 # Distance Speed Time Formula

## Speed Distance Time Formula

Speed is the rate at which an object moves. It’s a very basic concept in motion and all about how fast or slow an object can move. Speed is simply distance divided by the time where distance is directly proportional to velocity when time is constant. Problems related to speed, distance, and time, will ask you to calculate for one of three variables given.

The formula for speed distance time is mathematically given as:

Speed = Distance/Time

Where,

x = Speed in m/s,

d = Distance travelled in m,

t= time taken in s.

Distance travelled formula

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

### Solved Examples

Question 1: Lilly is driving a scooter with a speed of 6 km/hr for 2hr. Calculate the distance travelled by her?

Solution:

Given:

Speed of the scooter x = 6km/hr

Time taken, t = 2 hr

Distance travelled d = ?

Speed distance time formula is given as

d=xt

Distance travelled d = x × t

= 6 km/hr × 2 hr

= 12 km.

Question 2: A man has covered a distance of 80 miles in 4 hours. Calculate the speed of the bike?

Solution:

Given: Distance Covered d = 80 miles,

Time taken, t = 4 hours

Speed is calculated using the formula: x = d/t

= 80/4

= 20 miles/hr.

Question 3: In a cycle race, a cyclist is moving with a speed of 2 km/hr. He has to cover a distance of 5 km. Calculate the 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 = d/t

Time taken t = d/x

= 5 km/2 km/hr

= 2.5 hrs

Time taken by the Cyclist = 2.5 hrs

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