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Kuldeep decides to improve his running by running around a circular playground on daily basis. On the first day of the month, he completed one round of the playground at a speed of 10 km/hr in 6 minutes. And on the last day of the month, he completed one round of the playground in 4 minutes. How much in (m/s) Kuldeep improved upon his speed in one month?   

Kuldeep decides to improve his running by running around a circular playground on daily basis. On the first day of the month, he completed one round of the playground at a speed of 10 km/hr in 6 minutes. And on the last day of the month, he completed one round of the playground in 4 minutes. How much in (m/s) Kuldeep improved upon his speed in one month?    Correct Answer 25/18 m/s

Given:

Kuldeep completes one round in 6 minutes at the speed of 10 km/h

and completes one round in 4 minutes.

Concept Used:

The distance traveled or covered by a person or an object in unit time, is called its speed.

The unit of speed is m/s or km/h or kmph.

Calculation:

Speed of Kuldeep on first day of the month = Distance Covered/Time Taken

⇒ S1 = D/T1

⇒ D = S1 × T1

⇒ D = 10 × (6/60)

⇒ D = 60/60

⇒ D = 1 km

Now, Speed of Kuldeep on last day of the month = Distance Covered/Time Taken

⇒ S2 = D/T2

⇒ S2 = 1/(4/60)

⇒ S2 = 60/4

⇒ S2 = 15 km/h

Now, the improvement in Kuldeep’s speed = (S2 - S1)

⇒ 15 – 10

⇒ 5 km/h

So, Increase in Kuldeep’s speed in m/s = (S2 - S1) × (5/18)

⇒ 5 × (5/18)

⇒ 25/18 m/s

 ∴ Kuldeep increased his speed by 25/18 m/s in one month.

Important Points

To convert a speed given in km/h to m/s, multiply the speed by 5/18

To convert a speed given in m/s to km/h, multiply the speed by 18/5

To convert a speed given in m/s to m/min, multiply the speed by 60

To convert a speed given in m/min to m/s, divide the speed by 60

Mistake Points

The unit of speeds given in the question are in km/h and the answer is asked in m/s. So, make sure you do the proper unit conversion to arrive at the correct answer.

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