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The ratio of speed of boat in still water and the current speed is 4:3, distance covered by boat in downstream speed and upstream speed is 126km each. find the speed of boat in still water if total time taken by boat in both downstream and upstream speed is 48 hours ?
16 km/hr
9 km/hr
10.5 km/hr
3 km/hr
12 km/hr
Let’s break down the problem:
- Let speed of boat in still water = 4x, speed of current = 3x
- Downstream speed = (4x + 3x) = 7x
- Upstream speed = (4x – 3x) = x
- Distance covered downstream = 126 km, upstream = 126 km
- Time for downstream = 126/7x = 18/x hours
- Time for upstream = 126/x hours
- Total time: 18/x + 126/x = 144/x = 48 hours
- So, x = 144/48 = 3 km/hr
- Speed of boat in still water = 4x = 12 km/hr
- Option 1: 16 km/hr – Incorrect
- Option 2: 9 km/hr – Incorrect
- Option 3: 10.5 km/hr – Incorrect
- Option 4: 3 km/hr – Incorrect
- Option 5: 12 km/hr – Correct
By: Parvesh Mehta ProfileResourcesReport error
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