Question

A Motorboat Whose Speed Is 18 km/hr In Still Water Takes 1 hr More To Go 24 km Upstream Then To Return Downstream To The Same Spot Find The Speed Of The Stream

Answer 1

Answer:

6km/hr

Step-by-step explanation:

let speed of the stream=X

1. (s=d/t) time taken by by boat in still water,t=24/18=4/3hr
2. time taken by boat in upstream =[t+1]=4/3+1=7/3hr
3. speed of boat in upstream=(18-x)=24×3/7
4. X=18-72/7=54/7=6hr

Answer 2

Let the speed of the stream be x km\hr.

Let the speed of the stream be x km\hr.The speed of the boat upstream = (18 - x) km/hr

Let the speed of the stream be x km\hr.The speed of the boat upstream = (18 - x) km/hrThe speed of the boat downstream = (18 + x) km/hr

Let the speed of the stream be x km\hr.The speed of the boat upstream = (18 - x) km/hrThe speed of the boat downstream = (18 + x) km/hrDistance = 24 km

Let the speed of the stream be x km\hr.The speed of the boat upstream = (18 - x) km/hrThe speed of the boat downstream = (18 + x) km/hrDistance = 24 kmAs given in the question,

Let the speed of the stream be x km\hr.The speed of the boat upstream = (18 - x) km/hrThe speed of the boat downstream = (18 + x) km/hrDistance = 24 kmAs given in the question,Time for upstream = 1 + Time for downstream

Let the speed of the stream be x km\hr.The speed of the boat upstream = (18 - x) km/hrThe speed of the boat downstream = (18 + x) km/hrDistance = 24 kmAs given in the question,Time for upstream = 1 + Time for downstream24/(18 - x) = 1 + 24/(18 + x)

Let the speed of the stream be x km\hr.The speed of the boat upstream = (18 - x) km/hrThe speed of the boat downstream = (18 + x) km/hrDistance = 24 kmAs given in the question,Time for upstream = 1 + Time for downstream24/(18 - x) = 1 + 24/(18 + x)24/(18 - x) - 24/(18 + x) = 1

Let the speed of the stream be x km\hr.The speed of the boat upstream = (18 - x) km/hrThe speed of the boat downstream = (18 + x) km/hrDistance = 24 kmAs given in the question,Time for upstream = 1 + Time for downstream24/(18 - x) = 1 + 24/(18 + x)24/(18 - x) - 24/(18 + x) = 1x2 + 48x - 324 = 0

Let the speed of the stream be x km\hr.The speed of the boat upstream = (18 - x) km/hrThe speed of the boat downstream = (18 + x) km/hrDistance = 24 kmAs given in the question,Time for upstream = 1 + Time for downstream24/(18 - x) = 1 + 24/(18 + x)24/(18 - x) - 24/(18 + x) = 1x2 + 48x - 324 = 0(x + 54)(x - 6) = 0

Let the speed of the stream be x km\hr.The speed of the boat upstream = (18 - x) km/hrThe speed of the boat downstream = (18 + x) km/hrDistance = 24 kmAs given in the question,Time for upstream = 1 + Time for downstream24/(18 - x) = 1 + 24/(18 + x)24/(18 - x) - 24/(18 + x) = 1x2 + 48x - 324 = 0(x + 54)(x - 6) = 0x ≠ - 54 as speed cannot be negative.

Let the speed of the stream be x km\hr.The speed of the boat upstream = (18 - x) km/hrThe speed of the boat downstream = (18 + x) km/hrDistance = 24 kmAs given in the question,Time for upstream = 1 + Time for downstream24/(18 - x) = 1 + 24/(18 + x)24/(18 - x) - 24/(18 + x) = 1x2 + 48x - 324 = 0(x + 54)(x - 6) = 0x ≠ - 54 as speed cannot be negative.x = 6

Let the speed of the stream be x km\hr.The speed of the boat upstream = (18 - x) km/hrThe speed of the boat downstream = (18 + x) km/hrDistance = 24 kmAs given in the question,Time for upstream = 1 + Time for downstream24/(18 - x) = 1 + 24/(18 + x)24/(18 - x) - 24/(18 + x) = 1x2 + 48x - 324 = 0(x + 54)(x - 6) = 0x ≠ - 54 as speed cannot be negative.x = 6The speed of the stream = 6 km/hr