Question

A car travels the half of the distance of its journey with a speed of 40km/h and the second half of the distance with the speed v. If the average speed of the car is 48km/h, then the value of v is ​

Answer 1

Given:-

• The car travels the half of journey with a constant speed of 40 km/hr.
• And the second half journey with the speed of $\sf{v}$ km/hr.
• The average speed of the car in whole journey is 48 km/hr.

To Find:-

• The value of $\sf{v}$ .

Solution:-

Here, Average speed =  $\sf{\dfrac{Sum\ of\ both\ speeds}{2}}$

                 48              =  $\sf{\dfrac{40 + v}{2}}$

              48 × 2           =  $\sf{40 + v }$

             96 - 40          = v

                                v = 56 km/hr

Hence, The speed of the car in the second half journey is 56 km/hr.