Two trains A and B start simultaneously in the opposite direction from two point

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Question
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

Correct Answer

160 km/h

Explanation

$\frac{s_{1}}{s_{2}} = \sqrt{\frac{t_{2}}{t_{1}}}$

$? \frac{120}{s_{2}} = \sqrt{\frac{9}{16}} = \frac{3}{4}$

$?$ $s_{2} = 160 k m / h$

Time and Distance problems

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1. A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes?
Options
A. 100 m
B. 150 m
C. 190 m
D. 200 m

2. A person crosses a 600 m long street in 5 minutes, What is his speed in km per hour?
Options
A. 3.6
B. 7.2
C. 8.4
D. 10

3. The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?
Options
A. 456 kms
B. 482 kms
C. 552 kms
D. 556 kms

4. Find the annual income derived by investing Rs. 6800 in 10% stock at 136.?
Options
A. 250
B. 1500
C. 500
D. 50

5. Find the annual income derived from Rs. 2500, 8% stock at 106?
Options
A. 100
B. 200
C. 150
D. 250

6. 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

7. 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

8. 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

9. 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
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10. 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

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