In a 500 m race, the speeds of two runners, A and B are in the ratio 5 : 6. If A is given a start of 100m, by how many meters does A win the race?
A
20 meters
B
40 meters
C
25 meters
D
60 meters
উত্তরের বিবরণ
Question: In a 500 m race, the speeds of two runners, A and B are in the ratio 5 : 6. If A is given a start of 100m, by how many meters does A win the race?
Solution:
Total race length = 500 meters.
A is given a start of 100 meters, so A runs 500 - 100 = 400 meters.
Speed ratio A : B = 5 : 6.
Let, B runs = X meter
Therefore,
400/X = 5/6
⇒ X = (6 × 400)/5
∴ X = 480m
Remaining distance for B = 500 - 480 = 20 meters.
Therefore, A wins by 20 meters.
0
Updated: 14 hours ago
The ratio of milk and water in a solution is 7 : 4. After adding 8 liters of water, the ratio of milk and water becomes 3 : 2. Find the final amount of water in the solution.
Created: 2 months ago
A
48 liters
B
54 liters
C
56 liters
D
60 liters
Solution:
Let the initial amount of milk = 7x liters
Let the initial amount of water = 4x liters
According to the question,
7x/(4x + 8) = 3/2
⇒ 2 × 7x = 3 × (4x + 8)
⇒ 14x = 12x + 24
⇒ 14x - 12x = 24
⇒ 2x = 24
⇒ x = 12
∴ Final amount of water = 4x + 8
= 4 × 12 + 8
= 48 + 8 = 56 liters
0
Updated: 2 months ago
In a mixture of milk and water, the ratio is 7 : 5. If 6 liters of water is added, the new ratio becomes 7 : 6. What was the original amount of milk in the mixture?
Created: 12 hours ago
A
30 liters
B
42 liters
C
36 liters
D
44 liters
Question: In a mixture of milk and water, the ratio is 7 : 5. If 6 liters of water is added, the new ratio becomes 7 : 6. What was the original amount of milk in the mixture?
Solution:
ধরি, শুরুতে দুধ ছিল = 7x লিটার,
পানি ছিল = 5x লিটার।
এখন 6 লিটার পানি যোগ করলে,
নতুন পানি = 5x + 6 লিটার
ATQ,
7x/(5x + 6) = 7/6
⇒ 6 × 7x = 7 × (5x + 6)
⇒ 42x = 35x + 42
⇒ 7x = 42
⇒ x = 6
∴ দুধের পরিমাণ = 7x = 7 × 6 = 42 লিটার
0
Updated: 12 hours ago
261 টি আম তিন ভাইয়ের মধ্যে (1/3) : (1/5) : (1/9) অনুপাতে ভাগ করে দিলে প্রথম ভাই কতটি আম পাবে?
Created: 1 month ago
A
45
B
81
C
90
D
135
প্রশ্ন: 261টি আম তিন ভাইয়ের মধ্যে 1/3 : 1/5 : 1/9 অনুপাতে ভাগ করে দিলে প্রথম ভাই কতটি আম পাবে?
সমাধান:
আম পাওয়ার অনুপাত = 1/3 : 1/5 :1/9
= (1/3) × 45 : (1/5) × 45 : (1/9) × 45
= 15 : 9 : 5
অনুপাতের রাশিগুলোর যোগফল = (15 + 9 + 5) = 29
অতএব, প্রথম ভাই পাবে, = 261 × (15/29) = 135
0
Updated: 1 month ago
