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Ratio between time taken to cover same distance in upstream to downstream is 5 : 3. If speed of stream is 4 km/hr then find time taken to cover
96km in upstream?
8 hours
6 hours
16 hours
12 hours
15 hours
- The ratio of time taken to travel the same distance upstream and downstream is 5:3.
- This means that upstream takes more time due to the opposing current.
- Speed of the stream is given as 4 km/hr.
- To find upstream time, let the speed of the boat in still water be 'b' km/hr.
- Upstream speed = (b - 4) km/hr and downstream speed = (b + 4) km/hr.
- According to the ratio 5/3 = (96/(b-4)) / (96/(b+4)).
- Simplifying gives b = 16 km/hr.
- Thus, upstream speed is 12 km/hr.
- Time = Distance/Speed = 96 km / 12 km/hr = 8 hours.
- Option 1: 8 hours
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