Speed is a very basic concept in motion which is all about how fast or slow any object moves. We define speed as distance divided by time. Distance is directly proportional to Velocity when time is constant. Speed, distance, and time problems ask us to solve for one of the three variables given certain information. In these problems, we deal with objects moving at either constant speeds or average speeds.

Speed Distance Time Formula is mathematically given as:

Speed Distance Time Formula

Where

If any of the two quantities among speed, distance and time is given, we can use this formula and find the unknown quantity.

Related Calculators | |

Distance Time Speed Calculator | Calculating Distance Formula |

Below are solved problems based on speed distance and time formula:

### Solved Examples

**Question 1: **Lilly is driving a scooty with the speed of 6 km/hr for 2hr. How much distance will she travel?

** Solution: **

Given: Speed of the scooty x = 6km/hr

Time taken t = 2 hr

Distance traveled d = ?

Speed distance time formula is given as: x = $\frac{d}{t}$

Distance traveled d = x $\times$ t

= 6 km/hr $\times$ 2 hr

= 12 km.

**Question 2: **A man rides the bike with the speed of 60 miles in $\frac{3}{4}$^{th} hours. Calculate the speed of the bike?

** Solution: **

Given : Distance Covered d = 60 miles,

Time taken t = $\frac{3}{4}$ hours.

Speed is calculated using the formula: x = $\frac{d}{t}$

= $\frac{60 miles}{\frac{3}{4} hr}$

= 60 miles $\times$ $\frac{4}{3 hr}$

= 80 miles/hr.

**Question 3: **A cycle race is going on, a cyclist is moving with the speed of 2 km/hr. He has to cover a distance of 5 km. How much time will he need to reach his destiny?

** Solution: **

Given: Speed x = 2 km/hr,

Distance Covered d = 5 km,

time taken t = ?

Speed is given by formula: x = $\frac{d}{t}$

Time taken t = $\frac{d}{x}$

= $\frac{5 km}{2 km/hr}$

= 2.5 hr

= 9000 s.

Time taken by the Cyclist is 2.5 hr.

Given: Speed of the scooty x = 6km/hr

Time taken t = 2 hr

Distance traveled d = ?

Speed distance time formula is given as: x = $\frac{d}{t}$

Distance traveled d = x $\times$ t

= 6 km/hr $\times$ 2 hr

= 12 km.

Given : Distance Covered d = 60 miles,

Time taken t = $\frac{3}{4}$ hours.

Speed is calculated using the formula: x = $\frac{d}{t}$

= $\frac{60 miles}{\frac{3}{4} hr}$

= 60 miles $\times$ $\frac{4}{3 hr}$

= 80 miles/hr.

Given: Speed x = 2 km/hr,

Distance Covered d = 5 km,

time taken t = ?

Speed is given by formula: x = $\frac{d}{t}$

Time taken t = $\frac{d}{x}$

= $\frac{5 km}{2 km/hr}$

= 2.5 hr

= 9000 s.

Time taken by the Cyclist is 2.5 hr.

More topics in Distance Speed Time Formula | |

Average Speed Formula | Angular Speed Formula |

Linear Speed Formula | Stopping Distance Formula |

Instantaneous Speed Formula | Position Formula |

Distance Traveled Formula | |