.m
then,
[Distance moved by first in x hrs] + [Distance moved by second in (x-1) hrs] = 330.
Therefore, 60x + 75(x-1) = 330.
=> x=3.
So,they meet at (8+3) i.e, 11a.m.
Correct Answer: 8:56 am
Explanation:
Time taken by Akash = 4 h
Time taken by Prakash = 3.5 h
For your convenience take the product of times taken by both as a distance.
Then the distance = 14km
Since, Akash covers half of the distance in 2 hours(i.e at 8 am)
Now, the rest half (i.e 7 km) will be coverd by both prakash and akash
Time taken by them = 7/7.5 = 56 min
Thus , they will cross each other at 8 : 56am.
Correct Answer: 172 m
Explanation:
Ratio of speeds of A:B = 1000:900 = 100:90 Ratio of speeds of B:C = 1000:920 = 100:92 Therefore, when A moves 1000m, B moves 900 m and when B moves 900m, C moves 828m Since, C moves 8 % less than B at the same time. Thus, C is the worst performer and A will win by him by 172 m
Correct Answer: 150m
Explanation:
Let the length of the train e x meter, and let the speed of train be y km/h, then
--------(1) and
---------(2)
From eq (1) and (2), we get
y = 12 km/h
Therefore, => x= 150 m
Correct Answer: 20 km/h
Explanation:
Let the normal speed be x km/h, then
x (x + 20) - 16 (x + 20) = 0
(x + 20 ) (x - 16) =0
x = 16 km/h
Therefore (x + 4) = 20 km/h
Therefore increased speed = 20 km/h
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