The speed of a boat in still water is 6 km/h. The time it takes to travel downstream is half the time it takes to travel upstream. What is the speed of the stream?
A
1 km/h
B
2 km/h
C
3 km/h
D
4 km/h
উত্তরের বিবরণ
Question: The speed of a boat in still water is 6 km/h. The time it takes to travel downstream is half the time it takes to travel upstream. What is the speed of the stream?
Solution:
Let the speed of the current be = x km/h
Then,
Downstream speed = (6 + x) km/h
Upstream speed = (6 − x) km/h
According to the question:
(6 + x) = 2(6 − x)
⇒ 6 + x = 12 - 2x
⇒ 2x + x = 12 - 6
⇒ 3x = 6
⇒ x = 6/3
⇒ x = 2
∴ The speed of the current = 2 km/h

0
Updated: 5 days ago
A 35-liter mixture contains milk and water in a 3 : 4 ratio. How much milk should be added to the mixture to make the ratio equal?
Created: 5 days ago
A
3 liters
B
5 liters
C
7 liters
D
8 liters
Initial ratio: Milk : Water = 3 : 4
Total mixture = 35 liters → Total parts = 3 + 4 = 7-
Quantities in mixture:
-
Milk = liters
-
Water = liters
-
-
Let x = milk to be added
New ratio Milk : Water = 1 : 1 → -
Solve for x:
Answer: 5 liters of milk should be added.

0
Updated: 5 days ago
A swimmer swims in a river against the current and takes 30 minutes to swim 2 km. With the current, he takes 20 minutes to swim the same distance. What is his speed in still water?
Created: 5 days ago
A
3 km/h
B
4 km/h
C
5 km/h
D
6 km/h
Question: A swimmer swims in a river against the current and takes 30 minutes to swim 2 km. With the current, he takes 20 minutes to swim the same distance. What is his speed in still water?
Solution:
Given that,
distance covered= 2 km
time consumed = 30 min = 30/60 hr = 1/2 hr
∴ speed of the swimmer against current (upstream) = 2/(1/2) = 4 km/hr
Again,
With the current,
distance covered = 2 km
time consumed= 20 min = 20/60 hr = 1/3 hr
∴ speed of the swimmer with current (downstream)= 2/(1/3) = 6 km/hr
∴ speed in still water = (speed in downstream + speed in upstream)/2
= (6 + 4)/2
=10/2
= 5
So, the swimmer’s speed in still water is 5 km/h

0
Updated: 5 days ago
A ferry can carry 25 trucks or 40 motorcycles at a time. If there are 15 trucks on the ferry, how many motorcycles can be loaded onto it?
Created: 2 weeks ago
A
18 motorcycles
B
8 motorcycles
C
12 motorcycles
D
16 motorcycles
গণিত
অনুপাত - সমানুপাত (Ration-Proportion-Algebra)
অনুপাত-সমানুপাত (Ratio-Proportion)
No subjects available.
Question: A ferry can carry 25 trucks or 40 motorcycles at a time. If there are 15 trucks on the ferry, how many motorcycles can be loaded onto it?
Solution:
Here,
25 trucks = 40 motorcycles
∴ 1 trucks = 40/25 = 8/5 motorcycles
∴ 15 trucks = = (8 × 15)/5 = 24 motorcycles
∴ Required number of motorcycles = 40 - 24 = 16
So the ferry can carry 16 more motorcycles along with the 15 trucks.

0
Updated: 2 weeks ago