Advertisements
Advertisements
Question
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
Solution
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
RELATED QUESTIONS
The sum of three consecutive multiples of 8 is 888. Find the multiples.
The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?
Fifteen years from now Ravi’s age will be four times his present age. What is Ravi’s present age?
The organizers of an essay competition decide that a winner in the competition gets a prize of Rs 100 and a participant who does not win gets a prize of Rs 25. The total prize money distributed is Rs 3000. Find the number of winners, if the total number of participants is 63.
The perimeter of a rectangle is 13 cm and its width is `2 3/4` cm. Find its length.
The present age of Sahil's mother is three times the present age of Sahil. After 5 years their ages will add to 66 years. Find their present ages.
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 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 perimeter of a rectangle is 240 cm. If its length is increased by 10% and its breadth is decreased by 20%, we get the same perimeter. Find the length and breadth of the rectangle.
There are 40 passengers in a bus, some with Rs. 3 tickets and remaining with Rs. 10 tickets. The total collection from these passengers is Rs. 295. Find how many passengers have tickets worth Rs. 3?
