A steamer goes downstream from one point to another in 7 hours, it covers the same distance upstream in 8 hours. If speed of the stream be 2km/hr, find the speed of the steamer in still water and the distance between the ports.
Please answer
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!
Step-by-step explanation:
speed of stream = 2 km/hr
let speed of boat (in still water) = x km/hr
while going downstream his speed = x+2 km/hr
and going upstream = x-2 km/hr
now A/Q
dis /x+2 = 7⇒ dis = 7 (x+2) ......(1)
and dis / x-2 = 8 ⇒ dis = 8(x-2) ............(2)
(1) = (2)
7x + 14= 8x - 16 ⇒ x = 30 km/hr
and dis = 7(30+2) = 7 x 32 = 224 km