Time and Distance

Time and Distance

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Important Formulas – Time and Distance

speed(distance/time)
distancespeed×time
timedistance/speed

Convert kilometres per hour(km/hr) to metres per second(m/s)

x km/hrx×(5/18)m/s

Convert metres per second(m/s) to kilometres per hour(km/hr)

x m/sx×(18/5) km/hr

Average Speed

If an object travel a certain distance at a kmph and an equal distance at b kmph, then the average speed of complete travel(2ab/a+b) kmph



Relation Between Distance, Speed and Time

  1. Speed and time are inversely proportional (when distance is constant)

speed∝(1/time)

  1. If the ratio of the speeds of A and B is a:b, then, the ratio of the time taken to cover the same distance will be

(1/a:1/b= b:a)

  1. When two Persons A and B start journey at the same time in opposite directions from two different points P and Q respectively. After passing each other, A reaches Q in a seconds and B reaches P in b seconds. Then,

Speed of A : Speed of B =√b:√a

  1. A man Travelled a certain distance at a speed of v kmph. If it had moved v1 kmph faster, then  time taken by it would be t1 hours less. If it had moved v2 kmph slower, it would have taken t2 hours more. Then,
Speed (v)v1*v2(t1+t2)kmph
(v1t2−v2t1

Relative Speed

  1. If two objects are moving in the same direction at v1 m/s and v2 m/s respectively where v1>v2, then their
    relative speed (v1−v2)m/s
  2. Consider two objects A and B at a distance of d metre. Suppose A and B start moving  towards in the same direction at the same time such that A moves towards B at a speed of a m/s and B moves away from A at a speed of b m/s where a>b. Then
    relative speed(a−b) m/s
    time needed for A to meet Bd/(a−b) sec
  3. If two objects are moving in opposite directions at speed of v1 m/s and v2 m/s respectively, then 
    relative speed(v1+v2) m/s
  4. Consider two objects A and B at a distance of d metre. Suppose A and B start moving towards each other in opposite direction at the same time at a m/s and b m/s respectively. Then,
    relative speed(a+b) m/s
    time needed for A and B to meet each otherd/(a+b) Sec



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Time and Distance 1

1 / 5

Excluding stoppages, the speed of a bus is  kmph and including stoppages, it is  kmph. For how many minutes does the bus stop per hour?

स्टॉपेज को छोड़कर, एक बस की गति 54 किमी प्रति घंटे हैऔर ठहराव सहित, यह  45 किमी प्रति घंटा है। कितने मिनट के लिए बस प्रति घंटे बंद करता है?

2 / 5

एक आदमी ने कुछ गति से एक निश्चित दूरी को कवर किया। अगर वह 3 किमी प्रति घंटे तेजी से चलता है तो वह 40मिनट कम लेता है। अगर वह 2 किमी प्रति घंटे धीमी चलता है तो  40मिनट अधिक समय लेता । वह कितना दूरी को कवर किया ?

A man covered a certain distance at some speed. If he had moved 3kmph faster, he would have taken 40minutes less. If he had moved 2kmph slower, he would have taken 40minutes more. What is the distance in km?

3 / 5

A person crosses a metre long street in 5 minutes. What is his speed in km per hour?

एक व्यक्ति एक 600मीटर लंबी गली को 5 मिनट  में पार करता है . किमी प्रति घंटे में उसकी गति क्या है?

4 / 5

A car traveling with  of its actual speed covers  km in 1 hr 40 min 48 sec. What is the actual speed of the car?

एक कार अपने वास्तविक गति  की  5/7 से चल रही है, 42 किमी चलने में 1 घंटा 40मिनट 48सेकंड लगा। कार की वास्तविक गति क्या है?

5 / 5

A man takes 5 hours  min in walking to a certain place and return back by riding. He takes hours less by riding both ways. The time he would take to walk both ways is?

एक आदमी 5 घंटे 45 मीनट लेता है एक निश्चित स्थान पर चल कर जाने मे और वापस सवारी से आने मे। वह दोनों तरफ सवारी करके जाता  है तो २ घंटे कम समय लगता हैैै। दोनो तरफ पैदल  जाने मे कितना समय लगेगा ?

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Time & Distance 2

1 / 7

It takes eight hours for a  km journey, if 120 km is done by train and the rest by car. It takes  minutes more, if 200 km is done by train and the rest by car. What is the ratio of the speed of the train to that of the car?

2 / 7

A man rides his bicycle  km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately?

3 / 7

A man goes to his office from his house at a speed of  km/hr and returns at a speed of  km/hr. If he takes 5 hours in going and coming, what is the distance between his house and office?

4 / 7

The ratio between the speeds of two trains is . If the second train runs 400 km in  hours, What is the speed of the first train?

5 / 7

An aeroplane covers a certain distance at a speed of  kmph in  hours. To cover the same distance in

(5/3)  hours, it must travel at a speed of:

6 / 7

A train can travel  faster than a car. Both start from point A at the same time and reach point B, 75 kms away from A, at the same time. On the way, however, the train lost about  minutes while stopping at the stations. What is the speed of the car?

7 / 7

A man travelled a distance of  km in  hours. He travelled partly on foot at  km/hr and partly on bicycle at 9 km/hr. What is the distance travelled on foot?

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