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
Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
Baichung’s father is 26 years younger than Baichung’s grandfather and 29 years older than Baichung. The sum of the ages of all the three is 135 years. What is the age of each one of them?
After 18 years, Swarnim will be 4 times as old as he is now. His present age is ______.
3 years ago, the age of a boy was y years. His age 2 years ago was (y – 2) years.
Shikha’s present age is p years. Reemu’s present age is 4 times the present age of Shikha. After 5 years Reemu’s age will be 15p 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 sum of three consecutive odd natural numbers is 69. Find the prime number out of these numbers.
Two equal sides of a triangle are each 4 m less than three times the third side. Find the dimensions of the triangle, if its perimeter is 55 m.
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.
A lady went to a bank with Rs. 1,00,000. She asked the cashier to give her Rs. 500 and Rs. 1,000 currency notes in return. She got 175 currency notes in all. Find the number of each kind of currency notes.
