Question

A car travelling at 30 km/h takes 6/5 hours to travel a certain distance. How many minutes less will the car take to cover the same distance if its speed is now 45 km/h?

Answer 1

$\large \mathfrak{Solution : }$

Time taken when traveling at 30 km/h :

• $\dfrac{6}{5} \: \: hr$

• $\dfrac{6}{5} \times 60 \: min$

• $6 \times 12 \: min$

• $72 \: min$

Distance travelled :

• $30 \times \dfrac{6}{5}$

• $6 \times 6$

• $36 \: km$

now, if the speed is 44 km/h it will take :

• $\dfrac{36}{45} \: \: hr$

• $\dfrac{4}{5} \times 60 \: min$

• $48 \: min$

The car will take 72 - 48 = 24 less minutes to cover same distance at an speed of 45 km/h .