How much time does a bus take to reach its destination 400 km away, if it covers half of its journey at a speed of 50 km/hr, 60% of the remaining journey at 60 km/hr. and the remaining at 80 km/hr?
1). 5 hrs
2). 6 hrs
3). 7 hrs
4). 8 hrs
Distance covered in first part = 400/2 = 200 km
Time taken in first part = 200/50 = 4 hrs
Distance covered in second part = 60% of (400 – 200) = 0.6 × 200 = 120 km
Time taken in second part = 120/60 = 2 hrs
Distance covered in last part = 400 – 200 – 120 = 80 km
Time taken in last part = 80/80 = 1 hr
∴ Total time taken by bus to reach its destination = 4 + 2 + 1 = 7 hrs