The time taken by a boat to cover a certain distance in still water is 20% less than the time it takes to cover the same distance upstream. The speed of the stream is 4.5 km/h. How much total time (in hours) will the boat take to cover 60 km downstream and 30 km upstream?
The time taken by a boat to cover a certain distance in still water is 20% less than the time it takes to cover the same distance upstream. The speed of the stream is 4.5 km/h. How much total time (in hours) will the boat take to cover 60 km downstream and 30 km upstream?
Solution
✅ Correct Option: 2
Let the speed of the boat in still water be km/h and the speed of the stream be km/h.
For the same distance :
- Time in still water =
- Time upstream =
Given that time in still water is less than time upstream:
Cancel from both sides:
km/h
Calculate actual speeds:
- Upstream speed = km/h
- Downstream speed = km/h
Time for km downstream:
hours
Time for km upstream:
hours
Total time = hours