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# Time work and Distance, Mathematics Assignment Help

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mathematics - Time work and Distance, Mathematics

TIME, WORK AND DISTANCE

Important results

(i) Speed = distance/Time

(ii) Time = Distance /Speed

(iii) Distance = Speed x Time

1 km/hr = 5/18 m/s

1 m/s = 18/5 km/hr.

**IMPORTANT POINTS **

(1) If A can finish a piece of work in n days, the work done by A in 1 day = 1/n

(2) If A's 1 day's work =1/n , then the time taken by A to finish the work = n days.

(3) In a storage tank, the pipe which fills it is called an inlet pipe while the pipe that empties it is called as an outlet pipe.

(4) If an inlet pipe fills a tank in x hours, then the work done by it in 1 hour = -1/y

(5) If an outlet pipe empties a full tank in y hours, then the work done by it in 1 hour = -1/y

**TIME AND DISTANCE **

**Uniform speed:** If equal distances are covered in equal intervals of time, then speed is said to be uniform or constant.

**Relative speeds:**

(1) If two bodies are moving in opposite direction towards each other with speed x km/hr and Y km/hr respectively then (x + y) km/hr is called their relative speed.

(2) If two bodies are moving in same direction with speed x km/hr and y km/hr respectively then (x - y) km/hr is called their relative speed.

**Note:** For Boat or Rivers:

(3) Relative speed in same direction is (x + y) km/hr.

(4) Relative speed in opposite direction is (x - y) km/hr.

**IMPORTANT POINTS HELP TO SOLVE THE PROBLEMS **

(A) If a train of length l metres is moving at x km/hr then

(i) the time taken to cover a stationary object is the time taken l by the train to cover l metres at x km/hr.

(ii) the time taken to cover a stationary object (of length b) is the time taken by the train to cover (l + b) metres at x km/hr.

(iii) When two trains of length l metres and b metres are moving in opposite direction with a speed of x km/hr and y km/hr respectively, then the time taken by them to cross each other is the time taken to cover (l + b) metres with the relative speed (x + y) km/hr.

(iv) When two trains of length l metres and b metres are moving in the same direction with a speed of x km/hr and y km/hr respectively when x > y, then, the time taken by faster train to cross the slower train is the time taken to cover (l + b) metres at a relative speed of (x - y) km/hr.

(B) The time taken by a train of length l metres moving at x km/hr to cross a man running at y km/hr.

(i) in the same direction, is the time taken to cover l metres with a speed of (x - y) km/hr.

(ii) in the opposite direction, is the l time taken to cover l metres with a speed of (x + y) km/hr.

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**IMPORTANT POINTS**

**TIME AND DISTANCE**

**Uniform speed:**If equal distances are covered in equal intervals of time, then speed is said to be uniform or constant.

**Relative speeds:**

**Note:**For Boat or Rivers:

**IMPORTANT POINTS HELP TO SOLVE THE PROBLEMS**

**Math Assignment Help - Homework Help at Expertsmind.com**