A steamer goes downstream from one point to another in 7 hours it covers the same distance upstream in 8 hours if the speed of the stream be to kilometre per hour find the speed of steamer in still water and the distance between the ports
Answers
Answer:30 km/hr, 224 km
Step-by-step explanation:
Let the speed of the steamer in still water = x km/hr.
Given,Speed of stream = 2 km/hr.
Downstream Speed = (x + 2) km/hr.
Upstream Speed = (x - 2) km/hr.
Given, distance covered in 7 hours while downstream = 7(x + 2).
Given, distance covered in 8 hours while upstream = 8(x - 2).
Now,
⇒ 7(x + 2) = 8(x - 2)
⇒ 7x + 14 = 8x - 16
⇒ 7x - 8x = -16 - 14
⇒ -x = -30
⇒ x = 30.
Now,
∴ Distance between the ports = 7(x + 2) km
= 7(30 + 2)
= 7(32)
= 224 km.
Therefore:
Speed of the steamer in still water = 30 km/hr.
Distance between the ports = 224 km.
Hope it helps!
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Solution:
Let speed of steamer in still water = x km/h
Speed of stream = 2 km/h
Speed downstream = (x + 2) km/h
Speed upstream = (x – 2) km/h
Distance covered in 7 hours while downstream = 7(x + 2)
Distance covered in 8 hours while upstream = 8(x – 2)
According to the condition,
7(x + 2) = 8(x – 2)
⇒ 7x + 14 = 8x – 16
⇒ x = 30 km/h
Total Distance = 7(x + 2) km = 7(30 + 2) km = 7 × 32 km = 224 km.