## Time and Distance

• Speed = Distance / Time, Distance = (Speed x Time), Time = Distance / Speed
• km per hr to m per sec conversion x km/hr = (x*5/18) m/sec.
• m/sec to km/hr conversion x m/sec = (x *18/5) km/hr.
• If the ratio of the speeds of A and B is a: b, then the ratio of the times taken by them to cover the same distance is 1/a: /b or b: a.
• Suppose a man covers a certain distance at x km/hr and an equal distance at y km/hr. Then, the average speed during the whole journey is 2xy / x + y km/hr.
• When two bodies move in the opposite direction, their speeds are added to find the relative speed. SR = S1 + S2
• When two bodies move in the same direction, their speeds are subtracted to find the relative speed. SR = S1 – S2

### Time and Distance Problems with Solutions

1. A man traveled 61 km away in 99 hours. At 44 km/h, he traveled partly on foot and partly at 99 km/h by bike. What is the distance travel by foot?

• A. 14 km
• B. 16 km
• C. 18 km
• D. 12 km

2. A man rides his bike 10 km at an average speed of 12 km / h and flies 12 km / h again at an average speed of 10 km / h. What is approximately its average speed for the entire trip?

• A. 10.8 kmph
• B. 10.2 kmph
• C. 11.2 kmph
• D. 10 kmph

3. An airplane covers some distance in 55 hours at a speed of 240 kmph. It must travel at speed to cover the same distance in 1 2/3 hours.

• A. 660 km/hr
• B. 680 km/hr
• C. 700 km/hr
• D. 720 km/hr

4. Sound is said to travel some 1100 feet per second in the air. A man hears the tree’s axis striking 11/5 seconds after he sees the tree strike. How far from the woodchopper is that man?

• A. 2420 ft
• B. 1800 ft
• C. 2810 ft
• D. 3020 ft

5. In 5 minutes, a person crosses a 600 m long street, What is its speed in km / h?

• A. 3.6
• B. 7.2
• C. 8.4
• D. 10

6. A 600 km journey takes eight hours if 120 km is done by train, and the rest by car. It takes more than 20 minutes if 200 km is done by train, and the rest by car. What is the ratio of train speed to car speed?

• A. 1:2
• B. 1:3
• C. 3:4
• D. 2:3

7. Excluding stoppages, a bus ‘s speed is 54 kmph, and it’s 45 kmph, including stops. How many minutes does the hourly bus stop?

• A. 9
• B. 10
• C. 12
• D. 20

8. A plane was slowed down on a 600 km flight due to bad weather. The maximum travel speed was reduced by 200 km / h, and the flight time increased by 30 minutes. The flight duration is to:

• A. 1 hour
• B. 2 hours
• C. 3 hours
• D. 4 hours

9. A man is completing a 10-hour journey. He travels at a rate of 21 km / h in the first half of the trip, and 24 km / h in the second half. Find the total travel in kilometers.

• A. 220 km
• B. 224 km
• C. 230 km
• D. 234 km

10. It takes Abhay 2 hours more than Sameer to cover a distance of 30 km. If Abhay doubles his speed, then it would take less than 1 hour for him than Sameer. Abhay velocity is:

• A. 5 kmph
• B. 6 kmph
• C. 6.25 kmph
• D. 7.5 kmph

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