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
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?
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.
The sum of three consecutive multiples of 7 is 357. Find the smallest multiple.
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.
The sum of four consecutive integers is 266. What are the integers?
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?
A carpenter charged Rs. 2500 for making a bed. The cost of materials used is Rs. 1100 and the labour charges are Rs. 200/hr. For how many hours did the carpenter work?
