Question

A car completes journey in 11 hours. It travels at 50 km/hr in the first half of the journey and 60 km/hr in the second half. The total distance travelled by the car is?​

Answer 1

Let the total distance be 2x. We know that speed is distance by time. Let the time for the first half be t1 , and for the second half, t2 .

With that said, we have,

t1+t2=11hrs

xt1=50km/hr

xt2=60km/hr

Which gives,

t1=x/50

t2=x/60

Therefore,

x/50+x/60=11hr

By cross multiplying,

50x+60x/3500=11hr

implies,

110x=11∗3500

10x=3500

x=350.

So the total distance is 2 times 350, ie 700 km.