Solving Statement For Upstream And Downstream
Solving Statement 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.
Let the speed of a boat ( or a body) in still water be x km/h and that of stream be y km/h, then
Let the speed of boat in downstream and upstream be u km/h and v km/h, then
Speed of boat in still water
Illustration: 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.
A. 15 Km/h B. 7.5 Km/h C. 19 Km/h D. 7 Km/h
Answer: C
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
As we know
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 water = 19 km/h
Hence the correct option is C.
Illustration: A motor boat whose speed in still water is 15 km/h, goes 40 km down stream and comes back in a total time of 6 hours. Find the speed of stream.
A. 5 Km/h B. 6 Km/h C. 15 Km/h D. 7 Km/h
Answer: A
A person can row | |||
| Right Option : C | |||
| View Explanation | |||
The speed of a motorboat is 30 km/h. It starts from Mumbai at 6 am and reaches Goa at 8 am. Same day, it starts from Goa at 12 pm and reaches Mumbai at 4 pm. Find the speed of stream. | |||
| Right Option : C | |||
| View Explanation | |||
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 | |||
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