# Time and Distance – Solved Aptitude Questions and Formulas

Welcome to freeonlinetest online web portal, In this section you will learn about Time and distance questions, shortcut tips, formulas, solved examples, problems on time work, quantitative aptitude problems, quiz, solutions, pdf downloads.

## Formulas and Quick Tricks for Time and Distance

1 Kmph = $5/18$ m/s

1 m/s = $18/5$ Kmph

Speed(S) = $\text"Distance(d)"/\text"Time(t)"$

Average Speed = $\text"Total distance"/\text"Total Time"$ = ${d_1+d_2}/{t_1+t_2}$

When $d_1 = d_2$, Average Speed = ${2S_1S_2}/{S_1+S_2}$, where $S_1$ and $S_2$ are the speeds for covering $d_1$ and $d_2$ respectively.

When $t_1 = t_2$, Average Speed = ${S_1+S_2}/2$, where $S_1$ and $S_2$ are the speeds during $t_1$ and $t_2$ respectively.

Relative speed when moving in opposite direction is $S_1+S_2$

Relative speed when moving in same direction is $S_1-S_2$

A person goes certain distance (A to B) at a speed of $S_1$ kmph and returns back (B to A) at a speed of $S_2$ kmph. If he takes T hours in all, the distance between A and B is ${T ×S_1S_2}/{S_1+S_2}$

When two trains of lengths $L_1$ and $L_2$ respectively travelling at the speeds of $S_1$ & $S_2$ respectively cross each other in time t, then the equation is given as $S_1+S_2$ = ${L_1+L_2}/t$

When a train of length $L_1$ travelling at a speed of $S_1$ overtakes another train of length $L_2$ travelling at speed $S_2$ in time t, then the equation is given as ${S_1-S_2} = {L_1+L_2}/t$

When a train of length $L_1$ travelling at a speed of $S_1$ crosses a platform/bridge/tunnel of length $L_2$ in time t, then the equation is given as $S_1$ = ${L_1+L_2}/t$

When a train of lengths L travelling at a speed s crosses a pole/pillar/flag post in time t, then the equation is given as s = $L/t$

If two persons A and B start at the same time from two points P and Q towards each other and after crossing they take $T_1$ and $T_2$ hours in reaching Q and P respectively, then (A’s speed) / (B’s speed) = ${√T_2} / {√T_1}$

### Test instructions :

• Total number of questions : 20
• Each question carries 1 mark
• Negative marks of Each Questions: 0.25
• Skiping questions No marks will deduct.
• Time allotted : 30 minutes