Problems On Time and Distance

Time And Distance Problems :-

Formulae:

I)Speed = Distance/Time

II)Time = Distance/speed

III) Distance = speed*time

IV) 1km/hr = 5/18 m/s

V)1 m/s = 18/5 Km/hr

VI)If the ratio of the speed of A and B is a:b,then the ratio of the time taken by them to cover the same distance is 1/a : 1/b or b:a

VII) suppose a man covers a distance at x kmph and an equal distance at y mph. then the average speed during the whole journey is (2xy/x+y)kmph

Problems

1)A person covers a certain distance at 7kmph .How many meters does he cover in 2 minutes.

2)If a man runs at 3m/s. How many km does he run in 1hr 40min?

3)Walking at the rate of 4kmph a man covers certain distance in 2hr 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in.

4)A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour?

5)If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The

actual distance travelled by him is?

Complex Problems:-

1)A train covers a distance in 50 min ,if it runs at a speed of 48kmph on an average.The speed at which the train must run to reduce the time of journey to 40min will be.

2)Vikas can cover a distance in 1hr 24min by covering 2/3 of the distance at 4 kmph and the rest at 5kmph.the total distance is?

3) Walking at ¾ of his usual speed ,a man is late by 2 ½ hr. The usual time is.

4)A man covers a distance on scooter .had he moved 3kmph faster he would have taken 40 min less. If he had moved 2kmph slower he would have taken 40min more.the distance is.

5)Excluding stoppages,the speed of the bus is 54kmph and including stoppages,it is 45kmph.for how many min does the bus stop per hr.

6)Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively.wht time will they take to be 8.5km apart, if they walk in the same direction

7)2 trains starting at the same time from 2 stations 200km apart and going in opposite direction cross each other at a distance of 110km from one of the stations.what is the ratio of their speeds.

8)Two trains start from A & B and travel towards each other at speed of 50kmph and 60kmph resp. At the time of the meeting the second train has traveled 120km more than the first.the distance between them.

9)A thief steals a ca r at 2.30pm and drives it at 60kmph.the theft is discovered at 3pm and the owner sets off in another car at 75kmph when will he overtake the thief

10)In covering distance,the speed of A & B are in the ratio of 3:4.A takes 30min more than B to reach the destion.The time taken by A to reach the destinstion is.

11)A motorist covers a distance of 39km in 45min by moving at a speed of xkmph for the first 15min.then moving at double the speed for the next 20 min and then again moving at his original speed for the rest of the journey .then x=?

12)A & B are two towns.Mr.Fara covers the distance from A to B on cycle at 17kmph and returns to A by a tonga running at a uniform speed of 8kmph.his average speed during the whole journey is :





Answers :-

Simple Problems :-

1. 233.33m
2. 18Km
3. 40min.
4. 7.2Km/Hr
5. 50Km

Complex Problems:-

1. 60Kmph
2. 6km
3. 7.5km
4. 40
5. 10min
6. 17Hrs.
7. 11:9
8. 1320Km
9. 5PM
10. 2 hours
11. 36kmph
12. 10.88Kmph