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A motor boat whose speed is 15 km/hr in still water goes 30 km downstream and returns back to the starting point in a total time of 4 hours 30 mins. Find the speed of the stream.
- Mathematics
- Speed Distance and Time
A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is:
Let the speed of the stream be x k m / h r speed downstream = ( 15 + x ) k m / h r speed upstream = ( 15 − x ) k m / h r distance travelled downstream = 30 k m distance travelled upstream = 30 k m time upstream = distance upstream speed upstream time upstream = 30 15 − x time downstream = distance downstream speed downstream time downstream = 30 15 − x total time taken 4.5 h r s 4.5 = 30 15 − x + 30 15 + x 4.5 = 30 ( 15 + x ) + 30 ( 15 − x ) 225 − x 2 4.5 = 900 225 − x 2 225 − x 2 = 200 x 2 = 25 x = 5 k m / h r hence the correct option is (b)..
Q12. A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is-
The speed of a boat in still water is 15 km/hr. It goes 30 km upstream and returns back at the same point in 4 hours 30 minutes. Find the speed of the stream. [CBSE 2017]
Let, speed of stream be x km/h speed of boat = 15 km/h distance from each side = 30 km we know that time taken = distance covered speed total speed of the boat while going upstream = 15 - x km/h time taken to go upstream = 30 15 - x hrs total speed of boat while going downstream = 15 + x km/h time taken to go downstream = 30 15 + x hrs total time of the journey = 4 1 2 hrs = 4.5 hrs ⇒ 30 15 - x + 30 15 + x = 4 . 5 ⇒ 30 ( 15 + x ) + ( 15 - x ) ( 15 ) 2 - x 2 = 4 . 5 ⇒ 30 15 + x + 15 - x = 4 . 5 ( 15 ) 2 - x 2 ⇒ 30 30 = 4 . 5 225 - x 2 ⇒ 30 × 30 4 . 5 = 225 - x 2 ⇒ 225 - x 2 = 200 ⇒ x 2 = 25 ⇒ x = ± 5 ignore the negative value. so, the speed of the stream = x = 5 km/h.
Q12. A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is-
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A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is: Q. A motor boat whose speed is 15 k m / h r in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. Determine the speed of the stream.
A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is: View Solution. Q3.
A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr)...
Class 10 | A motor boat whose speed is 15 kmhr in still water goes 30 km downstream and comes back in 4 hour 30 minutes. Determine the speed of the stream. |...
The speed of motorboat is 15 km/hr in still water. The total time to go 30 km downstream and comes back is 4 hours 30 minutes. Formula Used: Downstream = Speed of boat in still water + Speed of stream/current. Upstream = Speed of boat in still water - Speed of stream/current. Calculation: Let the speed of stream be x. The total time is 4 + 30/ ...
Given: Speed in still water = 15 km/hr Total distance = 30 km Total time = 4 hrs 30 mins = 412 hr = 9/2 hr. Formula used: Distance = Speed × Time&nbs. Get Started. Exams. ... A motor boat, whose speed is 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hrs 30 mins. The speed of the stream (in km/hr) is:-5 km/hr.
A motor boat whose speed is 15 km\/hr in still water goes 30 km downstream and returns back to the starting point in a total time of 4 hours 30 mins. Find the speed of the stream.. Ans: Hint: First of all, let the speed of stream be x. Now, the speed...
A motorboat whose speed is 15 km/hr in still water goes 30 km downstream and comes back in total of 4 hrs. Determine the speed of the stream. Submitted by Andrea G. Mar. 21, 2022 04:28 p.m. Instant Answer. Step 1/2 Let's call the speed of the stream "x" km/hr. When the motorboat is going downstream, it is moving with the speed of the stream, so ...
A motorboat, whose speed is 15 km /hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream ( in km/h...
Given the boat speed in still water is 15 km/hr and the total travel time is 4.5 hours, the calculated speed of the stream is 5 km/hr. Explanation: ... A motorboat whose speed in 18km/h in still water takes 1 hour more to go 24 km upstream than downstream to the same spot. Find the speed of the stream.
A motorboat whose speed is 9 km/hr in still water, goes 15 km downstream and comes back in a total time of 3 hours 45 minutes. Find the speed of the stream. Find the speed of the stream. View Solution
VIDEO ANSWER: This one says the motorboat goes down the river and covers a distance between two towns in five hours. It takes six hours to cover this distance. The stream is moving at three km/h.
Given: Speed in still water = 15 km/hr Downstream = 30 km Total time taken to comes back = 4 hrs 30 min Formula used: Time = Distance/Speed Upstream. Get Started. ... A motorboat whose speed in still water is 15 km/hr, goes 30 km downstream and comes back in 4 hrs and 30 minutes. The speed of the stream (in km/hr) is ...
a motorboat whose speed is 15 km per hour in still water takes the move to go 24 km upstream then the return downstream to the same spot what is the original speed. Instant Video Answer. Instant Text Answer. Step 1/10 ...
A motor boat whose speed in still water is 9 km/hr, goes 15 km downstream and comes back to the same spot, in a total time of 3 hours 45 minutes. Find the speed of the stream. ... Q12. A motorboat, whose speed in 15 km/hr in still water goes 30 km downstream and comes back in a total of 4 hours 30 minutes. The speed of the stream (in km/hr) is-
VIDEO ANSWER: This one says the motorboat goes down the river and goes between two towns in five hours. The distance is covered in six hours. Three km/h is the speed of the stream.
To find the speed of the stream affecting a motorboat's journey, we will use the concept of relative speed in river problems. The motorboat's speed in still water is given as 15 km/h, and it travels 30 km downstream and returns upstream to its starting point, taking 4 hours and 30 minutes in total. Let's denote the speed of the stream as 's'.
VIDEO ANSWER: We were asked to determine the boat speed in the water. If the speed of the boat in still water is X kilometers per hour, the speed downstream as experts… Get 5 free video unlocks on our app with code GOMOBILE
VIDEO ANSWER: This one says a motorboat goes down the river and covers a distance between two towns in five hours. The distance was covered in six hours. The stream can travel three km/h.