Solving Statement For Upstream And Downstream
Solving Statement For Upstream And Downstream
Solving Statements For Upstream and Downstream: In these type of situations, while calculating upstream speed we subtract the speed of river from the speed of boat because the river is pushing the boat downwards even when the boat is moving upwards. Whereas when the boat is moving downstream the speed is calculated by adding the speed of river to the speed of boat.
Example: A boat goes downstream from one point to another in 9 hours. It covers the same distance upstream in 10 hours. If the speed of the stream is 1 km/hr. Calculate the speed of boat in still water.
Solution: Let the speed of boat in still water be x km/hr
Speed of stream = 1 km/hr
Speed upstream = x-1 km/hr
Speed Downstream = x + 1 km/hr
Distance upstream = (x-1) X 10 = 10x - 10 Km
Distance Downstream = (x+1) X 9 = 9x + 9 Km
According to the question the distance is the same
10x-10 = 9x + 9
10x - 9x = 9+ 10
x = 19 km/hr
So the speed of boat in still watre = 19 km/hr.
At his usual rowing speed. Kapil can travel 12 miles downstream in a certain river in 6 h less than he takes to travel the same distance upstream. But, if he could double his usual rowing speed for his 24 miles round trip, the downstream 12 miles would then take only 1 h less than the upstream 12 miles. What is the speed of the current ? | |||
| Right Option : A | |||
| View Explanation | |||
A boat covers 24 km upstream and 36 km downstream in 6 hr, while it covers 36 km upstream and 24 km downstream in | |||
| Right Option : C | |||
| View Explanation | |||
A boat covers a certain distance downstream in 3 hours, and it covers the same distance upstream in 5 hours. If the speed of the boat in still water is 8 km/hr, then the speed of the stream is | |||
| Right Option : C | |||
| View Explanation | |||
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