Question

Fatima drives a distance of 300km at an average speed of 40/h, and then returns at an average speed of 60 km/h. What will be her average speed for the entire trip?

Answer 1

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Answer 2

Given :

Total distance drive by Fatima on one-way = 300 km

The average speed on going = 40 km/h

The average speed on returning = 60 km/h

To Find :

The average speed for the entire speed

Solution :

Let The average speed for the entire speed = S km/h

∵ Time  = $\dfrac{Distance}{speed}$

Time taken to cover 300 km on going = $t_1$  = $\dfrac{300 km}{40 km/h}$

Or,                                                             $t_1$  = 7.5  hours

And

Time taken to cover 300 km returning = $t_2$  = $\dfrac{300 km}{60 km/h}$

Or,                                                             $t_2$  = 5  hours

So,, Total time taken =  $t_1$  +  $t_2$

                                  = 7.5  h +  5 h

                                   = 12 . 5 hours

Total Distance cover = ongoing distance + returning distance

i.e                            D = 300 km + 300 km

                              D = 600 km

Now, Average speed = $\dfrac{Total distance}{Total time}$

i.e     Average speed =  $\dfrac{D}{t_1+t_2}$

                                   = $\dfrac{600 km}{12.5 h}$

     Average speed     = 48 km/h

Hence, The average speed for the entire trip is 48 km/h  . Answer