Advertisements
Advertisements
प्रश्न
A steamer goes downstream and covers the distance between two ports in 5 hours while it covers the same distance upstream in 6 hours. If the speed of the stream is 1 km/hr, find the speed of the steamer in still water.
Advertisements
उत्तर
Given, speed of stream = 1 km/h
Let speed of the steamer in still water be x km/h.
Then, speed of steamer downstream = (x + 1) km/h
And speed of steamer upstream = (x – 1) km/h
According to the question,
Distance covered upstream = Distance covered downstream
⇒ (Speed of steamer in upstream) × Time taken upstream
= (Speed of steamer downstream) × Time taken downstream ...[∵ Distance = Speed × Time]
⇒ (x – 1) × 6 = (x + 1) × 5
⇒ 6x – 6 = 5x + 5
⇒ 6x – 5x = 6 + 5
∴ x = 11
Therefore, the speed of steamer in still water is 11 km/h.
APPEARS IN
संबंधित प्रश्न
Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?
A rational number is such that when you multiply it by `5/2`and add `2/3` to the product, you get `-7/12`. What is the number?
The difference between two whole numbers is 66. The ratio of the two numbers is 2: 5. What are the two numbers?
Deveshi has a total of ₹ 590 as currency notes in the denominations of ₹ 50, ₹ 20, and ₹ 10. The ratio of the number of ₹ 50 notes and ₹ 20 notes is 3: 5. If she has a total of 25 notes, how many notes of each denomination she has?
The sum of two consecutive multiples of 10 is 210. The smaller multiple is ______.
3 years ago, the age of a boy was y years. His age 2 years ago was (y – 2) years.
Sum of the ages of Anju and her mother is 65 years. If Anju’s present age is y years then her mother’s age before 5 years is (60 – y) years.
The number of boys and girls in a class are in the ratio 5 : 4. If the number of boys is 9 more than the number of girls, then number of boys is 9.
The sum of four consecutive integers is 266. What are the integers?
On dividing Rs. 200 between A and B such that twice of A’s share is less than 3 times B’s share by 200, B’s share is?
