Advertisements
Advertisements
प्रश्न
The distance between two stations is 340 km. Two trains start simultaneously from these stations on parallel tracks to cross each other. The speed of one of them is greater than that of the other by 5 km/hr. If the distance between the two trains after 2 hours of their start is 30 km, find the speed of each train.
उत्तर
Let, the speed of the first train be x km/h .
Then, the speed of the other train will be (x + 5) km/h .
2 hours after they started:
Distance of the first train from the starting point = 2x km
Distance of the other train from the starting point = 2(x + 5) km
Now,
2(x + 5) + 2x + 30 = 340
or 4x + 10 + 30 = 340
or 4x = 340 - 40
or \[ x = \frac{300}{4} = 75\]
\[ \therefore\text{ Speed of the first train }= 75 km/h . \]
\[\text{ Speed of the other train }= (75 + 5) = 80 km/h . \]
APPEARS IN
संबंधित प्रश्न
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. Find their present ages.
Four-fifth of a number is more than three-fourth of the number by 4. Find the number.
A number whose fifth part increased by 5 is equal to its fourth part diminished by 5. Find the number.
The ages of sonu and Monu are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.
I am currently 5 times as old as my son. In 6 years time I will be three times as old as he will be then. What are our ages now?
At a party, colas, squash and fruit juice were offered to guests. A fourth of the guests drank colas, a third drank squash, two fifths drank fruit juice and just three did not drink any thing. How many guests were in all?
A lady went shopping and spent half of what she had on buying hankies and gave a rupee to a beggar waiting outside the shop. She spent half of what was left on a lunch and followed that up with a two rupee tip. She spent half of the remaining amount on a book and three rupees on bus fare. When she reached home, she found that she had exactly one rupee left. How much money did she start with?
Solve: `(x + 1)/(2x + 3) = 3/8`.
If `x/11 = 15`, then `x = 11/15`
The age of A is five years more than that of B. 5 years ago, the ratio of their ages was 3 : 2. Find their present ages.
