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
Lakshmi is a cashier in a bank. She has currency notes of denominations Rs 100, Rs 50 and Rs 10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs 4, 00,000. How many notes of each denomination does she have?
What should be added to twice the rational number `(-7)/3 "to get" 3/7`?
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.
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.
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.
If the sum of two consecutive numbers is 93 and one of them is x, then the other number is 93 – x.
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?
An employee works in a company on a contract of 30 days on the condition that he will receive Rs. 120 for each day he works and he will be fined Rs. 10 for each day he is absent. If he receives Rs. 2300 in all, for how many days did he remain absent?
Distance between two places A and B is 210 km. Two cars start simultaneously from A and B in opposite direction and distance between them after 3 hours is 54 km. If speed of one car is less than that of other by 8 km/hr, find the speed of each.
For what value of x is the perimeter of shape 77 cm?
