Ssc ibps rrb Time Distance and Work imp formulas and tricks

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Time, Distance & Work Formulas and Tricks 


Time and Work Formulas - If M1 persons can do W1 work in D1 days and M2 persons can do W2 work in D2 days, then the formula will be -M1 * D1 * W1 = M2 * D2 * W2


 If we add Time for both the groups T1 and T2 respectively, then the formula will become –
M1 * D1 * T1 * W1 = M2 * D2 * T2 * W2


 And if we add efficiency for both the groups E1 and E2 respectively, then the formula becomes –
M1 * D1 * T1 * E1 * W1 = M2 * D2 * T2 * E2 * W2


 If A can do a piece of work in x days and B can do it in y days, then A and B working together will do the same work in [(x*y)/(x+y)]


 If A, B and C can do a work in x, y and z days respectively, then all of them working together can finish the work in [(x*y*z) / (xy + yz + zx)]


 If A and B together can do a piece of work in x days and A can do it in y days, then B alone can do the work in (x*y) / (x-y)


 Original Number of Workers = (No. of more workers * No. of days taken by the second group) / No. of less days


Time and Distance Formulas -


 Speed = Distance / Time


 If the speed of a body is changed in the ratio a:b, then the ratio of the time taken changes in the ration b:a.


 If a certain distance is covered at x km/hr and the same distance is covered at y km/hr, then the average speed during the whole journey is 2xy / (x+y) km/hr.


 Required Distance = [(Product of two speeds) / (Difference of two speeds)] * Diff between arrival times.


 Required Distance = Total Time Taken * [(Product of two speeds) / (Addition of two speeds)]


 Distance = (2*Time*S1*S2) / (S1 + S2)

Where S1 = Speed during first half and S2 = Speed during second half of journey


 Meeting point’s distance from starting point = (S1 * S2 * Difference in time) / (Difference in speed)


 Distance travelled by A = 2 * Distance of two points (a / a+b)


 Distance = [(Multiplication of speeds) / (Difference of Speeds)] * (Difference in time to cover the distance)


 Meeting Time = (First’s starting time) + [(Time taken by first) * (2nd’s arrival time – 1st’s starting time)] / (Sum of time taken by both)


 Time of rest per hour = (Difference of Speed) / (Speed without Stoppage)


 Distance = (Total Time) * (Multiplication of two speeds) / (Sum of Speeds)


 Speed = [2 * (Increase in speed) * (Decrease in speed)] / Difference in Increase and Decrease in Speeds

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